IXL | Rectangles: relationship between perimeter and area word problems

A train ticket has a perimeter of 36 centimeters. Its area is 80 square centimeters. What are the dimensions of the ticket?

centimeters by centimeters

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question

A rectangular sticker has a perimeter of 16 centimeters. Its area is 12 square centimeters. What are the dimensions of the sticker?

centimeters by centimeters

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 12 square centimeters. Then find the perimeter for each guess.

Dimensions	Area	Perimeter
1 by 12	1 × 12 = 12	1 + 12 + 1 + 12 = 26
2 by 6	2 × 6 = 12	2 + 6 + 2 + 6 = 16

A rectangle that is 2 centimeters by 6 centimeters has an area of 12 square centimeters and a perimeter of 16 centimeters. The dimensions of the sticker are:

2 centimeters by 6 centimeters

Looking for more? Try these:

Lesson: Rectangles

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II.9Relationship between area and perimeter

II.10Area and perimeter: word problems

Lesson: Rectangles

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