Answer:
62.9 square units
Step-by-step explanation:
The area of a composite shape is the sum of the areas of the parts. Here the shape consists of a positive rectangle that has dimensions 8 × 11, together with a negative half circle of radius 8/2 = 4. That is, the area of the half-circle is subtracted from the area of the rectangle, as the problem statement tells you.
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Rectangle area
The area of a rectangle is the product of its dimensions:
A = LW = (11)(8) = 88 . . . . square units
Semicircle area
The area of a semicircle is half the area of a circle, so will be given by the formula ...
A = 1/2πr^2 = 1/2π(4^2) = 8π ≈ 25.1 . . . . square units
Total area
The area of the figure shown is the difference between the rectangle area and the semicircle area:
total area = rectangle area - semicircle area
total area = 88 -25.1 = 62.9 . . . . square units
