Answer:
109 cm^2
Step-by-step explanation:
We will find the area of the semi circle at the bottom.
The diameter is 12 so the radius is 6
A semicircle is 1/2 of a circle so it has 1/2 the area
A = pi r^2
A semicircle = 1/2 pi r^2
= 1/2 *pi *6^2
= 1/2 *3.14 *36
= 56.52
Next is the strip
It is rectangular with length 12 and width 2
A = l*w = 2*12 = 24
Finally we have the quarter circle
A quarter = 1/4 of the area of a circle
The radius is 6
A quarter = 1/4 pi r^2
=1/4 pi *6^2
= 1/4 *3.14 *36
= 28.26
Sum the areas together
A semi circle + A rectangle * A quarter circle
56.52 + 24+ 28.26
108.78 cm^2
Rounding to the nearest whole number
109 cm^2
