document.write( "Question 1001512: A square poster has sides measuring 2 feet less than the sides of a square sign if the difference between their areas is 12 square feet find the lengths of the sides of the poster and sign \n" ); document.write( "
Algebra.Com's Answer #618734 by ankor@dixie-net.com(22740)\"\" \"About 
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A square poster has sides measuring 2 feet less than the sides of a square sign
\n" ); document.write( " if the difference between their areas is 12 square feet find the lengths of the sides of the poster and sign
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\n" ); document.write( "let x = the side of the poster
\n" ); document.write( "then
\n" ); document.write( "(x+2) = the side of the sign
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\n" ); document.write( "Sign area - poster area = 12
\n" ); document.write( "(x+2)^2 - x^2 = 12
\n" ); document.write( "FOIL(x+2)(x+2)
\n" ); document.write( "x^2 + 2x + 2x + 4 - x^2 = 12
\n" ); document.write( "combine like terms
\n" ); document.write( "4x + 4 = 12
\n" ); document.write( "4x = 12 - 4
\n" ); document.write( "4x = 8
\n" ); document.write( "x = 8/4
\n" ); document.write( "x = 2 ft is the side of the poster, then 4 ft is the side of the sign
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\n" ); document.write( "Check this
\n" ); document.write( "4^2 - 2^2 =
\n" ); document.write( "16 - 4 = 12
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