document.write( "Question 644271: The sum of the perimeter of two squares is 64cm. and the sum of their areas is 130sq.cm. How long is a side of each square? \n" ); document.write( "
Algebra.Com's Answer #405054 by ankor@dixie-net.com(22740)\"\" \"About 
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Let x = the side of one square
\n" ); document.write( "Let y = the side of the other square
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\n" ); document.write( "The sum of the perimeter of two squares is 64cm.
\n" ); document.write( "4x + 4y = 64
\n" ); document.write( "simplify, divide by 4
\n" ); document.write( "x + y = 16
\n" ); document.write( "y = (16-x)
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\n" ); document.write( "and the sum of their areas is 130sq.cm.
\n" ); document.write( "x^2 + y^2 = 130
\n" ); document.write( "replace y with (16-x)
\n" ); document.write( "x^2 + (16-x)^2 = 130
\n" ); document.write( "FOIL (16-x)(16-x)
\n" ); document.write( "x^2 + 256 - 32x + x^2 = 130
\n" ); document.write( "x^2 + x^2 - 32x + 256 - 130 = 0
\n" ); document.write( "2x^2 - 32x + 126 = 0
\n" ); document.write( "simplify, divide by 2
\n" ); document.write( "x^2 - 16x + 63 = 0
\n" ); document.write( "Factors to
\n" ); document.write( "(x-7)(x-9) = 0
\n" ); document.write( "Two solutions
\n" ); document.write( "x = 7, then y = 9
\n" ); document.write( "x = 9, then y = 7
\n" ); document.write( ":
\n" ); document.write( "The sides of the two squares are 7 & 9
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\n" ); document.write( "Check: 7^2 + 9^2 = 130 and 4(7) + 4(9) = 64\r
\n" ); document.write( "\n" ); document.write( " How long is a side of each square? \n" ); document.write( "
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