Review the basics of perimeter and try some practice problems.

What is perimeter?

Perimeter is the distance around the outside of a two-dimensional shape.
The perimeter of the shapes below is shown in start color blueD, b, l, u, e, end color blueD.
Want to learn more about the concept of perimeter? Check out this video.

How do we calculate the perimeter of a shape?

To find the perimeter of a shape, we add all of the shape's side lengths.

Example 1:

What is the perimeter of the trapezoid?
We can find the perimeter by adding all of the side lengths.
P, e, r, i, m, e, t, e, r, equals, start color blueD, 18, end color blueD, plus, start color greenD, 8, end color greenD, plus, start color purpleD, 10, end color purpleD, plus, start color maroonD, 10, end color maroonD
P, e, r, i, m, e, t, e, r, equals, 46, space, m

Example 2:

What is the perimeter of the regular pentagon?
We can find the perimeter by adding all of the side lengths.
All sides of a regular pentagon are the same length.
P, e, r, i, m, e, t, e, r, equals, start color greenD, 9, end color greenD, plus, start color greenD, 9, end color greenD, plus, start color greenD, 9, end color greenD, plus, start color greenD, 9, end color greenD, plus, start color greenD, 9, end color greenD
P, e, r, i, m, e, t, e, r, equals, 45, space, c, m
Want to learn more about calculating perimeter? Check out this video.

Practice set 1: Calculate perimeter

Problem 1A
What is the perimeter of the triangle?
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
  • an exact decimal, like 0, point, 75
  • a multiple of pi, like 12, space, p, i or 2, slash, 3, space, p, i
centimeters

Want to try more problems like this? Check out these exercises:
Find perimeter when given side lengths
Find perimeter by counting unit squares

Practice set 2: Challenge items

Problem 2A
The perimeter of the figure is 50, space, c, m.
What is the length of the missing side?
  • Your answer should be
  • an integer, like 6
  • an exact decimal, like 0, point, 75
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
c, m

Want to try more problems like this? Check out these exercises:
Find a missing side length when given perimeter
Perimeter word problems