document.write( "Question 167025: The difference of the areas of two squares is 75 square feet. Each side of the larger square is twice the length of the smaller square. Find the length of a side of each square. \n" ); document.write( "
Algebra.Com's Answer #123031 by ankor@dixie-net.com(22740)\"\" \"About 
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The difference of the areas of two squares is 75 square feet. Each side of the
\n" ); document.write( " larger square is twice the length of the smaller square. Find the length of a
\n" ); document.write( " side of each square.
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\n" ); document.write( "Let x = length of the side of the smaller square
\n" ); document.write( "then
\n" ); document.write( "2x = length of the side of the larger square
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\n" ); document.write( "Large sq area - small sq area = 75 sq/ft
\n" ); document.write( "(2x)^2 - x^2 = 75
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\n" ); document.write( "4x^2 - x^2 = 75
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\n" ); document.write( "3x^2 = 75
\n" ); document.write( "x^2 = \"75%2F3\"
\n" ); document.write( "x^2 = 25
\n" ); document.write( "x = 5 ft side of the small square
\n" ); document.write( "and
\n" ); document.write( "10 ft side of the large square
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\n" ); document.write( "Check solution
\n" ); document.write( "10^2 - 5^2 = 75
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