A rectangle has an area of 156 square inches and a perimeter of 50 in what are the width and the length of the rectangle

Question

Demarion

Mathematics

3 November, 07:57

A rectangle has an area of 156 square inches and a perimeter of 50 in what are the width and the length of the rectangle

+1

Answers (2)

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Rodney Leach · Answer 1

2l + 2w = 50

lw = 156

l = 156/w

so substituting we have:-

2 (156/w) + 2w = 50

312 + 2w^2 = 50w

2w^2 - 50w + 312 = 0

w^2 - 25w + 156 = 0

(w - 13) (w - 12) = 0

So w = 12 or 13

and L = 50 - 24 / 2 = 13

answer is length 13 and width is 12

Salvador Hoffman · Answer 2

W = 13 inches

L = 12 inches

P = 2 (l+w) and L=P/2 - w=50/2 - 13 = 12