Answer:
D.) 38 cm²
Step-by-step explanation:
apologies if this isn't correct but I hope it is, anyway have a good day/night!
the area of the figure is 38.28cm².
The area of the shape is the sum of the area of the semicircle, a rectangle, and a right triangle.
Area of a semicircle = [tex]\frac{1}{2}[/tex]πr²
[tex]\frac{1}{2}[/tex]x 3.14 x (4/2)² = 6.28 cm²
Area of the rectangle = length x width
6 x 4 = 24 cm²
Area of the right triangle = [tex]\frac{1}{2}[/tex]x base x height
[tex]\frac{1}{2}[/tex]x (10 - 6) x 4 = 8cm²
Sum of the areas = 8 + 24 + 6.28 = 38.28cm²
