Find the area of the composite shape and how you got that 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

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