IXL | Rectangles: relationship between perimeter and area word problems

A rectangular painting has a perimeter of 24 feet and an area of 32 square feet. What are the dimensions of the painting?

feet by feet

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Learn with an example

A rectangular living room has a perimeter of 26 meters. Its area is 30 square meters. What are the dimensions of the living room?

meters by meters

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

Think of dimensions that will give an area of 30 square meters. Then find the perimeter for each guess.

A rectangle that is 3 meters by 10 meters has an area of 30 square meters and a perimeter of 26 meters. The dimensions of the living room are:

3 meters by 10 meters

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