document.write( "Question 301441: What would be the dimension of a rectangle if the area is 12 and the perimeter is 16? \n" ); document.write( "
Algebra.Com's Answer #216187 by checkley77(12844)![]() ![]() ![]() You can put this solution on YOUR website! 12=LW OR L=12/W FOR THE AREA. \n" ); document.write( "2L+2W=16 FOR THE PERIMETER. \n" ); document.write( "2(12/W)+2W=16 \n" ); document.write( "24/W+2W=16 \n" ); document.write( "(24+2W*W)/W=16 \n" ); document.write( "(24+2W^2)/W=16 \n" ); document.write( "24+2W^2=16W \n" ); document.write( "2W^2-16W+24=0 \n" ); document.write( "2(W^2-8W+12)=0 \n" ); document.write( "2(W-6)(W-2)=0 \n" ); document.write( "W-6=0 \n" ); document.write( "W=6 ans. L=12/6=2 ANS. \n" ); document.write( "W-2=0 \n" ); document.write( "W=2 ANS. L=12/2=6 ANS. \n" ); document.write( "PROOF: \n" ); document.write( "2*6=12 \n" ); document.write( "12=12 \n" ); document.write( "2*2+2*6=16 \n" ); document.write( "4+12=16 \n" ); document.write( "16=16 \n" ); document.write( " \n" ); document.write( " |