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The length of a rectangle is equal to three times its width. If the perimeter is equal to 96

feet, what is the length of the rectangle?

1 Answer

2 votes

Answer:the length of the rectangle is 36 feet

Explanation:

Let L represent the length of the rectangle.

Let W represent the width of the rectangle.

The length of a rectangle is equal to three times its width. This means that

L = 3W

The formula for determining the perimeter of a rectangle is expressed as

Perimeter = 2(L + W)

If the perimeter is equal to 96

feet, it means that

2(L + W) = 96

L + W = 96/2 = 48

Substituting L = 3W into L + W = 48, it becomes

3W + W = 48,

4W = 48

W = 48/4 = 12

L = 3W = 3 Ă— 12 = 36

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