document.write( "Question 956760: If the area between 2 squares is 17 inches and the sum of the perimeters of the 2 squares is 68 inches. How many inches long is a side of the larger square? \n" ); document.write( "
Algebra.Com's Answer #584689 by macston(5194)\"\" \"About 
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\n" ); document.write( "If the difference in area between 2 squares is 17 square inches and the sum of the perimeters of the 2 squares is 68 inches, how long is a side of the larger square?
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\n" ); document.write( "\"a%5BS%5D\"=side of small square; \"a%5BL%5D\"=side of large square; \"P%5BB%5D\"= Sum of perimeter of both squares
\n" ); document.write( "\"4a%5BS%5D%2B4a%5BL%5D=68in\"
\n" ); document.write( "\"4%28a%5BL%5D%2Ba%5BS%5D%29=68in\" Divide each side by 4.
\n" ); document.write( "\"a%5BL%5D%2Ba%5BS%5D=17in\" Subtract \"a%5BS%5D\" from each side.
\n" ); document.write( "\"a%5BL%5D=17in-a%5BS%5D\" Use this to substitute.
\n" ); document.write( "\"a%5BL%5D%5E2-a%5BS%5D%5E2=17in%5E2\" Substitute for \"a%5BL%5D\".
\n" ); document.write( "\"%2817in-a%5BS%5D%29%5E2-a%5BS%5D%5E2=17in%5E2\"
\n" ); document.write( "\"a%5BS%5D%5E2-34a%5BS%5D%2B289-a%5BS%5D%5E2=17in%5E2\" Subtract 289 from each side.
\n" ); document.write( "\"-34a%5BS%5D=-272\" Divide each side by -34.
\n" ); document.write( "\"a%5BS%5D=8\" The side of the shorter square is 8 inches.
\n" ); document.write( "\"4a%5BS%5D%2B4a%5BL%5D=68in\"
\n" ); document.write( "\"4%288in%29%2B4a%5BL%5D=68in\"
\n" ); document.write( "\"32in%2B4a%5BL%5D=68in+Subtract+32in+from+each+side.%0D%0A%7B%7B%7B4a%5BL%5D=36in\" Divide each side by 4.
\n" ); document.write( "\"a%5BL%5D=9in\" ANSWER: The side of the larger square is 9 inches
\n" ); document.write( "CHECK:
\n" ); document.write( "Difference in area is 17 square inches.
\n" ); document.write( "\"4a%5BL%5D%5E2-4a%5BS%5D%5E2=17in%5E2\"
\n" ); document.write( "\"4%289%5E2in%5E2%29-4%288%5E2in%5E2%29=17in%5E2\"
\n" ); document.write( "\"81in%5E2-64in%5E2=17in%5E2\"
\n" ); document.write( "\"17in%5E2=17in%5E2\"\r
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