Question

Find the area of the figure.

Answer 1

Step-by-step explanation:

Area of Rectangle at the top =

Length x Width

$= 3.5 \times 3 \\ = 10.5 {mm}^{2}$

Area of Quarter- Circle = 1/4 x Area of Circle

$= \frac{1}{4} \pi {r}^{2} \\ = \frac{1}{4} \pi( {3.5}^{2} ) \\ = 3 \frac{1}{16} \pi {mm}^{2}$

Area of Rectangle at the right = Length x Width

$= 5.5 \times 3.5 \\ = 19.25 {mm}^{2}$

Total Area = Area of 2 Rectangles + Area of Quarter Circle

$= 10.5 + 3 \frac{1}{16} \pi + 19.25 \\ = 29.75 + 3 \frac{1}{16}\pi \\ = 32 \frac{13}{16}\pi {mm}^{2}$

I will leave the answer in terms of pi as I'm not sure if you need to round off your answer.