document.write( "Question 25853: A rancher with 800 feet of fencing wants to enclose a rectangular area and then divide it into three pens with fencing parallel to one side of the rectangle. What is the largest possible total area of the three pens?
\n" ); document.write( "i'm not allowed to use trial and error, only algebra. I've tried like 6 different equations where x=y or x=3y, i just can't figure it out. Please help! \n" ); document.write( "
Algebra.Com's Answer #13930 by venugopalramana(3286)\"\" \"About 
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A rancher with 800 feet of fencing wants to enclose a rectangular area and then divide it into three pens with fencing parallel to one side of the rectangle. What is the largest possible total area of the three pens?
\n" ); document.write( "i'm not allowed to use trial and error, only algebra. I've tried like 6 different equations where x=y or x=3y, i just can't figure it out. Please
\n" ); document.write( "LET LENGTH AND WIDTH OF FIELD BE L AND B
\n" ); document.write( "FENCING NEEDED AROUND THE FIELD =2L+2B
\n" ); document.write( "FENCING FOR THE 3 PENS OR 2 DIVIDERS ALONG LENGTH =2L
\n" ); document.write( "TOTAL FENCING =2L+2B+2L=4L+2B=800
\n" ); document.write( "OR ....2L+B=400...OR B = 400-2L
\n" ); document.write( "AREA = LB = L(400-2L)=2(200L-L^2)=2{100^2-(L-100)^2}
\n" ); document.write( "THIS WILL BE MAXIMUM WHEN l+!)) AND MAXIMUM AREA IS
\n" ); document.write( "2*100^2=20000 SQ.FT. \n" ); document.write( "
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