Find the area of the trapezoid if its height is 16 cm and the base is 49 and 24 cm.

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.

One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.