Question

Find the area of the shaded region for the following figure.

Answer 1

I solved it to be 116.3ft, but i'm unsure.
I drew a triangle at the bottom and divided the parts into 4.
I used the Pythagorean theorem to find the height, which was 4 root 3.
the area of the triangle is 16 root 3.
I subtracted that from the area of the rectangle, which is 144 and got 116.3

Answer 2

Draw a line connecting the points at the bottom of the figure. That will give you a rectangle with a triangle inside. The area of the shaded area is the area of the rectangle less the area of the triangle.

Answer 3

I meant that I drew an altitude, and seperated the parts into 4.

Answer 4

find the area of the triangle


you need pythagoras to find the height of the triangle





Shaded Area = Area of Rectangle - Area of triangle

\[A = 18 \times8 - \frac{1}{2} \times 8 \times4\sqrt{3}\]