SOLUTION: find the area of a rectangle with length 14 units more than the width, with diagonal 26 units.

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Question 891556: find the area of a rectangle with length 14 units more than the width, with diagonal 26 units.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The diagonal of a rectangle is
L%5E2%2BW%5E2=26%5E2
Also,
L=W%2B14
Substitute,
%28W%2B14%29%5E2%2BW%5E2=26%5E2
W%5E2%2B28W%2B196%2BW%5E2=676
2W%5E2%2B28W-480=0
W%5E2%2B14W-240=0
%28W-10%29%28W%2B24%29=0
Two solutions but a negative results doesn't make sense here.
W-10=0
W=10
Then,
L=10%2B14
L=24
So then,
A=L%2AW
A=24%2A10
A=240