A garden is in the shape of a square with a perimeter of 60 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?



Answer :

The total length between the two fences is 136 ft, and the total cost is 164.56 dollars.

What was the total cost of the fences?

We have a square garden with a perimeter of 60ft. Then if the sidelength of the square is S, we have that:

60ft = 4*S

S = 60ft/4 = 15ft

We know that the first fence is around the perimeter of the garden, so the length of the first fence is exactly 60ft.

Now, the other fence is 2ft away from the first fence, so it forms a square of sidelength of:

15ft + 2*2ft = 19ft

Then the perimeter of this square is:

P = 4*19ft = 76ft

This means that the length of the second fence is 76 ft.

So the total length of fence is 76ft + 60ft = 136ft

And the cost is $1.21 per ft, then the total cost for the fence is:

C = 136*$1.21 = $164.56

If you want to learn more about squares:

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