Question

4) A garden is in the shape of a square with a perimeter of

56 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 on the outside. If the material used to build the two fences is $1.21 per foot, what was the total cost of the fences?

It costs $ ______ to build the fences.

Answer 1

It costs $154.88 to build the fences.

Explanation:

Perimeter of square =
`4 * Side`

We are given that A garden is in the shape of a square with a perimeter of 56 feet.

So,
`4 * side = 56`

Side =
`(56)/(4)=14 feet`

So, Side of square park = 14 feet

One fence is around the perimeter of the garden, whereas the second fence is 2 feet from the first fence on the outside.

Outer length = 14+2+2=18 feet

So, Perimeter of outer fence =
`4 * side = 4 * 18 = 72 feet`

Cost of fencing 1 foot = $1.21

Cost of fencing 56 feet =
`56 * 1.21=67.76`

Cost of fencing 72 feet =
`72 * 1.21=87.12`

Total cost = 67.76+87.12=154.88

Hence It costs $154.88 to build the fences.