Question

a semicircle is attached to the side of a rectangle as shown.
what is the best approximation for the area of this figure?
use 3.14 to approximate pi.
select from the drop-down menu to correctly complete the statement.
the area is choose... $cm^{2}$.
dimensions of the figure: rectangle with length 18 cm, width 6 cm; the semicircle is attached to one of the 6 cm sides of the rectangle

Explanation:

Step1: Calculate rectangle area

Area of rectangle: $A_r = l \times w = 18 \times 6 = 108$ $\text{cm}^2$

Step2: Find semicircle radius

Radius of semicircle: $r = \frac{6}{2} = 3$ $\text{cm}$

Step3: Calculate semicircle area

Area of semicircle: $A_s = \frac{1}{2} \pi r^2 = \frac{1}{2} \times 3.14 \times 3^2 = \frac{1}{2} \times 3.14 \times 9 = 14.13$ $\text{cm}^2$

Step4: Sum the two areas

Total area: $A_t = A_r + A_s = 108 + 14.13$

Answer:

$122.13$ $\text{cm}^2$