Question

Find the area of the composite figure in square mm. Round your

answer to the nearest square milimeter. (Enter only a number as
your answer.)

Answer 1

521

Explanation:

Composite figure.

Draw a straight down from C to line segment AB. This forms a triangle.

Now, the area of this figure=

Area of semicircle+area of rectangle+ area of triangle.

Rectangle area formula = l times w

Length - 20

Width =14

14 times 20 = 280

Area of rectangle = 280

Semicircle area = area of circle/2

Area of circle = π
`r^2`

Diameter =20= 2r

r=10

π
`r^2`= π 10^2 =100π

100 times 3.14 =314

314/2 = 157

Area of semicircle = 157

Area of triangle= bh/2

Triangle's base= 32-20=12

Triangles height = 14

14 times 12 = 168

168/2 = 84

Area of triangle: 84

Area of semicircle+area of rectangle+ area of triangle.

157+280+84 =521