The figure consists of a square and 4 semicircles.
From the information given,
length of each side of the square, s = 8
Area of square = s^2
Area of square = 8^2 = 64
diameter of semicircle = 8
radius = diameter/2 = 8/2
radius = 4
Area of semicircle = 1/2 x π x radius^2
Area of each semicircle = 1/2 x π x 4^2 = 8π
Area of 4 semicircles = 4 x 8π = 32π
Area of figure = 64 + 32π
Substituting π = 3.14,
Area of figure = 64 + 32 x 3.14 = 64 + 100.48
Area of figure = 164.5
