SOLUTION: The length of a rectangle is 7 meters more than its width. A diagonal of the rectangle measures 17 meters. Use algebraic methods to find the width and length of the rectangle.

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Question 945365: The length of a rectangle is 7 meters more than its width. A diagonal of the rectangle measures 17 meters. Use algebraic methods to find the width and length of the rectangle.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The length, width, and diagonal form a right triangle.
L%5E2%2BW%5E2=D%5E2
%28W%2B7%29%5E2%2BW%5E2=17%5E2
W%5E2%2B14W%2B49%2BW%5E2=289
2W%5E2%2B14W-240=0
W%5E2%2B7W-120=0
%28W%2B15%29%28W-8%29=0
Only positive solutions make sense here.
W-8=0
W=8
So then,
L=8%2B7
L=15