Respuesta :
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
[tex]P_{AB}=\dfrac{1}{3}\times AB=\dfrac{8}{3}~\textup{feet}.[/tex]
Therefore, the fraction of the fence that we painted is given by
[tex]P_{fence}=\dfrac{\frac{8}{3}}{32}=\dfrac{8}{3}\times \dfrac{1}{32}=\dfrac{1}{12}.[/tex]
Thus, we painted one -twelveth of the total fence.
