Answer:
80 square units
Step-by-step explanation:
The area of the figure can be found by decomposing into parts whose area is easy to find, then adding the areas of those parts.
We choose to consider the figure to be composed of two congruent trapezoids and a rectangle.
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Trapezoid area
Each trapezoid has bases of 6 units and 10 units, and a height of 2 units. Its area will be ...
A = 1/2(b1 +b2)h
A = 1/2(6 +10)(2) = 16 . . . . square units
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Rectangle area
The central rectangle has dimensions of 6 units by 8 units. Its area will be ...
A = LW
A = (8)(6) = 48 . . . . square unit
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Total area
The total area is the sum of the areas of the two trapezoids and the rectangle:
total area = 2(16) +48 = 80 . . . . square units
