Verified Answer :

dalendrk

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

Answer:

D. 16 square units

Step-by-step explanation:

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

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

\(\frac{9*8}{2}=36\) square units

Area of triangle with base = 5 and height = 8

\(\frac{5*8}{2}=20\) square units

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

Area = \(36-20=16\) square units.

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