Question

You have a 32-foot fence around a square garden. You paint 1/3 of one side of the fence. What fraction of the fence did you paint?

Answer 1

The answer is 1/12.

The perimeter of a square garden with side s is:
P = 4s

s = 1/4P

Since it is painted 1/3 of 1/4 of the fence, the fraction of the painted fence is:
1/3 * 1/4 = 1/12