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Area of a rhombus

Multiply the two diagonals and divide by 2: a rhombus with diagonals of 6 m and 4 m has an area of 6 × 4 ÷ 2 = 12 m². If you know the base and height, the area is their product.

Room
What you know

Result

Room, inside the walls

12 m²

Perimeter

14.42 m

Square feet

129.2 sq ft
Draw this room

Opens the Squaremetry editor with this size: the room measures exactly the same there.

By the Squaremetry team · Updated · 2 min read · How we calculate

Area of a rhombus: in short

Multiply the two diagonals and divide by 2: a rhombus with diagonals of 6 m and 4 m has an area of 6 × 4 ÷ 2 = 12 m². If you know the base and height, the area is their product.

The formulas

long diagonal 6 m short diagonal 4 m 12 m²
long diagonal 6 m, short diagonal 4 m: 6 × 4 ÷ 2 = 12 m²

Area = long diagonal × short diagonal ÷ 2. With a base b and height h the area is b × h, because a rhombus is a parallelogram with four equal sides. The diagonals cross at right angles and cut each other in half.

Examples from the diagonals

Long diagonalShort diagonalAreaSide
4 m2 m4 m²2.24 m
5 m3 m7.5 m²2.92 m
6 m4 m12 m²3.61 m
8 m6 m24 m²5 m
10 m8 m40 m²6.4 m

The side and the perimeter

The side is the square root of (d ÷ 2)² + (e ÷ 2)²: with diagonals of 6 and 4 m it is 3.61 m, and the perimeter (4 sides) is 14.42 m.

Rhombus shapes at home

A floor with diamond tiles, a flower bed or a deck with cut corners all take this shape. Measure the two diagonals from corner to corner; in the editor you can draw the rhombus with those lengths.

LIVING16.2 m²KITCHEN10.8 m²BATH5 m²HALL5.5 m² 7.5 m 5 m 37.5 m²

Figure 1. One floor of 7.5 × 5 m. The rooms add up to 37.5 m².

About this page · Written by the Squaremetry team. Last checked on 7 October 2026. Found a mistake? Send us a message.

Questions

Questions

About area of a rhombus. Can’t find your answer? Send us a message.

How do you find the area of a rhombus from the diagonals?

Half the product of the diagonals. Diagonals of 8 and 6 m give 24 m².

And with a base and a height?

Multiply them, as for a parallelogram: a base of 4 m and a height of 3 m give 12 m².

Is a square a rhombus?

Yes: a rhombus with four right angles. Its diagonals are equal.

Related guides

  • Area of a rectangle

    Length times width, with the perimeter and a table of rooms.

    Read the guide →
  • Area of a trapezium

    The two parallel sides averaged, times the height.

    Read the guide →
  • Square footage of a triangle

    Base times height divided by 2, with worked examples.

    Read the guide →
  • Square metre calculator

    Square metres room by room, with the total and sq ft.

    Read the guide →

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