Answer:
(c) 416 cm²
Explanation:
The area of a trapezoid is given by the formula ...
A = 1/2(b1 +b2)h
where b1 and b2 are the lengths of the parallel bases, and h is the perpendicular distance between them.
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Using the given dimensions, the area is found to be ...
A = 1/2(14 cm +38 cm)(16 cm) = (1/2)(52 cm)(16 cm) = 416 cm²
The area of the figure is 416 cm².