the figure is really just 3 triangles and 1 rectangle, as you see in the picture below.
notice the blue triangle has a base of 3 and a height of 2,
the green triangle has a base of 6 and a height of 1,
the yellow triangle has a base of 2 and a height of 6,
and the rectangle is a 7x6 rectangle.
we can simply get the area of each and sum them up, that's the area of the figure.
[tex]\bf \stackrel{\textit{blue triangle}}{\frac{1}{2}(3)(2)}~~~~+~~~~\stackrel{\textit{green triangle}}{\frac{1}{2}(6)(1)}~~~~+~~~~\stackrel{\textit{yellow triangle}}{\frac{1}{2}(2)(6)}~~~~+~~~~\stackrel{\textit{rectangle}}{7\cdot 6}[/tex]
