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?

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clanesianarlz clanesianarlz

12-12-2016
Mathematics

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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?

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JcAlmighty JcAlmighty · Answer 1 · 2016-12-13T15:39:23+01:00

JcAlmighty JcAlmighty

13-12-2016

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

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