# What is the area of a rhombus?

**Solution:**

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

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

Thus, the area of a rhombus is 1/2 × (product of the length of diagonals) denoted by pq/2.

## What is the area of a rhombus?

**Summary:**

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

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