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The school puts up fencing around an area in the shape of a hexagon for an outdoor concert. how much fencing does the school use? round your answer to the nearest whole yard.

Sagot :

The total length of school installs fencing around a hexagon-shaped area for an outside concert, is 36 yards.

What is the distance formula?

  • Distance is a numerical measurement of the distance between two objects or places.
  • Distance can refer to a physical length or an estimate based on other criteria in physics or common usage.
  • The distance between two points A and B is commonly expressed as |AB|.

To find the fencing used by the school:

The distance formula can be given as: [tex]d=\sqrt{(x_{2}-x_{1} )^{2} +(y_{2} -y_{1})^{2} }[/tex]

First, we must calculate the length of the hexagon using the distance formula.

The hexagon's coordinates, according to the graph, are:

(-5, 4), (0, 6), (5, 4), (6, -2), (0, -4), and (-6, -2)

The distance between (-5, 4), (0, 6): [tex]d=\sqrt{(5)^{2} +(6-4)^{2} }[/tex]

  • d = √29 yards

Similarly, the distance between (-5, 4) and (6, -2):

  • = √37 yards

And the distance between (6, -2) and (0, -4):

  • = √40 yards

Amount of fencing required = 2(√29+√37+√40):

  • = 35.58 units ≈ 36 yards

Therefore, the total length of school installs fencing around a hexagon-shaped area for an outside concert, is 36 yards.

Know more about the distance formula here:

https://brainly.com/question/20761638

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The complete question is given below:

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.

The school puts up fencing around an area in the shape of a hexagon for an outdoor concert. How much fencing does the school use? Round your answer to the nearest whole yard.

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