SOLUTION: A rectangular garden is 15 ft longer than it is wide. Its area is 7600 ft^2. What are its dimensions?

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Question 204197: A rectangular garden is 15 ft longer than it is wide. Its area is 7600 ft^2. What are its dimensions?
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Starting with the formula for the area of a rectangle:
A+=+L%2AW
In this problem:
L+=+W%2B15 "A rectangular garden is 15 feet longer than it is wide." and:
A+=+7600sq.ft. So...
7600+=+L%2AW Substitute L = W+15
7600+=+%28W%2B15%29%2A%28W%29
7600+=+W%5E2%2B15W Subtract 7600 from both sides.
W%5E2%2B15W-7600+=+0 Factor this trinomial.
%28W-80%29%28W%2B95%29+=+0 Apply the zero product rule.
W-80+=+0 or W%2B95+=+0 so that...
W+=+80 or cross%28W+=+-95%29 Discard the negative solution as the width is a positive quantity.
W+=+80 and...
L+=+W%2B15
L+=+95
The length is 95 feet and the width is 80 feet.