Area and perimeter in the coordinate plane I

Find the perimeter and area of polygons graphed on a coordinate plane.

Do this: Read the concept below, then try the quiz or activity.

Lesson 170 of 192
88%

Concept

Objective: Students will calculate the area and perimeter of polygons on a coordinate plane.

Estimated Time: 12 minutes

Standards:
HSG-GPE.B.7

To find the side lengths of a polygon on a coordinate plane, use the distance formula. For horizontal and vertical line segments, simply subtract the x- or y-coordinates. Then, use those side lengths to calculate area and perimeter.

Try it

A rectangle has vertices at (-2, 3), (4, 3), (4, -1), and (-2, -1). Find its area and perimeter.

Concept Check

A square has vertices at (0, 0), (0, 5), (5, 5), and (5, 0). What is its area?

Concept Check

What is the perimeter of a rectangle with vertices at (-1, 2), (-1, -3), (2, -3), and (2, 2)?

Common Misconception
Always verify your result in context instead of trusting a first pass.

Steps to find area and perimeter

These steps are out of order — can you fix them?

1.Calculate area by multiplying base times height
2.Calculate perimeter by adding all side lengths
3.Find the lengths of the horizontal and vertical sides
4.Plot the given vertices on the coordinate plane

Short Answer

Why is it easiest to find the distance of horizontal or vertical line segments?

Mastery Check

Pass this check with at least 80% to unlock completion.

Question 1

A square has vertices at (0, 0), (0, 5), (5, 5), and (5, 0). What is its area?

Question 2

What is the perimeter of a rectangle with vertices at (-1, 2), (-1, -3), (2, -3), and (2, 2)?

Pass the mastery check (80%+) to unlock completion.