Answer:
Option B.
Step-by-step explanation:
Area of the composite figure = Area of the rectangle- area of the semicircle removed
= (length × width) - [tex]\frac{1}{2}(\pi )(r^{2} )[/tex]
Since diameter of the semicircle is the width of the rectangle.
So, radius of the semicircle = [tex]\frac{3.8}{2}[/tex]
= (3.8 × 9.2) - [tex]\frac{1}{2}(3.14)(\frac{3.8}{2})^{2}[/tex]
= 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.
