Calculate Trapezoid Area: Finding Area with Bases 5cm, 3cm and Height h

Let's calculate the area of trapezoid $ABCD$:

The formula for the area of a trapezoid is:

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

In this trapezoid, we have:

• $\text{Base}_1 = AB = 5$ cm
• $\text{Base}_2 = DC = 3$ cm
• $\text{Height} = h$

Substituting these into the formula, we get:

$\text{Area} = \frac{1}{2} \times (5 + 3) \times h$

Simplify the calculation:

$\text{Area} = \frac{1}{2} \times 8 \times h = 4h$

Thus, the area of the trapezoid is $4h$ square centimeters.