254.5
Step-by-step explanation:
The area of the figure is the sum of the areas of the parallelogram and the semicircle. (Both the problem statement and the figure tell you this.)
The area of the parallelogram is given by the formula ...
A = bh
where the base is 22 and the height is 9.
A = (22)(9) = 198
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The area of the semicircle is 1/2 the area of a circle with the same dimensions. The area of a circle is given by the formula ...
A = πr²
where r is the radius, half the diameter. For a radius of 6, the area of a circle would be ...
A = π(6²) = 36π
The area of the semicircle is then ...
36π/2 = 18π ≈ 56.5
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The area of the irregular shape is the sum of these:
parallelogram area + semicircle area
= 198 +56.4 = 254.5 . . . . square units
