Question

ANSWER ASAP FOR BRAINLIETS AWARD

Find the area of the figure. Round to the nearest tenth if necessary.


Select one:
a. 121.4 units2
b. 116.3 units2
c. 98.7 units2
d. 88.6 units2

Answer 1

First, find the area of the whole figure and then subtract the area of the cut out triangle.

Area of whole figure:

It’s just a rectangle, so 18 * 8 = 144 units squared

Area of the triangle:

We know the base is 8, but we need to find the height. The height of an equilateral triangle is always a (the side)/2 * sqrt(3). So, the height is 4 * sqrt(3).

The area of the the triangle is (8 * 4sqrt(3))/2 = 16 * sqrt(3).

So, we do 144 - 16 * sqrt(3) is about 116.3 units squared, or choice (B).