document.write( "Question 841232: The length of a rectangle is three times it's width. A new rectangle is created by decreasing the length of the original rectangle by half. By what factor must the original width be multiplied, if the area remains unchanged? \r
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Algebra.Com's Answer #506721 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! he length of a rectangle is three times it's width. \n" ); document.write( "L = 3W \n" ); document.write( " A new rectangle is created by decreasing the length of the original rectangle by half. \n" ); document.write( " By what factor must the original width be multiplied, if the area remains unchanged? \n" ); document.write( "Let the factor to accomplish this = x \n" ); document.write( ".5L * xW = L * W \n" ); document.write( "Divide both sides by L \n" ); document.write( ".5xW = W \n" ); document.write( "x = 2 is the factor to accomplish this (double the width) \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "See if that works, assume L=30; W=10 originally, A = 300 \n" ); document.write( "New rectangle L=15; W=20; A = 300 \n" ); document.write( " |