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Find the area of the shaded region.

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

Find the area of the shaded region A 36 square units B 32 square units C 17 square units D 16 square units class=

Respuesta :

dalendrk
[tex]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.}[/tex]

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

[tex]\frac{9*8}{2}=36[/tex] square units

Area of triangle with base = 5 and height = 8

[tex]\frac{5*8}{2}=20[/tex] square units

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

Area = [tex]36-20=16[/tex] square units.

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