Question

The figure oelow is a composite of a

semicircle and a trapezoid.
9 cm
4 cm
5 cm
Which measurement is closest to the area
of the composite figure?
A 91.6 cm? C 68.4 cm?
B 78.2 cm? D 83.6 cm?

Answer 1

9514 1404 393

Answer:

C 68.4 cm²

Explanation:

The area of the semicircle is given by ...

A = 1/2π(d/2)^2 = (π/8)d^2

A = (π/8)(9 cm)^2 ≈ 31.8 cm^2

The area of the trapezoid is given by ...

A = 1/2(b1 +b2)h

A = 1/2(9 cm + 5 cm)(4 cm) = 28 cm^2

Then the total area is ...

31.8 cm^2 +28 cm^2 = 59.8 cm^2

Of the offered choices, 68.4 cm^2 is closest.