Question

find the area of the figure below, composed of a rectangle and a semicircle. round to the nearest tenths place.
7
4
answer attempt 1 out of 2

Explanation:

Step1: Calculate rectangle area

$A_{rectangle} = l \times w = 7 \times 4 = 28$

Step2: Find semicircle radius

$r = \frac{4}{2} = 2$

Step3: Calculate semicircle area

$A_{semicircle} = \frac{1}{2} \pi r^2 = \frac{1}{2} \times \pi \times 2^2 = 2\pi \approx 6.283$

Step4: Sum the two areas

$A_{total} = 28 + 6.283 = 34.283$

Step5: Round to nearest tenth

Round 34.283 to 34.3

Answer:

34.3