Respuesta :

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]
Ver imagen jdoe0001

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