What is the area of the composite figure?
500
490.62
245.31
745.31
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ANSWER
745.31
EXPLANATION
The composite figure is made up of a rectangle and a semicircle.
The area of the rectangular portion
is
[tex]Area=l \times w[/tex]
[tex]Area=25 \times 20 = 500c {m}^{2} [/tex]
The semicircle has a radius of
r=12.5cm
The area of the semicircular portion is
[tex]Area= \frac{\pi \: {r}^{2} }{2} [/tex]
Substitute the value of r and π=3.14 to obtain,
[tex]Area= \frac{(3.14) \times {12.5}^{2} }{2} = 245.3125 {cm}^{2} [/tex]
We add the two areas to obtain, the area of the composite figure.
500+245.3125=745.31 cm² to the nearest hundredth.