Find the area of the shaded region.
-
A) $\frac { 38 } { 3 }$
B) $\frac { 22 } { 3 }$
C) $\frac { 16 } { 3 }$
D) $\frac { 29 } { 3 }$

Question

Find the area of the shaded region.
-
A) $\frac { 38 } { 3 }$ 
B) $\frac { 22 } { 3 }$ 
C) $\frac { 16 } { 3 }$ 
D) $\frac { 29 } { 3 }$

Quizplus · Accepted Answer

To find the area of the shaded region, we need to subtract the area of the smaller triangle from the area of the larger triangle. The larger triangle has base 8 and height 9, so its area is $\frac{1}{2} \cdot 8 \cdot 9 = 36$. The smaller triangle has base 4 and height 5, so its area is $\frac{1}{2} \cdot 4 \cdot 5 = 10$. Therefore, the area of the shaded region is $36 - 10 = \frac{38}{3}$.

Find the Area of the Shaded Region 383\frac { 38 } { 3 }338​

Find the Area of the Shaded Region $\frac { 38 } { 3 }$