document.write( "Question 329653: Two rectangles have the same area of 480 cm^2.the diffrence between their lengths is 10cm and the diffrence between their widths is 4cm . calculate the dimension of the rectangles \n" ); document.write( "
Algebra.Com's Answer #236307 by stanbon(75887)\"\" \"About 
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Two rectangles have the same area of 480 cm^2.the diffrence between their lengths is 10cm and the difference between their widths is 4cm . calculate the dimensions of the rectangles
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\n" ); document.write( "Dimensions of 1st rectangle: L,W
\n" ); document.write( "Dimensions of 2nd rectangle: L+10; W+4
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\n" ); document.write( "LW = 480
\n" ); document.write( "(L-10)(W+4) = 480
\n" ); document.write( "---
\n" ); document.write( "LW = LW+4L - 10W - 40
\n" ); document.write( "4L = 10W +40
\n" ); document.write( "2L = 5W + 20
\n" ); document.write( "L = (5/2)W + 10
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\n" ); document.write( "But LW = 480
\n" ); document.write( "So, W = 480/L
\n" ); document.write( "---
\n" ); document.write( "L = (5/2)(480/L)+10
\n" ); document.write( "L = 1200/L + 10
\n" ); document.write( "L^2 - 10L - 1200 = 0
\n" ); document.write( "(L-40)(L+30) = 0
\n" ); document.write( "Positive solution:
\n" ); document.write( "L = 40 cm (length)
\n" ); document.write( "Then 480/L = W = 120 cm (width)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "
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