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

Given:
trapezoid,
a = 14 dm,
h = 16 dm,
S = 184 dm2.
Find:
b-?
Solution:
S = (a + b) / 2 * h.
(a + b) / 2 = S / h;
(a * h + b * h) / 2h = 2S / 2h;
a * h + d * h = 2S;
b * h = 2 * S-a * h;
b = (2 * S-a * h) / h.
b = (2 * 184-14 * 16) / 16;
b = (368-224) / 16;
b = 9 (dm).
Answer: 9 inches is the second base of the trapezoid.