Explanation:

To find the area of the trapezium, we use the formula:

$$ \text{Area} = \frac{1}{2} \times (\text{Base}_1 + \text{Base}_2) \times \text{Height} $$

- Base\(_1\): 15 cm (one parallel side)

- Base\(_2\): 20 cm (other parallel side)

- Height: 12 cm (distance between the parallel sides)

Calculating the area:

$$ \text{Area} = \frac{1}{2} \times (15 + 20) \times 12 $$

$$ \text{Area} = \frac{1}{2} \times 35 \times 12 $$

$$ \text{Area} = \frac{1}{2} \times 420 $$

$$ \text{Area} = 210 \, \text{cm}^2 $$

- Option 1: 360 cm²

- Option 2: 280 cm²

- Option 3: 120 cm²

- Option 4: 210 cm²