Question

What is the area of the composite figure?

500
490.62
245.31
745.31

Answer 1

745.31

Step-by-step explanation

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

The area of the rectangular portion

is

`Area=l * w`

`Area=25 * 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) * {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.