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

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 )