document.write( "Question 340831: A diagonal drawn through square A is half as long as a diagonal drawn through square B. The area of square B is how many times the area of square A?\r
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Algebra.Com's Answer #244270 by ankor@dixie-net.com(22740)\"\" \"About 
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A diagonal drawn through square A is half as long as a diagonal drawn through square B.
\n" ); document.write( "The area of square B is how many times the area of square A?
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\n" ); document.write( "Establish the relationship between the diagonal and the area
\n" ); document.write( "Let x = the diagonal of square A
\n" ); document.write( "Let s = the side of square A
\n" ); document.write( " s^2 + s^2 = x^2
\n" ); document.write( "\"sqrt%282s%5E2%29\" = x
\n" ); document.write( "\"s%2Asqrt%282%29\" = x
\n" ); document.write( "s = \"x%2Fsqrt%282%29\"
\n" ); document.write( "Area = s^2
\n" ); document.write( "A = \"%28x%2Fsqrt%282%29%29%5E2\"
\n" ); document.write( "A = \"x%5E2%2F2\" the area of A
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\n" ); document.write( "Let 2x = diagonal of B
\n" ); document.write( "Replace x with 2x in the above equation
\n" ); document.write( "A = \"%282x%29%5E2%2F2\"
\n" ); document.write( "A = \"%284x%5E2%29%2F2\"
\n" ); document.write( "A = \"%282x%5E2%29\" is the area of B
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\n" ); document.write( "Divide Area of B by the area of A
\n" ); document.write( "\"%282x%5E2%29%2F%28x%5E2%2F2%29\"
\n" ); document.write( "2x^2 * \"2%2Fx%5E2\"
\n" ); document.write( "Cancel x^2
\n" ); document.write( "2 * 2 = 4 times area of A is the area of B
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