A garden is in the shape of a square with a perimeter of 34 feet. The garden is surrounded by two fences. One fence is around the perimeter of the garden, whereas the second fence is 2 feet from the first fence, as the figure indicates. If the material used to build the two fences is $1.85 per foot, what was the total cost of the fences?
A) The total cost of the fences was $77.70.
B) The total cost of the fences was $140.60.
C) The total cost of the fences was $155.40.
D) The total cost of the fences was $154.34.
E) The total cost of the fences was $92.50.

Question

A garden is in the shape of a square with a perimeter of 34 feet. The garden is surrounded by two fences. One fence is around the perimeter of the garden, whereas the second fence is 2 feet from the first fence, as the figure indicates. If the material used to build the two fences is $1.85 per foot, what was the total cost of the fences? 
A) The total cost of the fences was $77.70. 
B) The total cost of the fences was $140.60. 
C) The total cost of the fences was $155.40. 
D) The total cost of the fences was $154.34. 
E) The total cost of the fences was $92.50.

Quizplus · Accepted Answer

The perimeter of the garden is 34 feet, so each side of the square garden is 34/4 = 8.5 feet long. The second fence is 2 feet from the first fence, so it is 2 feet from each side of the garden, making the length of each side of the second fence 8.5+2+2 = 12.5 feet. The total length of the first fence is 34 feet, and the total length of the second fence is 4*12.5 = 50 feet. Therefore, the total cost of the fences is (34+50)*1.85 = $155.40, which is answer choice C.

A Garden Is in the Shape of a Square with a Perimeter