SOLUTION: 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 poly

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Question 124924: 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?
Found 2 solutions by josmiceli, checkley71:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
A%5B1%5D+=+x%5E2
The polynomial will be
A%5B2%5D+=+%28x+-+5%29%28x+%2B+5%29
A%5B2%5D+=+x%5E2+-+25 new area
A%5B1%5D+-+A%5B2%5D+=+x%5E2+-+%28x%5E2+-+25%29
A%5B1%5D+-+A%5B2%5D+=+25
The old garden is 25 ft2 larger than the new garden

Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
THE CURRENT GARDEN HAS AN AREA OF X^2.
BY SHORTINING 1 SIDE BY 5 FT. & LENGTHENING THE OTHER BY 5 FT.
YOU NOW HAVE AN AREA OF:
(X-5)(X+5)=X^2-25.
COMPARING (X^2) WITH (X^2-25) WE SEE THAT THE CHANGED SQUARE GARDEN IS 25 FT^2 LESS.