the perimiter of a wooden fence is 90 ft the length is 5ft less than 4 times its width, what is the width of the fence?

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the perimiter of a wooden fence is 90 ft the length is 5ft less than 4 times its width, what is the width of the fence?

Let L be the length of the fence

Let W be the width of the fence

Perimeter, P = 2(L + W)

90 = 2(L + W)

L + W = 45

L = 4W - 5     (length is 5 less than 4 times the width)

Substituting for L = 4W - 5 into the other eqn above,

4W - 5 + W = 45

5W = 50

W = 10

 

by Level 11 User (81.5k points)

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