The length of a rectangle is 3 inches more than its width. if the length of the diagonal is 15 inches, find the dimensions of the rectangle

Question

Mathematics

Serena

24 August, 18:46

The length of a rectangle is 3 inches more than its width. if the length of the diagonal is 15 inches, find the dimensions of the rectangle

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Answers (1)

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Elliot Garrett · Answer 1

L = W + 3

L^2 + W^2 = 15^2

L^2 + W^2 = 225

L^2 + W^2 = 225

(W+3) ^2 + W^2 = 225

W^2 + 6W + 9 + W^2 = 225

2 W^2 + 6W = 216

2W^2 + 6W - 216 = 0

W = 9

L = 12