The perimeter of a rectangular lot is 74 feet. The cost of fencing along the two lengths is $1 per foot, and the cost of fencing
along the two widths is $3.50 per foot. Find the dimensions of the lot if the total cost of the fencing is $159.
1 answer:
Answer:
340 ft²
Step-by-step explanation:
perimeter of rectangle = 2 x (L+W) = 2L + 2W = 74 .....(1)
cost of two length : $1 x 2L
cost of two width: $3.50 x 2W
($1 x 2L) + ($3.50 x 2W) = $159
2L + 7W = 159 ....... (2)
(2) - (1) ... 5W = 85
W = 17
L = (74 - 2 x 17) / 2 = 20
dimension = 17 x 20 = 340 ft²
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