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I have a rectangle 9.75\" X 6.5\" whose area I need to increase by 11%.
\n" ); document.write( " How do I figure this increase such that I will end up with the measurements for the sides of the new larger rectangle?
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\n" ); document.write( "Find the area you have now: 9.75 * 6.5 = 63.375
\n" ); document.write( "Find the increased area: 1.11 * 63.75 = 70.34625
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\n" ); document.write( "Increase each dimension by x
\n" ); document.write( "(x + 9.75)*(x + 6.5) = 70.34625
\n" ); document.write( "FOIL
\n" ); document.write( "x^2 + 6.5x + 9.75x + 63.375 = 70.34625
\n" ); document.write( "x^2 + 16.25x + 63.75 - 70.34625 = 0
\n" ); document.write( ":
\n" ); document.write( "A quadratic equation
\n" ); document.write( "x^2 + 16.25x - 6.97125 = 0
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\n" ); document.write( "Solve for x using the quadratic formula:
\n" ); document.write( "x = .41823 ~ .42 inches, add to each dimension (10.17 by 6.92)
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\n" ); document.write( ":
\n" ); document.write( "Check this: 10.17 * 6.92 ~ 70.4
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