IXL | Area and perimeter: word problems | 8th grade math

or

A square calendar has a perimeter of 68 inches. How long is each side of the calendar?

inches

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or

Learn with an example

question

The perimeter of a rectangular concrete patio is 32 meters. The area is 60 square meters. What are the dimensions of the patio?

meters by meters

key idea

Area of a rectangle = length × width
Perimeter of a rectangle = length + width + length + width

solution

Think of dimensions that will give an area of 60 square meters. Then find the perimeter for each guess.

Dimensions	Area	Perimeter
1 by 60	1 × 60 = 60	1 + 60 + 1 + 60 = 122
2 by 30	2 × 30 = 60	2 + 30 + 2 + 30 = 64
3 by 20	3 × 20 = 60	3 + 20 + 3 + 20 = 46
4 by 15	4 × 15 = 60	4 + 15 + 4 + 15 = 38
5 by 12	5 × 12 = 60	5 + 12 + 5 + 12 = 34
6 by 10	6 × 10 = 60	6 + 10 + 6 + 10 = 32

A rectangle that is 6 meters by 10 meters has an area of 60 square meters and a perimeter of 32 meters. The dimensions of the patio are:

6 meters by 10 meters

Looking for more? Try these:

Lesson: Area of rectangles

Lesson: Perimeter

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Work it out

Not feeling ready yet? These can help:

GG.2Area of rectangles and squares

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Lesson: Area of rectangles

Lesson: Perimeter