Answer: 10 units²
Step-by-step explanation:
We can divide the shape along the y-axis to get 2 separate triangles. If we find the area of each and add them up, we can get the total area of the figure.
We can get each triangle's area using the formula [tex]A = \frac{1}{2}bh[/tex]
Left Triangle
base length - 4 units
height - 4 units
[tex]A = \frac{1}{2}(4)(4)[/tex]
[tex]A=\frac{1}{2}(16)[/tex]
[tex]A =8\hspace{0.1cm}units^2[/tex]
Right Triangle
base length - 2 units
height - 2 units
[tex]A = \frac{1}{2}(2)(2)[/tex]
[tex]A=\frac{1}{2}(4)[/tex]
[tex]A=2\hspace{0.1cm}units^2[/tex]
Total = 8 units² + 2 units² = 10 units²
