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The length of a rectangle is eight more than double the width. If the perimeter is 94 inches, find the dimensions. The width is inches. The length is inches.

User CryptoFool
by
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1 Answer

7 votes

Let L represent the length of the rectangle.

Let W represent the width of the rectangle.

The length of the rectangle is eight more than double the width. This would be expressed as

L = 2W + 8

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

Perimeter = 2(length + width)

Given that perimeter of the rectangle is 94 inches, it means that

2(L + W) = 94

Dividing both sides of teh equation by 2, it becomes

L + W = 94/2 = 47

L = 47 - W

By comparing this equation with the first one, we have

2W + 8 = 47 - W

2W + W = 47 - 8

3W = 39

W = 39/3

W = 13

L = 47 - W = 47 - 13

L = 34

Length = 34 inches

Width = 13 inches

User Elliott Slaughter
by
7.2k points
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