Answer:
113 cm²
Explanation:
You want the area of the given composite shape.
Composition
The shape is already divided for you into a lower part that is a trapezoid and an upper part that is a parallelogram.
Trapezoid
The area of the trapezoid is given by ...
A = 1/2(b1 +b2)h
A = 1/2(14 +7)(6) = 63 . . . . square centimeters
Parallelogram
The area of the parallelogram is given by ...
A = bh
A = (10)(5) = 50 . . . . square centimeters
Figure area
The area of the figure is the sum of the areas of its parts:
figure area = trapezoid area + parallelogram area
figure area = 63 cm² +50 cm² = 113 cm²
The area of the figure is 113 square centimeters.
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