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Goryan [66]
3 years ago
12

Find the area of the figure. Round to the nearest tenth if necessary.

Mathematics
1 answer:
Sladkaya [172]3 years ago
5 0

Answer:

The area of the figure is 193.1 m

Step-by-step explanation:

  1. The <u>figure can be divided in two</u>: a rectangle with a with of 11.1m and a lenght of 15.3 m; and a triangle with a base that measure 11.1 m and  the height of (19.5 - 15.3 = 4.2 m).
  2. The area of the rectangle can be calculated as follows: area=with\times{height}. Then, the rectabgle area equals 11.1\times15.3=169.83m.
  3. The area of a triangle can be calculated as area=\frac{base\times{height}}{2}. Then, the triangle area equals \frac{11.1\times{4.2}}{2} =23.31.
  4. The sum of both areas equals the area of the figure. Then, the area of the figure equals 169.83+23.31=193.14≅193.1
  5. See the picture attached to see en detail the decomposition of the figure into a triangle and a rectangle.

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