a post is put every 6 feet along a fence around a rectangular field that is 42 ft long and 36 ft wide.How many posts are needed?

Respuesta :

Using the perimeter and proportions, it is found that 26 posts are needed.

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  • Posts will be placed along the perimeter of the rectangular field.
  • The perimeter of a rectangle of length l and width w is given by:

[tex]P = 2(l + w)[/tex]

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  • 42 ft long means that [tex]l = 42[/tex]
  • 36 ft wide means that [tex]w = 36[/tex]

The perimeter is:

[tex]P = 2(l + w) = 2(42 + 36) = 2(78) = 156[/tex]

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  • 1 post every 6 feet.
  • How many posts along 156 feet?

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.

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