Question

a blue shaded triangle with 12in on the left side and 16in under the triangle
theirs a white triangle inside on the left side inside of it is 3in and on the bottom side is 4in

Find the area of the blue shaded region in the figure.
Responses
A 84
84 in 2
B 90
90 in 2
C 186
186 in 2
D 204

The area of the blue shaded region can be found by subtracting the area of the white triangle from the area of the blue triangle.

Area of blue triangle = 1/2 * base * height = 1/2 * 16 * 12 = 96 in^2
Area of white triangle = 1/2 * base * height = 1/2 * 4 * 3 = 6 in^2

Area of blue shaded region = Area of blue triangle - Area of white triangle
Area = 96 in^2 - 6 in^2
Area = 90 in^2

Therefore, the correct answer is:

B) 90 in^2