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:
[tex]\rm d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
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):
[tex]\rm 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
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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