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Sagot :

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