Parallelogram Area Calculator Formula

Understand the math behind the parallelogram area calculator. Each variable explained with a worked example.

Formulas Used

Area

area = base_val * h

Perimeter

perimeter = 2 * (base_val + side_val)

Variables

VariableDescriptionDefault
base_valBase8
hHeight5
side_valSide Length6

How It Works

Parallelogram Area

Formula

Area = base × height

Perimeter = 2 × (base + side)

The height is the perpendicular distance between the two parallel bases, not the slant side length.

Worked Example

Parallelogram with base 8, height 5, and side 6.

base_val = 8h = 5side_val = 6
  1. 01Area = 8 × 5 = 40
  2. 02Perimeter = 2 × (8 + 6) = 28

Frequently Asked Questions

What is a parallelogram?

A parallelogram is a quadrilateral with two pairs of parallel sides. Opposite sides are equal in length and opposite angles are equal.

Is a rectangle a parallelogram?

Yes, a rectangle is a special case of a parallelogram where all angles are 90 degrees.

How is the height different from the side?

The height is the perpendicular distance between the bases, while the side is the slanted edge. The height is always shorter than or equal to the side.

Learn More

Guide

How to Calculate Area of Shapes - Complete Guide

Learn how to calculate the area of common shapes including rectangles, triangles, circles, trapezoids, parallelograms, and ellipses with formulas and examples.

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