In the trapezoid, the bases are 6cm and 10cm, and the height is equal to the strip of the sum

In the trapezoid, the bases are 6cm and 10cm, and the height is equal to the strip of the sum of the lengths of the bases. Find an area?

The area of the trapezoid is equal to the product of the half-sum of its bases by the height:

S = (ВС + АD) / 2 ВН.

Since the height of this trapezoid in length is also equal to the half-sum of its bases, this formula can be produced as follows:

S = ((BC + AD) / 2) ^ 2;

S = ((6 + 10) / 2) ^ 2 = 82 = 64 cm2.

Answer: the area of the trapezoid is 64 cm2.