What is the approximate area of the figure?
a.
152.5 square feet
b.
209.04 square feet
c.
114.8 square feet
d.
124.3 square feet

Okay, first we need to calculate the area of the rectangle. 

Area of Rectangle- 16 x 6 = 96 

Next, we need to calculate the area of the semicircles. 

Formula: Radius x Radius x pi (3.14) = Area of circle

 Since we know that the diameter is 6 we can figure out the radius. 
The radius is half of the diameter. So our radius is 3. 

3 x 3 x 3.14 = 28.26

Since it's a semi circle we now need to divide by 2. 

28.26 divided by 2 = 14.13 

Then, we add.  

Area of rectangle 
+
Area of 2 semi circles 

96 + 14.13 + 14.13 = Total Area of The Figure 

So our answer is 124.26

Atranslation 6 units to the right and 4 down