The height of the trapezium is 2 times the smaller base. find the area of the trapezoid

The height of the trapezium is 2 times the smaller base. find the area of the trapezoid if its smaller base is 2 cm, the larger base is 14 cm.

Let’s calculate the height of this trapezoid if it is 2 times longer than its smaller base:

2 * 2 = 4 cm.

Let’s use the formula to find the area of the trapezoid:

S = h * (a + b) / 2,

h – trapezoid height,

a and b are the bases of the trapezoid.

We calculate the area of this trapezoid, substituting all known data:

4 * (2 + 14) / 2 = 4 * 8 = 32 cm2.

Answer: the area of this trapezoid is 32 cm2.