Parallelogram Calculator

Parallelogram Diagram
Base: 0 Height: 0 Side: 0 Area = base × height Perimeter = 2(base + side)

Parallelogram Calculator

What is a Parallelogram?

A parallelogram is a four-sided polygon (quadrilateral) with opposite sides that are parallel and equal in length.

Formulas for Parallelograms

Let \(b\) be the base, \(h\) be the height, and \(s\) be the side. Then:

  1. Area: \(A = b \times h\)
  2. Perimeter: \(P = 2(b + s)\)

Step-by-Step Calculations

Let's calculate these properties for a parallelogram with base \(b = 5\) units, height \(h = 3\) units, and side \(s = 4\) units:

  1. Area: \[A = b \times h = 5 \times 3 = 15 \text{ square units}\]
  2. Perimeter: \[P = 2(b + s) = 2(5 + 4) = 18 \text{ units}\]

Visual Representation

Base = 5 units Height = 3 units Side = 4 units Area = base × height = 5 × 3 = 15 square units Perimeter = 2(base + side) = 2(5 + 4) = 18 units

This diagram illustrates the parallelogram with the calculated dimensions and properties.