What is the formula for the area of a rhombus using diagonals?

Area = (d1 × d2) / 2, where d1 and d2 are the lengths of the two diagonals. The diagonals of a rhombus bisect each other at right angles, which is why this formula works.

What is the formula using base and height?

Area = base × height, where the height is the perpendicular distance between two opposite sides (not the slant side length).

Does it matter which diagonal I call d1 and which d2?

No. Because multiplication is commutative, d1 × d2 = d2 × d1, so you can assign the labels in either order.

Can I use different units for each input?

No — both inputs must use the same unit. The result will be in the square of that unit (e.g., cm gives cm²).

Is a square a special case of a rhombus?

Yes. A square is a rhombus with equal diagonals (d1 = d2) and right angles at every vertex. The area formulas apply equally.

How is a rhombus different from a parallelogram?

A rhombus is a parallelogram with all four sides equal in length. Every rhombus is a parallelogram, but not every parallelogram is a rhombus.

Area of a Rhombus Calculator

Name: Area of a Rhombus Calculator
Availability: InStock
Author: Nham Vu

Enter the diagonals or base and height of a rhombus to instantly calculate its area with the formula and working shown.

Calculator Inputs

Diagonal 1 (d₁)

Diagonal 2 (d₂)

Unit

Area

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Enter values and click Calculate

Rhombus diagram

Diagonals bisect each other at right angles

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Summary

Enter the diagonals or base and height of a rhombus to instantly calculate its area with the formula and working shown.

How it works

Choose a calculation method: diagonals or base and height.
Enter the values in the input fields (any unit — cm, m, in, ft).
The area is calculated instantly using the selected formula.
The step-by-step working is displayed below the result.
Switch between methods at any time without losing your inputs.

Use cases

Homework and exam problems involving rhombus geometry.
Architecture and design work with diamond-shaped tiles or panels.
Engineering drawings that include rhombus cross-sections.
Verifying manual calculations quickly.
Teaching the two different rhombus area formulas side by side.
Calculating fabric or material needed for diamond-shaped cuts.

Frequently Asked Questions

Related tools

Perimeter Of Parallelogram Perimeter Of Rectangle

Last updated: 2026-05-23 · Reviewed by Nham Vu