document.write( "Question 644060: The side of one square is 2 cm longer than the side of a second square. If the combined area of the squares is 100 square cm, find the dimensions of each square. \n" ); document.write( "
Algebra.Com's Answer #404914 by ankor@dixie-net.com(22740)\"\" \"About 
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The side of one square is 2 cm longer than the side of a second square.
\n" ); document.write( " If the combined area of the squares is 100 square cm, find the dimensions
\n" ); document.write( " of each square.
\n" ); document.write( ":
\n" ); document.write( "The area of the two squares
\n" ); document.write( "x^2 + (x+2)^2 = 100
\n" ); document.write( "x^2 + x^2 + 4x + 4 = 100
\n" ); document.write( "2x^2 + 4x + 4 - 100 = 0
\n" ); document.write( "2x^2 + 4x - 96 = 0
\n" ); document.write( "Simplify, divide by 2
\n" ); document.write( "x^2 + 2x - 48 = 0
\n" ); document.write( "Factors to
\n" ); document.write( "(x+8)(x-6) = 0
\n" ); document.write( "the positive solution
\n" ); document.write( "x = 6
\n" ); document.write( ":
\n" ); document.write( "6 by 6 the small square
\n" ); document.write( "8 by 8 the large square
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\n" ); document.write( "Check: 36 + 64 = 100 \n" ); document.write( "
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