You have a 32 32 -foot fence around a square garden. There are 4 4 equal sections. You paint 13 1 3 of one section of the fence. What fraction of the fence did you paint?

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asked Jan 10, 2020 97.5k views

2 Answers

Salman Amjad · Answer 1 · 2020-01-17T03:49:46+0000

Answer: The answer is one-twelveth.

Step-by-step explanation: Given that we have a 32 feet fence around a square garden ABCD as shown in the attached figure.

There are four equal sections AB = BC = BD = DA of the fence.

If we paint one-third of one section, then we need to find what fraction of the total fence we painted.

Since ABCD is a square, so AB = BC = CD = DA = 8 feet.

Let we paint one-third of section AB. so, the part of AB we painted is

$P_(AB)=(1)/(3)* AB=(8)/(3)~\textup{feet}.$

Therefore, the fraction of the fence that we painted is given by

P_(fence)=((8)/(3))/(32)=(8)/(3)* (1)/(32)=(1)/(12).

Thus, we painted one -twelveth of the total fence.