Answer:
179.3 square units
Step-by-step explanation:
The area of the figure is the sum of the areas of the parts. That is, the area is the sum of the area of the rectangle, and the area of the semicircle.
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Semicircle
The area of a circle with radius 5 is ...
A = πr²
A = π(5²) = 25π
The area of the semicircle is half that:
semicircle area = (25π)/2 = 12.5π ≈ 39.3 . . . . square units
Rectangle
The area of a rectangle with length L and width W is ...
A = LW
The width of this rectangle is the diameter of the circle, twice the radius, or 10 units.
A = (14)(10) = 140 . . . . square units
Total area
The sum of the areas of the parts is ...
total area = semicircle area + rectangle area
total area = 39.3 + 140 = 179.3 . . . . square units
