Hi there!
To solve this problem, we need to find the area of the circle and divide that by 2 to get the area of the semicircle, and then add that to the area of the rectangle.
First, let's find the area of the semicircle.
Since the area of a circle is calculated by pi × r^2 and diameter = 2r, we divide the diameter by 2 and plug it into the formula.
10 ÷ 2 = 5
pi × 5^2
= pi × 25
= 25pi
25pi ÷ 2 = 12.5pi
Now, let's find the area of the rectangle.
4 × 10 = 40
We add the areas together:
12.5pi + 40 = 79.27
So, the area is 79.27.
Hope this helps!