Answer:
o 179 in²
Step-by-step explanation:
We can see that the composite figure consists of two semi-circles each of diameter 10 (radius 5) and a square of side 10
We add up the areas of all three figures and we get the area of the composite figure
Since two semi-circles form a circle, we can consider the composite of the two semi-circles as a single circle of radius 5
The area of a circle = πr² where r is the radius
So, Area of 2 semi-circles = π · 5²
= 25π
≈ 78.5398 in²
= 79 in² rounded to the nearest whole number
The area of a square is the square of the length of its side
Area of square = 10² = 100 in²
Addiing the two numbers we get
Area of composite figure = 79 + 100 = 179 in²
