Question

A garden is in the shape of a square with a perimeter of 36 36 feet. The garden is surrounded by two fences. One fence is around the perimeter of the garden, whereas the second fence is 3 3 feet from the first fence on the outside. If the material used to build the two fences is $ 1.32 $1.32 per foot, what was the total cost of the fences

Answer 1

$110.88

Explanation:

Let L be the length of the first fence surrounding the garden and P its perimeter.

For a square, P = 4L,

So, L = P/4

Since P = 36 feet,

L = P/4

= 36/4

= 9 feet

Let L' be the length of the second fence. Given that second fence is 3 feet away from the first fence, it follows that L' = L + 3

= 9 + 3

= 12 feet.

So, the perimeter of the second fence is P' = 4L'

= 4 × 12 feet

= 48 feet.

So, the total length of the two fences is P" = P + P'

= 36 feet + 48 feet

= 84 feet

Since the cost of the material to build the two fences is $1.32 per foot, the total cost of the fences is cost per foot × total length of fences = $1.32 × 84 = $110.88