Answer:
96m²
Step-by-step explanation:
Hello there!
The figure shown is an irregular figure so to make it easier we are going to split the irregular figure into two regular figures
A triangle with a height of 6 m and a base of 12 m
and a parallelogram with a base of 10m and a height of 6m
Now lets find the area of each individual shape
For the triangle:
The area of a triangle can be calculated using this formula
where b = base and h = height
Knowing the base and height all we have to do is plug in the values into the formula
![A=\frac{6*12}{2} \\6*12=72\\\frac{72}{2} =36](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B6%2A12%7D%7B2%7D%20%5C%5C6%2A12%3D72%5C%5C%5Cfrac%7B72%7D%7B2%7D%20%3D36)
so we can conclude that the area of the triangle is 36 m²
Now lets find the area of the parallelogram
The area of a parallelogram can simply be found my multiplying the base and height
so A = 10 * 6
10 * 6 = 60
so the area of the parallelogram is 60 m²
Finally we add the two areas together
60 + 36 = 96m²
Thus the area of the irregular figure is 96m²