To find the area of the trapezoid, you need two bases and the height. However, the dimensions given (2 cm, 7 cm, and 16 cm) do not specify which are the bases and what the height is. In a trapezoid, the two bases are usually the parallel sides, and the height is the perpendicular distance between these bases.
Assuming:
- Base 1 = 2 cm
- Base 2 = 7 cm
- Height = 16 cm
Using the area formula for a trapezoid:
\[ \text{Area} = \frac{(Base¹ + Base²)}{2} \times Height \]
Substituting the values:
\[ \text{Area} = \frac{(2 , \text{cm} + 7 , \text{cm})}{2} \times 16 , \text{cm} \] \[ = \frac{9 , \text{cm}}{2} \times 16 , \text{cm} \] \[ = 4.5 , \text{cm} \times 16 , \text{cm} \] \[ = 72 , \text{cm}² \]
Thus, the area of the trapezoid is:
\[ \boxed{72 , \text{cm}²} \]