Find the area of a regular hexagon abcde with the given consecutive vertices a(-4,2) and b (0,5). a.30 units b.35 units c.65.0 units d.69.8 units

Option C.

Step-by-step explanation:

we know that

The area of a regular hexagon can be divided into six equilateral triangles

Applying the law of sines

The area is equal to

where

b is the length side of the regular hexagon

The length side of the regular hexagon is equal to the distance from consecutive vertices A(-4,2) and B (0,5)

the formula to calculate the distance between two points is equal to

substitute the values

Find the area

step-by-step explanation:

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