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A rectangular bathroom mirror has a perimeter of 22 feet. Its area is 18 square feet. What are the dimensions of the mirror?

User JKS
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1 Answer

2 votes

Answer:

The dimensions of the mirror is 9 feet and 2 feet

Explanation:

Keep in mind that the area and perimeter of a rectangle is:

Area - length x width

Perimeter - 2 (l + w)

List the factors of 18 (the area of the mirror):

1, 2, 3, 6, 9, 18

POSSIBLE DIMENSIONS OF MIRROR:

1 ft and 18 ft

Area = 18 ft^2

Perimeter = 38 feet

2 ft and 9 ft

Area = 18 ft^2

Perimeter = 22 feet

3 ft and 6 ft

Perimeter = 18 feet

The rectangle with dimensions 2 feet and 9 feet corresponds with the area and perimeter of the mirror mentioned. So those are the correct dimensions.

Hope these helps!

User Heyzeuss
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