Answer:
54 square units
Step-by-step explanation:
A line (red in the attachment) can divide the figure into two triangles and a trapezoid. The formulas for the areas of these are ...
area of a triangle = (1/2)bh . . . . . where b is the base and h is the height
The triangle on the upper left has a base of 3 and a height of 2, so an area of ...
upper left triangle area = (1/2)(3)(2) = 3 square units . . . . area shown in red
The triangle on the upper right has a base of 6 and a height of 1, so an area of ...
upper right triangle area = (1/2)(6)(1) = 3 square units . . . . area shown in yellow
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The formula for the area of a trapezoid is ...
area of a trapezoid = (1/2)(b1 +b2)h . . . . where b1 and b2 are the lengths of the parallel bases, and h is the height
The trapezoid has an upper base length of 9 and a lower base length of 7, and a height of 6, so its area is ...
area of bottom trapezoid = (1/2)(9 + 7)(6) = 48 square units . . . . area shown in green
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Then the total area of the figure is the sum of the areas of its non-overlapping parts:
total area = upper left triangle area + upper right triangle area + trapezoid area
= (3 + 3 + 48) square units = 54 square units
