document.write( "Question 237051: a piece of wire is 52 feet long. it is cut into two pieces, each of which is then bent to form a square. the total are of the square is 97 square feet. how much longer is a side of the larger square then a side of the smaller square? \n" ); document.write( "
Algebra.Com's Answer #174391 by ankor@dixie-net.com(22740)\"\" \"About 
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piece of wire is 52 feet long. it is cut into two pieces, each of which is then bent to form a square.
\n" ); document.write( "the total area of the square is 97 square feet.
\n" ); document.write( " how much longer is a side of the larger square then a side of the smaller square?
\n" ); document.write( ":
\n" ); document.write( "Let x = the side of the large square
\n" ); document.write( "Let y = the side of the small square
\n" ); document.write( ":
\n" ); document.write( "4x + 4y = 52
\n" ); document.write( "Divide by 4
\n" ); document.write( "x + y = 13
\n" ); document.write( "y = (13-x)
\n" ); document.write( "and
\n" ); document.write( "x^2 + y^2 = 97
\n" ); document.write( "Replace y with (13-x)
\n" ); document.write( "x^2 + (13-x)^2 = 97
\n" ); document.write( "FOIL
\n" ); document.write( "x^2 + 169 - 26x + x^2 = 97
\n" ); document.write( "Arrange as a quadratic equation
\n" ); document.write( "x^2 + x^2 - 26x + 169 - 97 = 0
\n" ); document.write( "2x^2 - 26x + 72 = 0
\n" ); document.write( "Simplify, divide by 2
\n" ); document.write( "x^2 - 13x + 36
\n" ); document.write( "Factors to:
\n" ); document.write( "(x-9)(x-4) = 0
\n" ); document.write( "Two solutions
\n" ); document.write( "x = 4
\n" ); document.write( "x = 9' The larger side, then 4' is the shorter side
\n" ); document.write( ":
\n" ); document.write( "The longer side is 5' longer than the shorter side
\n" ); document.write( ";
\n" ); document.write( ":
\n" ); document.write( "Check this
\n" ); document.write( "9^2 + 4^2 = 97
\n" ); document.write( "and
\n" ); document.write( "4(9) + 4(4) = 52 \n" ); document.write( "
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