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

Question

Mathematics

Elizabeth Wise

27 January, 00:33

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

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Answers (1)

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Trent Alexander · Answer 1

P=2 (l) + 2 (w)

90=2 (4w-5) + 2 (w)

90 = (8w-10) + 2w

90=10w-10

10+90=10w-10+10

100=10w

w=10

90=2 (4[10]-5) + 2 (10)

90=2 (40-5) + 2 (10)

90=2 (35) + 20

90=70+20

90=90