Rhombus Area Calculator

Whether you’re revisiting geometry basics, helping a student with homework, or tackling a hands-on project, understanding how to find the area of a rhombus is easier than you might think—and more useful than it seems.

Want to learn more about other shapes? Try our full collection of Area Calculators.

What Is Rhombus Area?

The word rhombus might stir up memories of math class, somewhere in between studying triangles and trapezoids. But the area of a rhombus isn’t just another equation to memorize for exams—it’s a functional concept that appears in real-life situations more often than expected.

A rhombus is a unique type of quadrilateral where all four sides are equal in length, and opposite angles are the same. Think of it like a tilted square or a diamond that’s been slightly stretched. What makes it different from a square is that its corners don’t have to be right angles.

Try out Sector Area Calculator

Rhombus Area Formula

There are two simple ways to find the area of a rhombus, depending on what measurements you have. Both are easy once you know what to look for.

Method 1: Using the Diagonals

If you know the lengths of the diagonals — the lines that cross inside the rhombus from corner to opposite corner — then the formula is:

Area = ½ × (d₁ × d₂)

Where:

• d₁ is the length of the first diagonal

• d₂ is the length of the second diagonal

This works because a rhombus can be split into four right triangles, and this method adds up the area of all four.

Example:
If one diagonal is 8 cm and the other is 6 cm:
→ Area = (8 × 6) / 2 = 24 cm²

Method 2: Using Base and Height

If you’re given the base (a side of the rhombus) and the height (the perpendicular distance to the opposite side), use:

Area = Base × Height 

It’s the same formula used for parallelograms. Just make sure the height forms a 90-degree angle with the base.

Example:
If the base is 5 m and the height is 3 m:
→ Area = 5 × 3 = 15 m²

Try out Semicircle Area Calculator

Rhombus in Ancient Civilizations

Geometry might feel like a subject born in the modern classroom, but humans have been applying its principles for thousands of years—well before textbooks or digital tools came along. One shape that quietly held its ground through time? The rhombus.

Wander through the ancient city of Pompeii, or examine the intricate flooring of Roman villas, and you’ll spot rhombus shapes embedded in tile mosaics. These designs weren’t just for decoration. Ancient architects recognized the rhombus’s usefulness: it filled space efficiently, supported repetitive patterns, and added a dynamic sense of motion to flat surfaces.

Go back even further to ancient Greece, where the word rhombos originally described a spinning object—possibly referencing how the shape seems to rotate depending on its orientation. Eventually, this term found a home in the world of geometry, defining this distinctive quadrilateral.

The rhombus’s influence didn’t stop with the Greeks or Romans. It carried forward into Islamic art and architecture, where geometric balance was deeply tied to spiritual meaning. In tiled walls, carved woodwork, and decorative domes, the rhombus played a central role, valued for both its symmetry and symbolism.