Answer:
about 13.73 square feet
Step-by-step explanation:
We presume you want the area of the figure.
It can be decomposed into a triangle with base 3.6 ft and height 4.8 ft, together with a semicircle of diameter 3.6 ft.
The area of the triangle is given by ...
A = 1/2bh
For the given base and height, this is ...
A = (1/2)(3.6 ft)(4.8 ft) = 8.64 ft²
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The radius is half the diameter, so the radius of the semicircle is 1.8 ft. The area of a whole circle of radius 1.8 ft is given by ...
A = πr² = π(1.8 ft)² = 3.24π ft²
We want the area of half the circle, so its area will be ...
semicircle area = (1/2)(3.24π ft²) = 1.62π ft² ≈ 5.089 ft²
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Then the total area of the figure is ...
total area = triangle area + semicircle area
= 8.64 ft² + 5.09 ft²
total area = 13.73 ft²
