Question

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

Answer 1

Answer:

The area of the figure is 193.1 m

Step-by-step explanation:

1. The figure can be divided in two: 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.