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)\"\" \"About 
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( "
\n" );