Using the perimeter and proportions, it is found that 26 posts are needed.
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[tex]P = 2(l + w)[/tex]
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The perimeter is:
[tex]P = 2(l + w) = 2(42 + 36) = 2(78) = 156[/tex]
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1 post - 6 feet
x posts - 156 feet
Applying cross multiplication:
[tex]6x = 156[/tex]
[tex]x = \frac{156}{6}[/tex]
[tex]x = 26[/tex]
26 posts are needed.
A similar problem is given at https://brainly.com/question/12700998