SOLUTION: the diagonal of a rectangle is 60 inches long. if the length of the rectangle is 12 inches greater than the width, find the dimensions.

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Question 259568: the diagonal of a rectangle is 60 inches long. if the length of the rectangle is 12 inches greater than the width, find the dimensions.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1.L%5E2%2BW%5E2=60%5E2
L=12%2BW
L%5E2=144%2B24W%2BW%5E2
Substitute into eq. 1,
1.L%5E2%2BW%5E2=3600
144%2B24W%2BW%5E2%2BW%5E2=3600
2W%5E2%2B24W-3456=0
W%5E2%2B12W-1728=0
%28W-36%29%28W%2B48%29=0
W-36=0
W=36
Then,
L=12%2BW=48