chikenlittle chikenlittle

24-02-2017
Mathematics

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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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wolf1728 wolf1728

24-02-2017

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

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