1. What is a Parallelogram?

A parallelogram is a quadrilateral with opposite sides parallel and equal in length. Opposite angles are also equal, and consecutive angles are supplementary (add to 180°).

2. How Does the Calculator Work?

The calculator uses these parallelogram formulas:

Where:

• \( A \) — Area (square length units)
• \( base \) — Length of the base
• \( height \) — Perpendicular height
• \( P \) — Perimeter (length units)
• \( a \) and \( b \) — Lengths of adjacent sides

Explanation: The area is calculated by multiplying base by height (perpendicular distance between bases). The perimeter is the sum of all sides.

3. Importance of Parallelogram Calculations

Details: These calculations are fundamental in geometry, architecture, engineering, and design. They help in determining space requirements and material quantities.

4. Using the Calculator

Tips: Enter base, height, and both side lengths in consistent units. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between base and side length?
A: Base is one chosen parallel side, while side lengths are the adjacent non-parallel sides.

Q2: How is height different from side length?
A: Height is the perpendicular distance between bases, not necessarily equal to side length.

Q3: Can I use this for rectangles?
A: Yes, rectangles are special parallelograms with right angles.

Q4: What units should I use?
A: Any consistent length unit (meters, feet, etc.), but all inputs must use the same unit.

Q5: How to find height if only area and base are known?
A: Rearrange the area formula: height = area ÷ base.