Answer:
Area of the figure = 16 + 12.56 = 28.56 units²
Step-by-step explanation:
The area of the figure below is when you add the area of each recognizable shape that makes up the figure.
From the figure I can recognize 4 squares and quarter of a circle into 4 places.
The radius of the circle is 2 unit while the sides of the square is also 2 units.
Area of the squares
area = L²
area = 2² = 4
area for 4 squares = 4 × 4 = 16 units²
Area of the quarter circles.
area = πr²/4
area = π × 2²/4 = 4π/4 = π
area of the 4 quarter circles = 4π = 4 × 3.14 = 12.56 units²
Area of the figure = 16 + 12.56 = 28.56 units²
