which polygon or polygons are regular jiskha

There are two types of polygons, regular and irregular polygons. Divide the given polygon into smaller sections forming different regular or known polygons. Regular Polygons Instruction Polygons Use square paper to make gures. Monographs Irregular polygons are those types of polygons that do not have equal sides and equal angles. $80^\circ$ = $\frac{360^\circ}{n}$$\Rightarrow$ $n$ = 4.5, which is not possible as the number of sides can not be in decimal. The volume of a cube is side. 5.20: Regular and Irregular Polygons - K12 LibreTexts A polygon is regular when all angles are equal and all sides are equal (otherwise it is "irregular"). A. 4.d (an irregular quadrilateral) Hence, the rectangle is an irregular polygon. with [CDATA[ Use the determinants and evaluate each using the properties of determinants. Square equilaterial triangle is the only choice. A regular polygon has all angles equal and all sides equal, otherwise it is irregular Concave or Convex A convex polygon has no angles pointing inwards. Thumbnail: Regular hexagon with annotation. A.Quadrilateral regular Regular (Square) 1. The exterior angle of a regular hexagon is $ \frac{360^\circ}6 = 60^\circ$. angles. \[ A_{p}=n a^{2} \tan \frac{180^\circ}{n} = \frac{ n a s }{ 2 }. 3. = \frac{ ns^2 } { 4} \cot \left( \frac{180^\circ } { n } \right ) Find the measurement of each side of the given polygon (if not given). Irregular polygons can still be pentagons, hexagons and nonagons, but they do not have congruent angles or equal sides. (a.rectangle (b.circle (c.equilateral triangle (d.trapezoid asked by ELI January 31, 2017 7 answers regular polygon: all sides are equal length. "1. Find the area of the regular polygon. Give the answer to the No tracking or performance measurement cookies were served with this page. A polygon can be categorized as a regular and irregular polygon based on the length of its sides. Kite For example, if the number of sides of a regular regular are 4, then the number of diagonals = $\frac{4\times1}{2}=2$. This page titled 7: Regular Polygons and Circles is shared under a CC BY-NC-SA 4.0 license and was authored, remixed, and/or curated by Henry Africk (New York City College of Technology at CUNY Academic Works) via source content that was edited to the style and standards of the LibreTexts platform; a detailed edit history is available upon request. Interior angles of polygons To find the sum of interior. \ _\square Similarly, we have regular polygons for heptagon (7-sided polygon), octagon (8-sided polygon), and so on. \[A=\frac{1}{2}aP=\frac{1}{2}CD \cdot P=\frac{1}{2}(6)\big(24\sqrt{3}\big)=72\sqrt{3}.\ _\square\], Second method: Use the area formula for a regular hexagon. So, each interior angle = $\frac{(8-2)\times180^\circ}{8} = 135^\circ$. What is the difference between a regular and an irregular polygon? Shoneitszeliapink. 1. What is a tessellation, and how are transformations used - Brainly Example 3: Find the missing length of the polygon given in the image if the perimeter of the polygon is 18.5 units. There are n equal angles in a regular polygon and the sum of an exterior angles of a polygon is $360^\circ$. So, option 'C' is the correct answer to the following question. A polygon that is equiangular and equilateral is called a regular polygon. which becomes Rhombus. Find the remaining interior angle . Solution: Each exterior angle = $180^\circ 100^\circ = 80^\circ$. In order to find the area of polygon let us first list the given values: For trapezium ABCE, 4: A Length of AB = 4 units 2: A Thus, x = 18.5 - (3 + 4 + 6 + 2 + 1.5) = 2 units. are regular -gons). What is the sum of the interior angles in a regular 10-gon? The number of diagonals is given by $\frac{n(n-3)}{2}$. 4. 1. Difference Between Irregular and Regular Polygons. In order to calculate the value of the area of an irregular polygon we use the following steps: Breakdown tough concepts through simple visuals. Your Mobile number and Email id will not be published. All sides are congruent, and all angles are congruent{A, and C} A. triangle Polygons are two dimensional geometric objects composed of points and line segments connected together to close and form a single shape and regular polygon have all equal angles and all equal side lengths. \[CD=\frac{\sqrt{3}}{2}{AB} \implies AB=\frac{2}{\sqrt{3}}{CD}=\frac{2\sqrt{3}}{3}(6)=4\sqrt{3}.\] Some of the properties of regular polygons are listed below. and a line extended from the next side. PQ QR RP. The examples of regular polygons include equilateral triangle, square, regular pentagon, and so on. The interior angles in an irregular polygon are not equal to each other. Then, try some practice problems. C. 40ft A) 65in^2 B) 129.9in^2 C) 259.8in^2 D) 53in^2 See answer Advertisement Hagrid A Pentagon with a side of 6 meters. A hexagon is considered to be irregular when the six sides of the hexagons are not in equal length. Jeremy is using a pattern to make a kite, Which is the best name for the shape of his kite? When the angles and sides of a pentagon and hexagon are not equal, these two shapes are considered irregular polygons. The sum of interior angles in any -gon is given by radians, or (Zwillinger 1995, p.270). a. regular b. equilateral *** c. equiangular d. convex 2- A road sign is in the shape of a regular heptagon. All sides are congruent Angle of rotation =$\frac{360}{4}=90^\circ$. Irregular polygons have a few properties of their own that distinguish the shape from the other polygons. Segments QS , SU , UR , RT and QT are the diagonals in this polygon. polygon. Only certain regular polygons The measurement of all interior angles is not equal. \[n=\frac{n(n-3)}{2}, \] If any internal angle is greater than 180 then the polygon is concave. 5. A and C Frequency Table in Math Definition, FAQs, Examples, Cylinder in Math Definition With Examples, Straight Angle Definition With Examples, Order Of Operations Definition, Steps, FAQs,, Fraction Definition, Types, FAQs, Examples, Regular Polygon Definition With Examples. Thus, in order to calculate the area of irregular polygons, we split the irregular polygon into a set of regular polygons such that the formulas for their areas are known. Required fields are marked *, $\begin{array}{l}A = \frac{l^{2}n}{4tan(\frac{\pi }{n})}\end{array} $, Frequently Asked Questions on Regular Polygon. This should be obvious, because the area of the isosceles triangle is $ \frac{1}{2} \times \text{ base } \times \text { height } = \frac{ as } { 2} $. Geometry B Unit 2: Polygons and Quadrilaterals Lesson 12 - Quizlet D. All angles measure 90 degrees (Assume the pencils have a rectangular body and have their tips resembling isosceles triangles), Suppose $A_{1}$$A_{2}$$A_{3}$$\ldots$$A_{n}$ is an $n$-sided regular polygon such that, \[\frac{1}{A_{1}A_{2}}=\frac{1}{A_{1}A_{3}}+\frac{1}{A_{1}A_{4}}.\]. 16, 6, 18, 4, (OEIS A089929). Hey guys I'm going to cut the bs the answers are correct trust me Solution: It can be seen that the given polygon is an irregular polygon. First, we divide the hexagon into small triangles by drawing the radii to the midpoints of the hexagon. The sum of interior angles of a regular polygon, S = (n 2) 180 That means, they are equiangular. The side of regular polygon = $\frac{360^\circ}{Each exterior angle}$, Determine the Perimeter of Regular Shapes Game, Find Missing Side of Irregular Shape Game, Find the Perimeter of Irregular Shapes Game, Find the Perimeter of Regular Shapes Game, Identify Polygons and Quadrilaterals Game, Identify the LInes of Symmetry in Irregular Shapes Game, Its interior angle is $\frac{(n-2)180^\circ}{n}$. In the given rectangle ABCD, the sides AB and CD are equal, and BC and AD are equal, AB = CD & BC = AD. We can learn a lot about regular polygons by breaking them into triangles like this: Now, the area of a triangle is half of the base times height, so: Area of one triangle = base height / 2 = side apothem / 2. Figure 5.20. Irregular polygons. geometry A is correct on c but I cannot the other one. Which of the following is the ratio of the measure of an interior angle of a 24-sided regular polygon to that of a 12-sided regular polygon? Sign up, Existing user? D In the triangle PQR, the sides PQ, QR, and RP are not equal to each other i.e. the "height" of the triangle is the "Apothem" of the polygon. Regular polygons may be either convex, star or skew.In the limit, a sequence of regular polygons with an increasing number of sides approximates a circle, if the perimeter or area is fixed, or a regular apeirogon (effectively a . on Topics of Modern Mathematics Relevant to the Elementary Field. What is the measure of each angle on the sign? The correct answers for the practice is: Regular polygons with equal sides and angles A polygon is a plane shape (two-dimensional) with straight sides. Geometrical Foundation of Natural Structure: A Source Book of Design. Commonly, one is given the side length $s $, the apothem $a$ (the distance from center to side--it is also the radius of the tangential incircle, often given as $r$), or the radius $R$ (the distance from center to vertex--it is also the radius of the circumcircle). The area of the triangle is half the apothem times the side length, which is \[ A_{t}=\frac{1}{2}2a\tan \frac{180^\circ}{n} \cdot a=a^{2}\tan \frac{180^\circ}{n} .\] In a regular polygon (equal sides and angles), you use (n-2)180 to | page 5 Review the term polygon and name polygons with up to 8 sides. As a result of the EUs General Data Protection Regulation (GDPR). In geometry, a 4 sided shape is called a quadrilateral. These segments are called its edges or sides, and the points where two edges meet are the polygon's vertices or corners. C. All angles are congruent** The polygon ABCD is an irregular polygon. A. triangle B. trapezoid** C. square D. hexagon 2. In this exercise, solve the given problems. Thus, the area of triangle ECD = (1/2) base height = (1/2) 7 3 In other words, a polygon with four sides is a quadrilateral. The area of polygon can be found by dividing the given polygon into a trapezium and a triangle where ABCE forms a trapezium while ECD forms a triangle. In Euclidean geometry, a regular polygon is a polygon that is direct equiangular (all angles are equal in measure) and equilateral (all sides have the same length). Only some of the regular polygons can be built by geometric construction using a compass and straightedge. First of all, we can work out angles. It follows that the measure of one exterior angle is. Since the sides are not equal thus, the angles will also not be equal to each other. Finding the perimeter of a regular polygon follows directly from the definition of perimeter, given the side length and the number of sides of the polygon: The perimeter of a regular polygon with $n$ sides with side length $s$ is $P=ns.$. A regular polygon is a type of polygon with equal side lengths and equal angles. 50 75 130***, Select all that apply. bobpursley January 31, 2017 thx answered by ELI January 31, 2017 Can I get all the answers plz answered by @me 2.b Previous Is Mathematics? CRC Standard Mathematical Tables, 28th ed. The formula is: Sum of interior angles = (n 2) 180 where 'n' = the number of sides of a polygon. The radius of the square is 6 cm. Polygons can be regular or irregular. A regular polygon with $400$ sides of length $\sqrt{\tan{\frac{9}{20}}^{\circ}}$ has an area of $x^2,$ where $x$ is a positive integer. A polygon is traditionally a plane figure that is bounded by a finite chain of straight line segments closing in a loop to form a closed chain. here are all of the math answers i got a 100% for the classifying polygons practice Dropping the altitude from $O$ to the side length (of 1) shows that the $r$ satisfies the equation $r = \cos 30^\circ $ and $R $ is simply the circumradius of the hexagon, so $R = 1$. 5.) 7: Regular Polygons and Circles - Mathematics LibreTexts Let us look at the formulas: An irregular polygon is a plane closed shape that does not have equal sides and equal angles. The terms equilateral triangle and square refer to the regular 3- and 4-polygons . It does not matter with which letter you begin as long as the vertices are named consecutively. Draw $CA,CB,$ and the apothem $CD$ $($which, you need to remember, is perpendicular to $AB$ at point $D).$ Then, since $CA \cong CB$, $\triangle ABC$ is isosceles, and in particular, for a regular hexagon, $\triangle ABC$ is equilateral. The In this section, the area of regular polygon formula is given so that we can find the area of a given regular polygon using this formula. 5.d 80ft which g the following is a regular polygon. Solution: We know that each interior angle = $\frac{(n-2)\times180^\circ}{n}$, where n is the number of sides. 3: B In the triangle, ABC, AB = AC, and B = C. Area when the apothem $a$ and the side length $s$ are given: Using $ a \tan \frac{180^\circ}{n} = \frac{s}{2} $, we obtain Solution: The number of diagonals of a n sided polygon = $n\frac{(n-3)}{2}$$=$$12\frac{(12-3)}{2}=54$. For example, the sides of a regular polygon are 6. Square is an example of a regular polygon with 4 equal sides and equal angles. D 1. Taking the ratio of their areas, we have \[ \frac{ \pi R^2}{\pi r^2} = \sec^2 30^\circ = \frac43 = 4 :3. All are correct except 3. Regular Polygons - Properties The sum of its interior angles will be, \[180 \times (12 - 2)^\circ = 180 \times 10^\circ =1800^\circ.\ _\square\], Let the polygon have $n$ sides. A rectangle is considered an irregular polygon since only its opposite sides are equal in equal and all the internal angles are equal to 90. { "7.01:_Regular_Polygons" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "7.02:_Circles" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "7.03:_Tangents_to_the_Circle" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "7.04:_Degrees_in_an_Arc" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "7.05:_Circumference_of_a_circle" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "7.06:_Area_of_a_Circle" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()" }, { "00:_Front_Matter" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "01:_Lines_Angles_and_Triangles" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "02:_Congruent_Triangles" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "03:_Quadrilaterals" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "04:_Similar_Triangles" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "05:_Trigonometry_and_Right_Triangles" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "06:_Area_and_Perimeter" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "07:_Regular_Polygons_and_Circles" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "zz:_Back_Matter" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()" }, { "An_IBL_Introduction_to_Geometries_(Mark_Fitch)" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "Elementary_College_Geometry_(Africk)" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "Euclidean_Plane_and_its_Relatives_(Petrunin)" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "Geometry_with_an_Introduction_to_Cosmic_Topology_(Hitchman)" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "Modern_Geometry_(Bishop)" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()" }, [ "article:topic-guide", "license:ccbyncsa", "showtoc:no", "authorname:hafrick", "licenseversion:40", "source@https://academicworks.cuny.edu/ny_oers/44" ], https://math.libretexts.org/@app/auth/3/login?returnto=https%3A%2F%2Fmath.libretexts.org%2FBookshelves%2FGeometry%2FElementary_College_Geometry_(Africk)%2F07%253A_Regular_Polygons_and_Circles, $ \newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}}}$ $ \newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash{#1}}} $$\newcommand{\id}{\mathrm{id}}$ $ \newcommand{\Span}{\mathrm{span}}$ $ \newcommand{\kernel}{\mathrm{null}\,}$ $ \newcommand{\range}{\mathrm{range}\,}$ $ \newcommand{\RealPart}{\mathrm{Re}}$ $ \newcommand{\ImaginaryPart}{\mathrm{Im}}$ $ \newcommand{\Argument}{\mathrm{Arg}}$ $ \newcommand{\norm}[1]{\| #1 \|}$ $ \newcommand{\inner}[2]{\langle #1, #2 \rangle}$ $ \newcommand{\Span}{\mathrm{span}}$ $\newcommand{\id}{\mathrm{id}}$ $ \newcommand{\Span}{\mathrm{span}}$ $ \newcommand{\kernel}{\mathrm{null}\,}$ $ \newcommand{\range}{\mathrm{range}\,}$ $ \newcommand{\RealPart}{\mathrm{Re}}$ $ \newcommand{\ImaginaryPart}{\mathrm{Im}}$ $ \newcommand{\Argument}{\mathrm{Arg}}$ $ \newcommand{\norm}[1]{\| #1 \|}$ $ \newcommand{\inner}[2]{\langle #1, #2 \rangle}$ $ \newcommand{\Span}{\mathrm{span}}$$\newcommand{\AA}{\unicode[.8,0]{x212B}}$, New York City College of Technology at CUNY Academic Works, source@https://academicworks.cuny.edu/ny_oers/44. 375mm2 C. 750mm2 D. 3780mm2 2. \ _\square \], The diagram above shows a regular hexagon ${ H }_{3 }$ with area $H$ which has six right triangles inscribed in it. Hence, they are also called non-regular polygons. Side of pentagon = 6 m. Area of regular pentagon = Area of regular pentagon = Area of regular pentagon = 61.94 m. Trust me if you want a 100% but if not you will get a bad grade, Help is right for Lesson 6 Classifying Polygons Math 7 B Unit 1 Geometry Classifying Polygons Practice! round to the, A. circle B. triangle C. rectangle D. trapezoid. First, we divide the square into small triangles by drawing the radii to the vertices of the square: Then, by right triangle trigonometry, half of the side length is $\sin\left(45^\circ\right) = \frac{1}{\sqrt{2}}.$, Thus, the perimeter is $2 \cdot 4 \cdot \frac{1}{\sqrt{2}} = 4\sqrt{2}.$ $_\square$. So, the sum of interior angles of a 6 sided polygon = (n 2) 180 = (6 2) 180, Since a regular polygon is equiangular, the angles of n sided polygon will be of equal measure. here are all of the math answers i got a 100% for the classifying polygons practice 1.a (so the big triangle) and c (the huge square) 2. b trapezoid 3.a (all sides are congruent ) and c (all angles are congruent) 4.d ( an irregular quadrilateral) 5.d 80ft 100% promise answered by thank me later March 6, 2017 &=45\cdot \cot 30^\circ\\ A scalene triangle is considered an irregular polygon, as the three sides are not of equal length and all the three internal angles are also not in equal measure and the sum is equal to 180. A regular polygon is an -sided The site owner may have set restrictions that prevent you from accessing the site. 80 ft{D} polygons in the absence of specific wording. 50 75 130***. A shape has rotational symmetry when it can be rotated and still it looks the same. and classical Greek tools of the compass and straightedge. Polygons that do not have equal sides and equal angles are referred to as irregular polygons. Example: A square is a polygon with made by joining 4 straight lines of equal length. What is a polygon? If all the sides and interior angles of the polygons are equal, they are known as regular polygons. The small triangle is right-angled and so we can use sine, cosine and tangent to find how the side, radius, apothem and n (number of sides) are related: There are a lot more relationships like those (most of them just "re-arrangements"), but those will do for now. Example 1: If the three interior angles of a quadrilateral are 86,120, and 40, what is the measure of the fourth interior angle? The measure of each interior angle = 120. A polygon is a two-dimensional geometric figure that has a finite number of sides. List of polygons A pentagon is a five-sided polygon. 1.a (so the big triangle) and c (the huge square) What is the ratio between the areas of the two circles (larger circle to smaller circle)? from your Reading List will also remove any What Observe the interior angles A, B, and C in the following triangle. 5.d, all is correct excpet for #2 its b trapeizoid, thanks this helped me so much and yes #2 is b, dude in the practice there is not two choices, 1.a (so the big triangle) and c (the huge square) The Polygon Angle-Sum Theorem states the following: The sum of the measures of the angles of an n-gon is _____. Properties of Regular Polygons Taking $n=6$, we obtain \[A=\frac{ns^2}{4}\cot\frac{180^\circ}{n}=\frac{6s^2}{4}\cot\frac{180^\circ}{6}=\frac{3s^2}{2}\cot 30^\circ=\frac{3s^2}{2}\sqrt{3}=72\sqrt{3}.\ _\square\]. See the figure below. 157.5 9. However, the below figure shows the difference between a regular and irregular polygon of 7 sides. Those are correct Rectangle 5. c. Symmetric d. Similar . 5.d 80ft All the three sides and three angles are not equal. https://mathworld.wolfram.com/RegularPolygon.html. Polygons can be regular or irregular. Polygons can be classified as regular or irregular. The area of the triangle can be obtained by: 5. Side Perimeter See all Math Geometry Basic 2-D shapes The sum of all the interior angles of a simple n-gon or regular polygon = (n 2) 180, The number of diagonals in a polygon with n sides = n(n 3)/2, The number of triangles formed by joining the diagonals from one corner of a polygon = n 2, The measure of each interior angle of n-sided regular polygon = [(n 2) 180]/n, The measure of each exterior angle of an n-sided regular polygon = 360/n. Sorry connexus students, Thanks guys, Jiskha is my go to website tbh, For new answers of 2020 If the polygons have common vertices , the number of such vertices is $\text{__________}.$. A rhombus is not a regular polygon because the opposite angles of a rhombus are equal and a regular polygon has all angles equal. In regular polygons, not only the sides are congruent but angles are too. Rhombus 3. The Greeks invented the word "polygon" probably used by the Greeks well before Euclid wrote one of the primary books on geometry around 300 B.C. The following lists the different types of polygons and the number of sides that they have: A triangle is a threesided polygon. Do you think regular or irregular, Pick one of the choices below 1. rectangle 2. square 3. triangle 4. hexagon, 1.square 2.hexagon 3.triangle 4.trapezoid, Snapchat: @snipergirl247 Discord: XxXCrazyCatXxX1#5473. & = \frac{nr^2}{2} \sin\frac{360^\circ}{n}. $A, B, C, D$ are 4 consecutive points of this polygon. It is possible to construct relatively simple two-dimensional functions that have the symmetry of a regular -gon (i.e., whose level curves A Classifying Polygons - CliffsNotes 3. (CC0; Lszl Nmeth via Wikipedia). 4.d (an irregular quadrilateral) Notice that as "n" gets bigger, the Apothem is tending towards 1 (equal to the Radius) and that the Area is tending towards = 3.14159, just like a circle. A right angle concave hexagon can have the shape of L. A polygon is a simple closed two-dimensional figure with at least 3 straight sides or line segments. Therefore, the polygon desired is a regular pentagon. Using similar methods, one can determine the perimeter of a regular polygon circumscribed about a circle of radius 1. Alyssa, Kayla, and thank me later are all correct I got 100% thanks so much!!!! is the inradius, In other words, irregular polygons are not regular. An octagon is an eightsided polygon. Find the area of the hexagon. Regular polygons with . Therefore, the missing length of polygon ABCDEF is 2 units. Find out more information about 'Pentagon' Accessibility StatementFor more information contact us atinfo@libretexts.org. The figure below shows one of the $n$ isosceles triangles that form a regular polygon. The measure of each interior angle = 108. A rug in the shape of the shape of a regular quadrilateral has a length of 20 ft. What is the perimeter of the rug? Click to know more! D Some of the regular polygons along with their names are given below: Equilateral triangle is the regular polygon with the least number of possible sides.