Answer: 85.5
This value is approximate.
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Step-by-step explanation:
Let's divide the figure into 3 regions.
- A = area of semicircular region
- B = area of rectangular region
- C = area of triangular region
The goal is to find A+B+C
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Region A:
A full circle has area of pi*r^2. Plug in the radius of 3 (half the diameter 6) and we get 9pi as the exact area. Your teacher wants you to replace pi with 3, so 9pi = 9*3 = 27 approximately
27 represents the approximate area of the full circle, but we want only half of it. So 27/2 = 13.5 is the approximate area of region A.
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Region B
area = length*width
area = 10*6
area = 60 square inches
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Region C
The base of the triangle is 14-10 = 4 inches. The height is the same as the rectangle (6 inches).
area = 0.5*base*height
area = 0.5*4*6
area = 12 square inches
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To recap everything so far, we found the areas of the regions to be...
- A = 13.5 (approximate)
- B = 60 (exact)
- C = 12 (also exact)
Therefore,
total area = A+B+C
total area = 13.5+60+12
total area = 85.5 which is approximate