Answer:
The area of the figure is 193.1 m
Step-by-step explanation:
- 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).
- The area of the rectangle can be calculated as follows: [tex]area=with\times{height}[/tex]. Then, the rectabgle area equals [tex]11.1\times15.3=169.83m[/tex].
- The area of a triangle can be calculated as [tex]area=\frac{base\times{height}}{2}[/tex]. Then, the triangle area equals [tex]\frac{11.1\times{4.2}}{2} =23.31[/tex].
- The sum of both areas equals the area of the figure. Then, the area of the figure equals [tex]169.83+23.31=193.14[/tex]≅193.1
- See the picture attached to see en detail the decomposition of the figure into a triangle and a rectangle.
