document.write( "Question 173517: if the length of a rectangle is increased by 10% and the area is unchanged , then by what percentage must the width be decreased ? \n" ); document.write( "
Algebra.Com's Answer #128402 by ankor@dixie-net.com(22740)\"\" \"About 
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if the length of a rectangle is increased by 10% and the area is unchanged , then by what percentage must the width be decreased ?
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\n" ); document.write( "Let L & W be the original length and width
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\n" ); document.write( "1.1L = new length
\n" ); document.write( "xW = new width
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\n" ); document.write( "New area = old area
\n" ); document.write( "1.1L * xW = L * W
\n" ); document.write( "Divide both sides by L
\n" ); document.write( "1.1 * xW = W
\n" ); document.write( "Divide both sides by 1.1
\n" ); document.write( "xW = \"W%2F1.1\"
\n" ); document.write( "Divide both sides by W
\n" ); document.write( "x = \"1%2F1.1\"
\n" ); document.write( "x ~ .91, original width reduced by 9% \n" ); document.write( "
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