The perimeter of a rectangular wooden deck is 90 feet. The deck's length is, I, is 5 less than 4 times it's width, w. Which system of linear equations can be used to determine the dimensions, in feet, of the wooden deck?

Question

Mathematics

Wendy Gregory

11 June, 00:47

The perimeter of a rectangular wooden deck is 90 feet. The deck's length is, I, is 5 less than 4 times it's width, w. Which system of linear equations can be used to determine the dimensions, in feet, of the wooden deck?

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Answers (1)

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Esteban Marshall · Answer 1

Answer: The system of linear equations are

L + W = 45

L = 4W - 5

Step-by-step explanation:

Let L represent the length of the deck.

Let W represent the width of the deck.

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

Perimeter = 2 (length + width)

The perimeter of a rectangular wooden deck is 90 feet. This would be expressed as

90 = 2 (L + W)

Dividing through by 2

L + W = 45

The deck's length, L is 5 less than 4 times its width, W. This is expressed as

L = 4W - 5