To calculate the area of a given trapezoid, we can use the following formula:
S = h * (a + b) / 2,
where S is the area of the trapezoid, h is the height of the trapezoid, and a and b are the base of the trapezoid.
According to the condition of the problem, the height of this trapezoid is 16 cm, and the lengths of the bases of this trapezoid are 49 cm and 24 cm, therefore, the area of this trapezoid is:
S = 16 * (49 + 24) / 2 = 16 * 73/2 = 8 * 73 = 584 cm ^ 2.
Answer: the area of this trapezoid is 584 cm ^ 2.
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