Question

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

Answer 1

Area of the composite figure = 175.1 square units

Explanation:

Area of the composite figure given in the picture = Area of the parallelogram + Area of the semicircle formed on one side of the parallelogram

Area of the parallelogram = Base × Height

= 30 × 5

= 150 square units

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

=
`(1)/(2)(\pi)((8)/(2))^(2)`

= 8π

= 25.13

≈ 25.1 square units

Now area of the complete figure = 150 + 25.1

= 175.1 square units