9514 1404 393
Answer:
- 52.5 in²
- 52.5 in²
- 76.97 in²
- total: 181.97 in²
Explanation:
1, 2. The area of each triangle is given by the formula ...
A = (1/2)bh . . . . . for base b and height h
The area of the given triangle is ...
A = (1/2)(7 in)(15 in) = 105/2 in² = 52.5 in²
Triangles 1 and 2 have the same dimensions, so have the same area.
Figure 1 area: 52.5 in²
Figure 2 area: 52.5 in²
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3. The area of the semicircle is given by the formula ...
A = (1/2)πr² . . . . for a semicircle of radius r
This semicircle has a radius of 7 in, so an area of ...
A = (1/2)(3.1416)(7 in)² ≈ 76.97 in²
Figure 3 area: 76.97 in²
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The total area is the sum of these:
52.5 in² + 52.5 in² +76.97 in² = 181.97 in²
Composite Figure area: 181.97 in²
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Comment on decimal digits
We cannot tell your rounding requirements. Here, we have rounded to the nearest hundredth. If you use the value 3.14 for pi, then your areas for the semicircle and composite figure will end in .93, not .97.