How To Find The Perimeter Of A Polygon With Vertices

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More Lessons on Geometry

In these lessons, we volition learn the perimeter of the following polygons:

square
rectangle
parallelogram
triangle
rhomb
trapezoid

We will also learn how to solve word bug involving perimeter of polygons.

Perimeter of Polygons

The perimeter of a polygon is the sum of the lengths of its sides. It is the distance around the outside of the polygon.

Run across too area of circles, circumference of circles.

Perimeter of a Foursquare

Since the sides of a square are equal, the perimeter of a square is 4 times the length of its side.

Perimeter of a foursquare = s + s + s + s = 4s

where due south is the length of 1 side

Perimeter of a Rectangle

A rectangle has four sides, with opposite sides beingness equal in length.

Perimeter of a rectangle = 50 + l + w + due west = 2(fifty + w),

where l is the length and w is the width of the rectangle.

Worksheet ane, Worksheet 2, Worksheet iii to calculate the area and perimeter of rectangles.

Perimeter of a Parallelogram

Similar to a rectangle, a parallelogram has four sides with opposite sides being equal in length.

Perimeter of a parallelogram = fifty + l + west + w = 2(fifty + w)

where l is the length and w is the width of the parallelogram.

Worksheet to calculate the area and perimeter of parallelograms

Perimeter of a Triangle

Perimeter of a triangle = a + b + c

where a, b and c are the lengths of each side of the triangle.

Perimeter of a Rhomb

A rhombus has 4 equal sides, so the perimeter of a rhombus is 4 times the length of its side.

Perimeter of a rhombus = s + southward + s + s = 4s

where s is the length of one side

Perimeter of a Trapezoid

a is parallel to b

Perimeter of a trapezoid = a + b + c + d

where a, b, c and d are the lengths of each side.

Videos

How to detect the Perimeter of a Rectangle?

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How to detect the Perimeter of a Parallelogram?

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How to notice the Perimeter of a Trapezoid?

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How to discover the perimeters of rectangles, squares, triangles and other polygons?

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Word Problems involving perimeter of polygons

Example:
A rectangle is three times as long equally it is wide. If the perimeter is 62 cm, what is the length?
The width of a rectangle is half dozen cm less than the length. If the perimeter is 52 cm, what is the width?

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Example:
The length of a rectangle is 7 cm more than than iv times its width. It perimeter is 124 cm. Find its dimensions.

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Example:
The width of a rectangle is 4 ft smaller than 3 times its length. Its perimeter is 144 ft. Detect its dimensions.

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Example:
A rectangle garden is two.5 times as long every bit it is wide. It has a perimeter of 1.vi anxiety. How long and wide is the garden?

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Example:
The perimeter of a triangle is 26 cm. The first side is 6 cm shorter than the second side. The tertiary side is 2 cm shorter than twice the length of the offset side. What is the length of each side?

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