The area of the trapezoid is 32cm2, and its height is 8cm. Find the trapezoid stems if one is 4cm smaller than the other.

The area of the trapezoid is found by the formula

S = h * (a + b) / 2, where h is the height of the trapezoid, a and b are the length of the bases.

By the statement of the problem, the base a is 4 cm larger than b. a = b + 4

32 = 8 * (b + 4 + b) / 2 = 4 * (2 * b + 4);

2 * b + 4 = 8;

2 * b = 4;

b = 2 cm;

a = 2 + 4 = 6 cm.

Answer: The base of the trapezoid is 2 and 6 cm.