SOLUTION: The length of a rectangle is 7 m more than the width. The length of a diagonal is 13 m. Find the length.
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Question 204754: The length of a rectangle is 7 m more than the width. The length of a diagonal is 13 m. Find the length.
Answer by alicealc(293) (Show Source): You can put this solution on YOUR website!
rectangle's length = L
rectangle's width = W
rectangle's diagonal = D
L = 7 + W
D = 13
use the Phytagoras formula:
divide each side by 2
factorize it:
0 = (W + 12)(W - 5)
W + 12 = 0 --> W = -12
or
W - 5 = 0 --> W = 5
W = 5 is used because the width of a rectangle must not be a negative value
L = 7 + W = 7 + 5 = 12
so, the length of the rectangle is 12 m
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