Answer:
55.0 m²
Explanation:
The area (A) of the shaded portion is the area of the square subtract the area of the circle, that is
A = 16² - πr²
The circle is inscribed inside the square thus has a diameter of 16, thus
r = 16 ÷ 2 = 8
A = 256 - (3.14 × 8²) = 256 - 200.96 ≈ 55.0 m² ( to the nearest tenth )