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

Jillian Vance

7 January, 12:42

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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Rodney Cunningham · 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