document.write( "Question 311990: a farmer has 120 yards of fencing to build around a rectengular orchard. let w be the width of the orchard. write an equation giving the area of the orchard. find the dimensions of the orchard when the area is 900 square yards \n" ); document.write( "
Algebra.Com's Answer #223096 by Fombitz(32388)\"\" \"About 
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Let l be the legnth of the rectangle, w be the width of the rectangle.
\n" ); document.write( "The perimeter of a rectangle is
\n" ); document.write( "\"P=2%2A%28l%2Bw%29=120\"
\n" ); document.write( "1.\"l%2Bw=60\"
\n" ); document.write( "The area of a rectanlge is
\n" ); document.write( "\"A=l%2Aw\"
\n" ); document.write( "2.\"l%2Aw=900\"
\n" ); document.write( "From eq. 2,
\n" ); document.write( "\"l=900%2Fw\"
\n" ); document.write( "Substitute into eq. 1,
\n" ); document.write( "\"l%2Bw=60\"
\n" ); document.write( "\"900%2Fw%2Bw=60\"
\n" ); document.write( "\"900%2Bw%5E2=60w\"
\n" ); document.write( "\"w%5E2-60w%2B900=0\"
\n" ); document.write( "\"%28w-30%29%5E2=0\"
\n" ); document.write( "\"w-30=0\"
\n" ); document.write( "\"w=30\"
\n" ); document.write( "Then from eq. 2,
\n" ); document.write( "\"l=30\"
\n" ); document.write( "The orchard is a 30 yd x 30 yd square.
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