document.write( "Question 257215: Polynomials - difference of two squares\r
\n" ); document.write( "\n" ); document.write( "The sum of the areas of two squares is 234 square inches. Each side of the larger square is five times the length of a side of the smaller square. Find the length of a side of each square.
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Algebra.Com's Answer #189138 by ankor@dixie-net.com(22740)\"\" \"About 
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The sum of the areas of two squares is 234 square inches.
\n" ); document.write( " Each side of the larger square is five times the length of a side of the smaller square.
\n" ); document.write( " Find the length of a side of each square.
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\n" ); document.write( "Write an equation for each statement: (sides of two squares, x & y)
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\n" ); document.write( "\"The sum of the areas of two squares is 234 square inches.\"
\n" ); document.write( "x^2 + y^2 = 234
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\n" ); document.write( "\"Each side of the larger square is five times the length of a side of the smaller square.\"
\n" ); document.write( "x = 5y
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\n" ); document.write( "In the 1st equation, replace x with 5y
\n" ); document.write( "(5y)^2 + y^2 = 234
\n" ); document.write( "25y^2 + y^2 = 234
\n" ); document.write( "26y^2 = 234
\n" ); document.write( "y^2 = \"234%2F26\"
\n" ); document.write( "y^2 = 9
\n" ); document.write( "y = 3\" side of the smaller square
\n" ); document.write( "then
\n" ); document.write( "x = 5(3) = 15\" side of the larger square
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\n" ); document.write( "Check: 15^2 + 3^2 = 234\r
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