What’s the area for each figure?

9514 1404 393

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

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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

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.

1/800 is the right answer