document.write( "Question 154023: Swimming pool design. An architect has designed a motel pool within a rectangular area that is fenced on three sides. If she uses 60 yards of fencing to enclose an area of 352 square yards, then what are the dimensions of L and W? Assume L is greater than W. \n" ); document.write( "
Algebra.Com's Answer #113375 by checkley77(12844)![]() ![]() ![]() You can put this solution on YOUR website! L*W=352 OR L=352/W \n" ); document.write( "L+2W=60 \n" ); document.write( "352/W+2W=60 \n" ); document.write( "(352+2W*W)/W=60 \n" ); document.write( "(352+2W^2)=60W \n" ); document.write( "2W^2-60W+352=0 \n" ); document.write( "2(W^2-30W+176)=0 \n" ); document.write( "2(W-22)(W-8)=0 \n" ); document.write( "W-8=0 \n" ); document.write( "W=8 FOR THE WIDTH. \n" ); document.write( "L+2*8=60 \n" ); document.write( "L+16=60 \n" ); document.write( "L=60-16 \n" ); document.write( "L=44 FOR THE LENGTH. \n" ); document.write( "PROOF \n" ); document.write( "44*8=352 \n" ); document.write( "352=352\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |