Calculate Parallelogram Height AE: Given Area 82 cm² and Base 4 cm

In the diagram, AE is perpendicular to DC, making it the height. The height of a parallelogram is always the perpendicular distance between parallel sides, not a slanted side.

Yes! But once you choose a base, the height must be perpendicular to that base. In this problem, DC = 4 cm is given as the base, so AE (perpendicular to DC) is the height.

The fraction $20\frac{1}{2}$ means 20.5 or twenty and a half. It's the same as $\frac{41}{2}$ centimeters - all three forms are correct!

For parallelograms, always use $\text{Area} = \text{base} \times \text{height}$. This is different from triangles which use $\frac{1}{2} \times \text{base} \times \text{height}$.

Mathematical answers can be decimals or fractions! When 82 ÷ 4 = 20.5, this is the exact correct answer. Don't round unless the problem specifically asks for it.