Answer:
58.3 in^2
Explanation:
The shape is made of a rectangle, a triangle and a semi-circle. We can find the area of each section and then add them together to get the area of the whole shape.
The area of a rectangle is length x width.
The length of the rectangle is 11 inches and the width is 4 inches
11 times 4 is 44
so the area of the rectangular section is 44 inches squared
To find the semi circle, I would find the area of a circle with an equal radius, and then divide that by 2.
The area of a circle is pi times the radius squared.
The radius here is 2 inches because it says diameter is 4 inches
2 squared is 4 and 4 times pi is ~12.6
So the area of the semi-circle section is ~6.3 inches squared
The area of a triangle is 1/2 base x height
Both the base and height of this triangle are 4 inches long (15-11=4)
so 1/2(4) times 4 is 8
so the area of the triangle section is 8 inches squared
Add them all together and you get 58.3 inches squared