document.write( "Question 174172: A rectangle is twice as long as it is wide. If both its dimensions are increasd by 4m, its area is increased by 88m^2. Make a sketch and find the dimensions of the original rectangle. \n" ); document.write( "
Algebra.Com's Answer #129110 by checkley77(12844)![]() ![]() ![]() You can put this solution on YOUR website! Can't sketch. \n" ); document.write( "AREA=LW \n" ); document.write( "L=2W \n" ); document.write( "(L+4)(W+4)-LW=88 \n" ); document.write( "(2W+4)(W+4)-2W*W=88 \n" ); document.write( "2W^2+12W-2W^2+16-88=0 \n" ); document.write( "12W-72=0 \n" ); document.write( "12W=72 \n" ); document.write( "W=72/12 \n" ); document.write( "W=6m. ANS. FOR THE WIDTH. \n" ); document.write( "L=2*6=12m. ANS. FOR THE LENGTH. \n" ); document.write( "PROOF: \n" ); document.write( "(12+4)(6+4)-12*6=88 \n" ); document.write( "16*10=88+72 \n" ); document.write( "160=160 \n" ); document.write( "ORIGINAL DIMENSIONS ARE L=12 W=6. \n" ); document.write( " |