Question

I don’t understandddd please helppp

Answer 1

`214in^(2)`

Explanation:

First we find the area of the regular hexagon.

Area = 4√3*24

Area ≈
`166in^(2)`

Now we find the area of the other shaded region, which is a parallelogram.

Area = bh

The base of the parallelogram is congruent to one of the sides of the regular hexagon, which means the base is 8 inches.

To find the height, we have to look at the right triangle next to the parallelogram. As we can see, the long leg of the right angle is perpendicular to the base of the parallelogram, and since the height of a parallelogram is perpendicular to its base, we find out that the height of the parallelogram is 6 inches.

Now we find the area.

Area = 6*8

Area =
`48in^(2)`

Now we add the both areas.

`166 in^(2)+48 in^(2)=214 in^(2)`

The area of the composite figure is ≈
`214 in^(2)`