document.write( "Question 242408: A rectangular lot whose perimeter is 460 feet is fenced along three sides. An expensive fencing along the lot's length costs $19 per foot, and an inexpensive fencing along the two side widths costs $8 per foot. The total cost of the fencing along the three sides comes to $4130. What are the lot's dimensions? \n" ); document.write( "
Algebra.Com's Answer #177482 by ankor@dixie-net.com(22740)\"\" \"About 
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A rectangular lot whose perimeter is 460 feet is fenced along three sides.
\n" ); document.write( " An expensive fencing along the lot's length costs $19 per foot, and an inexpensive fencing along the two side widths costs $8 per foot.
\n" ); document.write( "The total cost of the fencing along the three sides comes to $4130. What are the lot's dimensions?
\n" ); document.write( ":
\n" ); document.write( "The perimeter equation (for 3 sides)
\n" ); document.write( "L + 2W = 460
\n" ); document.write( "L = (460-2W)
\n" ); document.write( ":
\n" ); document.write( "The cost equation
\n" ); document.write( "19L + 8(2W) = 4130
\n" ); document.write( "19L + 16W = 4130
\n" ); document.write( ":
\n" ); document.write( "Replace L with (460-2W), find W
\n" ); document.write( "19(460-2W) + 16W = 4130
\n" ); document.write( "8740 - 38W + 16W = 4130
\n" ); document.write( "-38W + 16W = 4130 - 8740
\n" ); document.write( "-22W = -4610
\n" ); document.write( "W = \"%28-4610%29%2F%28-22%29\"
\n" ); document.write( "W = +209.5 ft is the width
\n" ); document.write( "then
\n" ); document.write( "460 - 2(209.5) = 41 ft is the length
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check solutions by finding the cost
\n" ); document.write( "19(41) + 8(2(209.5)) =
\n" ); document.write( "779 + 3352 = 4131 ~ 4130 \n" ); document.write( "
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