Answer:
161 [tex]m^2[/tex]
Step-by-step explanation:
Divide the given figure up into smaller pieces, calculate the area of each of the smaller pieces and add up the area to find the total area of the figure. One can partition the figure into two rectangles with dimensions (14 by 8) and (13 by 3) respectively, and a (4 by 5) triangle.
The formula for the area of a rectangle is (base * height), substitute in the given values,
14 * 8 = 112
13 * 3 = 39
The formula for the area of a triangle is ([tex]\frac{(base)*(height)}{2}[/tex]), substitute in the given values and solve,
[tex]\frac{(5)*(4)}{2}[/tex] = 10
Now add up all the values to find the total area of the figure,
112 + 39 + 10 = 161
