document.write( "Question 168379: A rectangle is three times as long as it is wide. If the length and the width are each increased by 4, the area is increased by 176. Find the dimensions of the orginial rectangle. \n" ); document.write( "
Algebra.Com's Answer #124103 by checkley77(12844)![]() ![]() ![]() You can put this solution on YOUR website! L=3W \n" ); document.write( "3W*W=(L+4)(W+4)-176 \n" ); document.write( "3W^2=(3W+4)(W+4)-176 \n" ); document.write( "3W^2=3W^2+12W+4W+16-176 \n" ); document.write( "0=16W+16-176 \n" ); document.write( "16W=-16+176 \n" ); document.write( "16W=160 \n" ); document.write( "W=160/16 \n" ); document.write( "W=10 ANS. FOR THE ORIGINAL WIDTH . \n" ); document.write( "L=3*10=30 ANS. FOR THE ORIGINAL LENGTH. \n" ); document.write( "PROOF: \n" ); document.write( "10*30=(10+4)(30+4)-176 \n" ); document.write( "300=14*34-176 \n" ); document.write( "300=476-176 \n" ); document.write( "300=300 \n" ); document.write( " \n" ); document.write( " |