Rhombus Formula
The rhombus formula is used to find the formulas associated with a rhombus. All four sides of a rhombus are equal thus it is also called an equilateral quadrilateral. The area of a rhombus is described as the twodimensional space covered by the rhombus. Let us learn about the area of a rhombus formula with a few solved examples in the end.
What Is the Rhombus Formula?
To find the area of a rhombus, we find the total area enclosed by a rhombus. The area of the rhombus can be calculated by the following rhombus formulas:
Base area and height = B × H
Length of the diagonals = 1/2 × d_{1} × d_{2}
Interior angles = b^{2} × sin a
where,
 d_{1} and d_{2 }are the diagonals,
 B is the base area,
 H is the height of the rhombus,
 b is the length of the side of the rhombus,
 a is the interior angle
Let us understand the rhombus formula better using a few solved examples.
Solved Examples Using Rhombus Formula

Example 1: Find the area of the rhombus of diagonal lengths 10 and 8 units using the rhombus formula.
Solution:
To find:
Area of the rhombus.
Using the rhombus formula,
Area of the rhombus = 1/2 × d_{1} × d_{2}
Area of the rhombus = 1/2 × 10 × 8
Area of the rhombus = 40
Answer: The area of the rhombus is 40 unit squares.

Example 2: Find the area of the rhombus with an interior angle of 30 degrees and length of the side 5in.
Solution:
To find: Area of the rhombus.
Interior angle(a) = 30 degrees, side length = 5 in.
Using the rhombus formula,
Area of the rhombus = b^{2} × sin a
Area of the rhombus = 5^{2} × sin 30
Area of the rhombus = 25 × 1/2
Area of the rhombus = 12.5
Answer: The area of the rhombus is 12.5 unit inches.