A rhombus is a quadrilateral having all sides with unequal diagonals, which bisect each other.

** Note: **If a square is pressed from two opposite corners, the rhombus is formed.

Let be a rhombus then its area can be evaluated in two ways:

**(1) When one side and the include angle is given:**

Let one side be equal to with include angle . Since, the diagonal divides the rhombus into two equal triangle, therefore

Area of the rhombus

Area of the rhombus

Area of the rhombus

**(2) When two diagonal are given:**

Let and be the length of the diagonal and respectively and since, the rhombus is divided into four equal triangles, therefore

Area of the rhombus

Area of the rhombus

Area of the rhombus

__Example__:

The length of each side of a rhombus is cm and two of its opposite angles are each. Find the area.

__Solution__:

Given that each side, and

Area of the rhombus

Area of the rhombus square cm

__Example__:

The diagonal of a rhombus are m and m. Find its area.

__Solution__:

Given that diagonal are m and m

Area of the rhombus Square m