Find the area of the regular hexagon
A) 36 cm
B) 64 cm
C) 96 cm
D) 345 cm

C) 96

Step-by-step explanation:

Are of a triangle is height times length

8*4= 32 and 32 divided by 2 is 16.

Since there are 6 triangles, multiply 16 by 6 which will give you 96.

B

Step-by-step explanation:

Preliminary

From A, drop a perpendicular to the line BC.

The line BC has to be extended to your right.

Call the intersection point D.

Find angle ABD

ABD and ABC = 180                   They are supplementary angles.

140 + ABD = 180

ABD = 40

Find AD

Sin(theta) = AD/AB

AB = 25

Theta = 40

Sin(theta) = AD / 25

Sin(40) = 0.6428

0.6428 = AD / 25                       Multiply both sides by 25

AD = 25*0.6428

AD = 16.07

Find the Area of ABC.

The height = 16.07

The base = 40 m

Area = 40*16.07 / 2

Area = 321.4 m^2