Question

Find the area of the figure. Use 3.14 for st, and round your answer to the nearest tenth.

Rectangle with a semicircle cut out of one end
3.8in
9.2in
14.6 sq. in.
29.3 sq. in.
29.0 sq. in.
25.7 sq. in.
C.
d.
Please select the best answer from the choices provided
Ο
Α

Answer 1

B

Explanation:

Answer 2

Option B.

Explanation:

Area of the composite figure = Area of the rectangle- area of the semicircle removed

= (length × width) -
`(1)/(2)(\pi )(r^(2) )`

Since diameter of the semicircle is the width of the rectangle.

So, radius of the semicircle =
`(3.8)/(2)`

= (3.8 × 9.2) -
`(1)/(2)(3.14)((3.8)/(2))^(2)`

= 34.96 - 5.6677

= 29.2923

≈ 29.3 in²

Therefore, area of the given composite figure is 29.3 in².

Option B is the correct option.