Question

Find the Area of the figure below, composed of a rectangle and a semicircle. Round to

the nearest tenths place.
10
6
Can somebody please help me

Answer 1

Area = 74.1 square units

Explanation:

Area of the composite figure = Area of the rectangle + Area of the semicircle

Area o the rectangle = Length × Width

= 10 × 6

= 60 square units

Area of the semicircle =
`(1)/(2)\pi r^(2)`

Here, r = radius of the semicircle

For the semicircle with radius =
`(6)/(2)` = 3 units

Area =
`(1)/(2)\pi (3)^(2)`

= 4.5π

= 14.14 units²

Total area of the composite figure = 60 + 14.14

= 74.14 square units ≈ 74.1 square units