document.write( "Question 372581: the length of a rectangle is increased by 80%. By what percent must its width be decreased to keep the same area? \n" ); document.write( "
Algebra.Com's Answer #265526 by ankor@dixie-net.com(22740)\"\" \"About 
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the length of a rectangle is increased by 80%. By what percent must its width be decreased to keep the same area?
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\n" ); document.write( "Assume the original value for Length is 10. let W = the width
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\n" ); document.write( "Use 1.8 for an 80% increase in the length
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\n" ); document.write( "Let x = decimal equiv of percent decrease in width required for equal areas
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\n" ); document.write( "Original area = new area
\n" ); document.write( "10*W = 1.8(10)*(1-x)W
\n" ); document.write( "10W = 18(1-x)W
\n" ); document.write( "Divide both sides by W
\n" ); document.write( "10 = 18(1-x)
\n" ); document.write( "10 = 18 - 18x
\n" ); document.write( "18x = 18 - 10
\n" ); document.write( "18x = 8
\n" ); document.write( "x = \"8%2F18\"
\n" ); document.write( "x = .4444 = 44.44% decrease in the width required
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