Question

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

Answer 1

The amount of fencing is 36 yards if the school puts up fencing around an area in the shape of a hexagon for an outdoor concert.

What is a distance formula?

It is defined as the formula for finding the distance between two points. It has given the shortest path distance between two points.

The distance formula can be given as:

$\rm d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

First, we have to find the length of the hexagon by using the distance formula.

As per the graph, the coordinates of the hexagon are:

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

The distance between (-5, 4), (0, 6):

$\rm d=\sqrt{(5)^2+(6-4)^2}$

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

Thus, the amount of fencing is 36 yards if the school puts up fencing around an area in the shape of a hexagon for an outdoor concert.

Learn more about the distance formula here:

brainly.com/question/18296211

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