Question

What is the area of the composite figure? 500 490.62 245.31 745.31

Answer 1

ANSWER

745.31

EXPLANATION

The composite figure is made up of a rectangle and a semicircle.

The area of the rectangular portion

is

$Area=l \times w$

$Area=25 \times 20 = 500c {m}^{2}$

The semicircle has a radius of

r=12.5cm

The area of the semicircular portion is

$Area= \frac{\pi \: {r}^{2} }{2}$

Substitute the value of r and π=3.14 to obtain,

$Area= \frac{(3.14) \times {12.5}^{2} }{2} = 245.3125 {cm}^{2}$

We add the two areas to obtain, the area of the composite figure.

500+245.3125=745.31 cm² to the nearest hundredth.