document.write( "Question 49004: The length of a rectangle is eight times its width. If the length was decreased by 10 meters and the width was decreased by 2 meters, the area would be decreased by 162 square meters. Find the original dimensions. Please explain. \n" ); document.write( "
Algebra.Com's Answer #32485 by Paul(988)\"\" \"About 
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Length = 8x
\n" ); document.write( "Width = x
\n" ); document.write( "Decreased length = 8x-10
\n" ); document.write( "Decreased width = x-2
\n" ); document.write( "Original area = (8x)(x)=\"8x%5E2\"
\n" ); document.write( "Decreased area = \"8x%5E2-162\"
\n" ); document.write( "EQUATION:
\n" ); document.write( "\"%288x-10%29%28x-2%29=8x%5E2-162\"
\n" ); document.write( "\"8x%5E2-16x-10x%2B20=8x%5E2-162\"
\n" ); document.write( "-26x=-182
\n" ); document.write( "x=7
\n" ); document.write( "8(7)=56
\n" ); document.write( "Hence, the width is 7m and the length is 56m.
\n" ); document.write( "Paul.
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