document.write( "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? \n" ); document.write( "
Algebra.Com's Answer #91597 by checkley71(8403)![]() ![]() ![]() You can put this solution on YOUR website! A SQUARE GARDEN THAT IS X FT ON A SIDE HAS X^2FT OF AREA \n" ); document.write( "IF YOU SHORTEN ONE SIDE BY 5 FT & EXTEND THE OTHER SIDE BY 5 FT YOU NOW HAVE AN AREA OF: \n" ); document.write( "(X-5)(X+5)=X^2-25. \n" ); document.write( "COMPARING THE ORIGINAL AREA OF X^2 FT WITH THE NEW AREA OF (X^2-25) YOU SEE THAT YOU LOST 25 FT^2. \n" ); document.write( "PROOF IS IN SUBSTITUTING ANY NUMBER GREATER THAN 5 FOR X AND SOLVING THESE TWO EQUATIONS. \n" ); document.write( " |