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 124920: 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?
Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
A SQUARE GARDEN THAT IS X FT ON A SIDE HAS X^2FT OF AREA
IF YOU SHORTEN ONE SIDE BY 5 FT & EXTEND THE OTHER SIDE BY 5 FT YOU NOW HAVE AN AREA OF:
(X-5)(X+5)=X^2-25.
COMPARING THE ORIGINAL AREA OF X^2 FT WITH THE NEW AREA OF (X^2-25) YOU SEE THAT YOU LOST 25 FT^2.
PROOF IS IN SUBSTITUTING ANY NUMBER GREATER THAN 5 FOR X AND SOLVING THESE TWO EQUATIONS.