# What is the area of a rhombus?

A rhombus is a 2-dimensional figure with equal sides but not equal angles.

## Answer: The area of a rhombus is 1/2 × (product of the length of diagonals).

Let's understand the terms involved in detail.

**Explanation:**

The area of a rhombus is equivalent to 4 × (the area of the right-angled triangle with semi diagonals as it sides)

Area of rhombus ABCD = 4 × (the area of the right-angled triangle OAB)

⇒Area of rhombus ABCD = 4 × (1/2 × OA × OB )

⇒Area of rhombus ABCD = 4 × (1/2) × (1/2 AC) × (1/2 BD)

⇒Area of rhombus ABCD = (4 × 1/2 × 1/2 × 1/2 ) × AC × BD

⇒Area of rhombus ABCD = (1/2) × AC × BD, where AC and BD are diagonals of the rhombus ABCD

⇒Area of rhombus ABCD = (1/2) p × q, where p and q are the lengths of diagonals