Answer:
102,9 cm^2
Step-by-step explanation:
First of all we can find the area of the two rectangles at the sides of the figure
A rectangle = length x width = 8 x 4 = 32 cm^2
the rectangles are two so:
32 x 2 = 64 cm^2
for the figure in the center we can proceed like this: we can initially assume that also it is a rectangle, so we have to find the length
length = 16-8 = 8 cm
A = 8^2 = 64 cm^2 (so we have discovered that is a square)
if we look we can see that there is also a semicircle that is not part of the figure. We have to find its area and subtract it to the area of the square
A semiciricle = (radius^2 π)/2
radius = 8/2 = 4 cm
A semicirlce = (4^2) π/2 = 25,13 cm^2
64 - 25,13 = 38,87 cm^2
At least we have to added up this value to the area of the two rectangles
total area = 38,87 + 64 = 102,87 = 102,9 cm^2
