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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 :

Answer:

It costs $154.88 to build the fences.

Step-by-step explanation:

Perimeter of square = [tex]4 \times Side[/tex]

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

So,[tex]4 \times side = 56[/tex]

Side =[tex]\frac{56}{4}=14 feet[/tex]

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 = [tex]4 \times side = 4 \times 18 = 72 feet[/tex]

Cost of fencing 1 foot = $1.21

Cost of fencing 56 feet =[tex]56 \times 1.21=67.76[/tex]

Cost of fencing 72 feet = [tex]72 \times 1.21=87.12[/tex]

Total cost = 67.76+87.12=154.88

Hence It costs $154.88 to build the fences.

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