To find the area of a trapezoid, we can use the formula:
\[ A = \frac{(B^1 + B^2)}{2} \times H \]
where \(B^1\) and \(B^2\) are the lengths of the two bases of the trapezoid, and \(H\) is the height.
From the given dimensions, we can interpret the values (15 cm, 9 cm, and 13 cm) as follows:
- Let's assume \(B^1 = 15 , \text{cm}\), \(B^2 = 9 , \text{cm}\), and \(H = 13 , \text{cm}\).
Now, we can plug these values into the formula:
\[ A = \frac{(15 + 9)}{2} \times 13 \]
Calculating the bases:
\[ A = \frac{24}{2} \times 13 \]
\[ A = 12 \times 13 \]
\[ A = 156 , \text{cm}^2 \]
Thus, the area of the trapezoid is:
\[ A = 156 , \text{cm}^2 \]