Question

PLEASE EASY 20 POINTS A new park in the shape of a hexagon will have 6 sides of equal length.

On a scale drawing, the coordinates of the vertices of the park are (26.5, 12), (38.5, 7), (26.5, 2), (13.5, 2), (1.5, 7), and (13.5, 12).


How long is each side of the park?

Answer 1

Using the distance formula, each side of the park is 13 units long

How to determine the length of each side?

The vertices of the park are given as:

(26.5, 12), (38.5, 7), (26.5, 2), (13.5, 2), (1.5, 7), and (13.5, 12).

The length of each side is calculated using the following distance formula:

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

Using any consecutive points, we have:

$d = \sqrt{(13.5 - 1.5)^2 + (12 -7)^2} = 13$

Hence, each side of the park is 13 units long

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