Question

Find the area of the shaded region.

A. 36 square units
B. 32 square units
C. 17 square units
D. 16 square units

Answer 1

`A_(\Delta1)=((5+4)\cdot8)/(2)=(9\cdot8)/(2)=(72)/(2)=36\ (u^2)\\\\A_(\Delta2)=(5\cdot8)/(2)=(40)/(2)=20\ (u^2)\\\\A=A_(\Delta1)-A_(\Delta2)\\\\\boxed{A=36-20=16\ (u^2)}\to\fbox{D.}`

Answer 2

D. 16 square units

Explanation:

Area of right angle triangle = (base*height)/2

Area of triangle with base = 5+4=9 and height = 8

`(9*8)/(2)=36` square units

Area of triangle with base = 5 and height = 8

`(5*8)/(2)=20` square units

Now subtracting the smaller area from larger area, we get the area of shaded portion.

Area =
`36-20=16` square units.