Answer:
C
Step-by-step explanation:
Here, we have a rectangle and a semi-circle and we want to calculate the area of the given shape
To get this, we add the area of the rectangle to the area of the semi-circle
The area of the rectangle is 12 * 9 = 108 square yard
From the diagram, we can see that 9 yards represent the diameter of the semi-circle
What we need to get the area of the semi-circle is the radius and this is half of the diameter
In this case, the half of the diameter is 9/2 = 4.5 yards
The area would be pi * r^2/2
= 3.142 * 4.5^2 = 63.6255/2 = 31.81275 square yards
We proceed to add this to the area of the rectangle
Mathematically, that would be ;
31.81275 + 108 = 139.81275 square yards
The closest answer here is 139.79 which we are going to select
The reason for the answer difference is the version of pi used
Pi could be 22/7 or 3.142
Using both will lead to different answers before approximation
