Answer:
1244.3 square units
Step-by-step explanation:
The area of a composite figure can be found by decomposing it into its parts, then adding the areas of those parts. This figure can be decomposed into a square of side length 22 units, and two circles, each with radius 11 units.
Square
The area of a square is the square of its side length.
A = s²
A = 22² = 484 . . . . square units
Circles
The area of a circle is given by the formula ...
A = πr²
A = π(11²) = 121π
The area of the two circles is twice this value, or ...
2A = 2(121π) = 242π ≈ 760.3 . . . . square units
Total
The area of the figure is the sum of the areas of its parts:
total area = square area + area of circles
total area = 484 +760.3 = 1244.3 . . . . square units
