To find the area of a trapezoid using the formula:
\[ \text{Area} = \frac{(Base_1 + Base_2)}{2} \times Height \]
we need to identify the two bases and the height. Given:
- Base 1 (Base_1) = 7 cm
- Base 2 (Base_2) = 2 cm
- Height = 16 cm
Now, we can plug these values into the formula:
\[ \text{Area} = \frac{(7 , \text{cm} + 2 , \text{cm})}{2} \times 16 , \text{cm} \]
Calculating the sum of the bases:
\[ 7 + 2 = 9 , \text{cm} \]
Now substitute into the area formula:
\[ \text{Area} = \frac{9 , \text{cm}}{2} \times 16 , \text{cm} \]
\[ = 4.5 , \text{cm} \times 16 , \text{cm} \]
\[ = 72 , \text{cm}^2 \]
Thus, the area of the trapezoid is
\[ \boxed{72} , \text{cm}^2 \]