document.write( "Question 403311: the length of each side of a square is 5 in more than the length of each side of a smaller square. the difference of the areas of the squares is 95in squared. find the lengths of the sides of the two squares \n" ); document.write( "
Algebra.Com's Answer #285308 by ankor@dixie-net.com(22740)\"\" \"About 
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the length of each side of a square is 5 in more than the length of each side of a smaller square.
\n" ); document.write( "the difference of the areas of the squares is 95in squared.
\n" ); document.write( " find the lengths of the sides of the two squares
\n" ); document.write( ":
\n" ); document.write( "Let x = side of the smaller square
\n" ); document.write( "then
\n" ); document.write( "x^2 = area of the smaller square
\n" ); document.write( "and
\n" ); document.write( "(x+5) = side of the larger square
\n" ); document.write( "then
\n" ); document.write( "(x+5)^2 = area of the larger square
\n" ); document.write( "FOIL this, subtract the smaller square area
\n" ); document.write( "x^2 + 10x + 25 - x^2 = 95
\n" ); document.write( "x^2 - x^2 + 10x = 95 - 25
\n" ); document.write( "10x = 70
\n" ); document.write( "x = 7 inches is the side of the smaller square
\n" ); document.write( "then
\n" ); document.write( "7 + 5 = 12 inches is the side of the larger square
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check this by finding the areas
\n" ); document.write( "12^2 - 7^2
\n" ); document.write( "144 - 49 = 95; confirms our solutions \n" ); document.write( "
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