Find the base of the trapezoid if the other base is 14dm, the height is 16dm, and the area of the trapezoid is 184dm2.

Let us determine what the half-sum of the bases of the conditional trapezium will equal, because in this case we know, in accordance with the available data in the condition of our problem, that with a height of 16 decimeters its area is 184 dm2:

184: 16 = 11.5.

Let us determine what the second base of the trapezoid will be equal to, because in this case we know, in accordance with the available data in the condition of our problem, that the first is 14 decimeters:

11.5 * 2 – 14 = 9.

Answer: The unknown base is 9 decimetres.