Calculate Trapezoid Area: 12 and 6 Unit Parallel Bases with 4 Unit Height

The area of a trapezoid is calculated using the formula:

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

Given:

• $\text{Base}_{1} = AB = 12$ units
• $\text{Base}_{2} = CD = 6$ units
• $\text{Height} = h = 4$ units

Plug these values into the formula:

$\text{Area} = \frac{1}{2} \times (12 + 6) \times 4$

Calculate the sum of the bases:

$12 + 6 = 18$

Multiply by the height and divide by 2:

$\text{Area} = \frac{1}{2} \times 18 \times 4$

$\text{Area} = 36$ square units

Therefore, the area of the trapezoid is $\mathbf{36}$ cm².