SOLUTION: D- 85: Rose's garden is a square with sides of length x feet. Next spring she plans to make it rectangular by lengthening one side 5 feet and shortening the other side by 5 feet. W

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: D- 85: Rose's garden is a square with sides of length x feet. Next spring she plans to make it rectangular by lengthening one side 5 feet and shortening the other side by 5 feet. W      Log On

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Question 152829: D- 85: Rose's garden is a square with sides of length x feet. Next spring she plans to make it rectangular by lengthening one side 5 feet and shortening the other side by 5 feet. What polynomial represents the new area? By how much will the area of the new garden differ from that of the old garden?
I could not locate the ISBN # however the autor is Mark Dugopolski Elementary and Intermediate Algebra Second Edition
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
The area of the old square garden is:
A%5Bo%5D+=+x%5E2
If you add 5 feet to one side, you get x+5.
If you subtract 5 feet from the other side, you get x-5
The area of the new garden is:
A%5Bn%5D+=+%28x%2B5%29%28x-5%29
A%5Bn%5D+=+x%5E2-25
The area of the new garden is 25 sq.ft. less than that of the old garden.