SOLUTION: 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

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?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
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?
:
The perimeter equation (for 3 sides)
L + 2W = 460
L = (460-2W)
:
The cost equation
19L + 8(2W) = 4130
19L + 16W = 4130
:
Replace L with (460-2W), find W
19(460-2W) + 16W = 4130
8740 - 38W + 16W = 4130
-38W + 16W = 4130 - 8740
-22W = -4610
W =
W = +209.5 ft is the width
then
460 - 2(209.5) = 41 ft is the length
:
:
Check solutions by finding the cost
19(41) + 8(2(209.5)) =
779 + 3352 = 4131 ~ 4130
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