Answer:
Step-by-step explanation:
The area of the composite shape is the sum of the areas of the semi circle with a diameter of 8 m and the triangle with a height of 8 m and with a base of 12 m.
Area = A_semicircle = A_triangle
Formulas:
A_semicircle = 0.5πr² or 0.125πd²
where:
r = radius
d = diameter
A_triangle = 0.5bh
where:
b = base
h = height
Solution:
For the semicircle:
A_semicircle = 0.125π(8)²
A_semicircle = 8π or 25.13 m²
For the triangle:
A_triangle = 0.5(12)(8)
A_triangle = 48 m²
For the area of the composite shape:
A = 25.13 + 48
A = 73.13 m²
