ANSWER: 152.5 m²
&
ANSWER: 66.8m
(I’m assuming shaded region is the whole shape)
Area triangle = 1/2bxh
96= 1/2(16)h
96=8h
h=12m
If h=12m then circle diameter = 12m
radius=12 ÷2= 6m
Area of circle= πr²
Area of semi circle = 1/2 π r²
1/2 π r²= 1/2 π(6²) =18πm² or 56.5 m²
56.5+96= 152.5 m²
ANSWER: 152.5 m²
PERIMETER
|YZ|=16
|XY|=12
|XZ|=
a²+b²=c²
(16 ²)+(12 ²)=c ²
c ²=400
c=20m
Perimeter of circle= 2πr
Perimeter of semicircle= πr = π(6)= 18.8m
[18.8+20+12+16=66.8m]
ANSWER: 66.8m