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VladimirAG [237]
2 years ago
5

What’s the area for each figure?

Mathematics
1 answer:
Vanyuwa [196]2 years ago
5 0

9514 1404 393

Answer:

  1. 52.5 in²
  2. 52.5 in²
  3. 76.97 in²
  4. total: 181.97 in²

Step-by-step 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

__

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

__

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

_____

<em>Comment on decimal digits</em>

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.

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