document.write( "Question 216110: Please help me: A rectangular garden has a perimeter of 140m and an area of 1200m^2. set up a quadratic equation and solve it agebraically to find the dimensions of the garden. \n" ); document.write( "
Algebra.Com's Answer #163271 by checkley77(12844)![]() ![]() ![]() You can put this solution on YOUR website! 2L+2W=140 \n" ); document.write( "LW=1,200 \n" ); document.write( "L=1,200/W \n" ); document.write( "2(1,200/W)+2W=140 \n" ); document.write( "2,400/W+2W=140 \n" ); document.write( "(2,400+2W*W)/W=140 \n" ); document.write( "2,400+2W^2=140W \n" ); document.write( "2W^2-140W+2,400=0 \n" ); document.write( "2(W^2-70W+1,200)=0 \n" ); document.write( "2(W-30)(W-40)=0 \n" ); document.write( "W-30=0 \n" ); document.write( "W=30 L=40 ANS. \n" ); document.write( "W-40=0 \n" ); document.write( "W=40 L=30 ANS. \n" ); document.write( "PROOF: \n" ); document.write( "30*40=1,200 \n" ); document.write( "2*30+2*40=140 \n" ); document.write( "60+80=140 \n" ); document.write( "140=140\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |