document.write( "Question 159444: the length of a rectangular field is 10 meters less than four times its width. It cost $1584 to put a fence around the field . If the fencing cost $4.80 per meter, what is the area of the field? \n" ); document.write( "
Algebra.Com's Answer #117577 by nerdybill(7384)\"\" \"About 
You can put this solution on YOUR website!
the length of a rectangular field is 10 meters less than four times its width. It cost $1584 to put a fence around the field . If the fencing cost $4.80 per meter, what is the area of the field?
\n" ); document.write( ".
\n" ); document.write( "Because the total cost of the fence was: $1584
\n" ); document.write( "AND, it is $4.80 per meter
\n" ); document.write( "The total length of the fence was:
\n" ); document.write( "1584/4.80 = 330 meters
\n" ); document.write( ".
\n" ); document.write( "Let w = width of rectangular field
\n" ); document.write( "then from \"length of a rectangular field is 10 meters less than four times its width\" we get:
\n" ); document.write( "4w-10 = length of rectangular field
\n" ); document.write( ".
\n" ); document.write( "Perimeter is 2(L+W) we now have:
\n" ); document.write( "330 = 2(w + 4w-10 )
\n" ); document.write( "330 = 2w + 8w - 20
\n" ); document.write( "350 = 10w
\n" ); document.write( "35 meters = w (width of the field)
\n" ); document.write( ".
\n" ); document.write( "Length of the field:
\n" ); document.write( "4w-10 = 4(35)-10 = 140-10 = 130 meters (length of the field)
\n" ); document.write( ".
\n" ); document.write( "Area then is:
\n" ); document.write( "35*130 = 4550 square meters\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );