Question

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find the area of the figure below, composed of a rectangle and two semicircles. round to the nearest tenths place.

Explanation:

Step1: Find area of rectangle

The rectangle has length \( 13 \) and width \( 4 \). Area of rectangle is \( \text{length} \times \text{width} = 13 \times 4 = 52 \).

Step2: Find area of two semicircles

Two semicircles make a full circle. The diameter of the circle is \( 4 \), so radius \( r = \frac{4}{2} = 2 \). Area of a circle is \( \pi r^2 = \pi \times 2^2 = 4\pi \approx 12.566 \).

Step3: Total area

Add area of rectangle and circle: \( 52 + 12.566 \approx 64.6 \) (rounded to nearest tenth).

Answer:

\( 64.6 \)