Question

Find the area of the following composite figure using π = 3.142. Round your answer to 2 decimal places.

• A. 1145.45 cm²
• B. 1175.50 cm²
• C. 1260.54 cm²
• D. 1045.30 cm²

Answer 1

The correct option is B

1175.50 cm²

l = 35 cm

w = 26 cm

r =$\frac{26}{2}$ = 13 cm

A = Area of a rectangle + Area of semicircle

= lw + $\left(\frac{1}{2}\right)$ $\pi r^2$

= 35 $\times$ 26 + $\left(\frac{1}{2}\right)$ $\times$ 3.142 $\times$ ${13}^2$

= 910 + 265.50

= 1175.50

So, the area is 1175.50 $c{m}^2$