document.write( "Question 1043914: A rectangle was altered by decreasing its length by 15% and increasing its width by x %. If these alterations increased the area of the rectangle by 19%, what is the value of x? \n" ); document.write( "
Algebra.Com's Answer #659117 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! original rectangle had length l and width w \n" ); document.write( "area is lw \n" ); document.write( "(0.85)l * xw=0.85x lw, which = lw*(1.19) \n" ); document.write( "lw cancels \n" ); document.write( "0.85x=1.19 \n" ); document.write( "x=1.19/0.85 \n" ); document.write( "x=1.4 \n" ); document.write( "x is 40% \n" ); document.write( "--------------- \n" ); document.write( "example: \n" ); document.write( "rectangle is 25 x4=100 sq units \n" ); document.write( "length is decreased 15% to 21.25 \n" ); document.write( "width is increased 40% to 5.6 \n" ); document.write( "21.25*5.6=119, which is a 19% increase \n" ); document.write( " \n" ); document.write( " |