To find the area of the trapezoid, we need to identify the lengths of the bases (B¹ and B²) and the height (H).
From the dimensions you provided, we will assume:
- \( B¹ = 5 , \text{cm} \)
- \( B² = 19 , \text{cm} \)
- \( H = 27 , \text{cm} \)
Now we can calculate the area using the formula for the area of a trapezoid:
\[ \text{Area} = \frac{(B¹ + B²)}{2} \times H \]
Substituting the values in:
\[ \text{Area} = \frac{(5 , \text{cm} + 19 , \text{cm})}{2} \times 27 , \text{cm} \]
Calculating the bases:
\[ = \frac{24 , \text{cm}}{2} \times 27 , \text{cm} \] \[ = 12 , \text{cm} \times 27 , \text{cm} \] \[ = 324 , \text{cm}^2 \]
Therefore, the area \( a \) of the trapezoid is:
\[ a = 324 , \text{cm}^2 \]