document.write( "Question 209856: I need help with this problem. The perimeter of a rectangle is 44 inches, and its area is 112 square inches. Find the length and width of the rectangle.
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Algebra.Com's Answer #158631 by checkley77(12844) ![]() You can put this solution on YOUR website! 2L+2W=44 \n" ); document.write( "LW=112 \n" ); document.write( "L=112/W \n" ); document.write( "2(112/W)+2W=44 \n" ); document.write( "(224/W)+2W=44 \n" ); document.write( "(224+2W*W)/W=44 \n" ); document.write( "224+2W^2=44*W \n" ); document.write( "224+2W^2=44W \n" ); document.write( "2W^2-44W+224=0 \n" ); document.write( "2(W^2-22W+112)=0 \n" ); document.write( "2(W-14)(W-8)=0 \n" ); document.write( "W-14=0 \n" ); document.write( "W=14 ANS. L=112/14=8 ANS. \n" ); document.write( "W-8=0 \n" ); document.write( "W=8 ANS. L=112/8=14 ANS. \n" ); document.write( "PROOF: \n" ); document.write( "8*14=112 \n" ); document.write( "2*14+2*8=44 \n" ); document.write( "28+16=44 \n" ); document.write( "44=44\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |