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Darya [45]
3 years ago
5

A rectangle has a perimeter of 52 inches. The length of the rectangle is 4 inches more than its width. What is the length of the

rectangle?
Mathematics
1 answer:
erica [24]3 years ago
8 0

Answer: The length of the rectangle is 15 inches

Step-by-step explanation:

Let L represent the length of the rectangle.

Let W represent the width of the rectangle.

The perimeter of a rectangle is expressed as 2 length + 2 width

Perimeter = 2(L + W)

The rectangle has a perimeter of 52 inches. It means that

2(L + W) = 52

L + W = 52/2 = 26 - - - - - - - 1

The length of the rectangle is 4 inches more than its width. It means that

L = W + 4

Substituting L = W + 4 into equation 1, it becomes

W + 4 + W = 26

2W = 26 - 4 = 22

W = 22/2 = 11

L = W + 4 = 11 + 4 = 15

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