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In this lesson, we will learn different formulas that can be used to calculate the area of a rhombus when we are### Area of Rhombus

### Given Side and Height

### Given lengths of Diagonals

### Given a Side and an Angle

### Problems using area of rhombus

More Lessons for Algebra

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In this lesson, we will learn different formulas that can be used to calculate the area of a rhombus when we are

- given a side and height
- given lengths of the diagonals
- given a side and an angle

A rhombus has four equal sides and its diagonals bisect each other at right angles.

The following diagram shows how to find the area of a rhombus, given the lengths of the diagonals, or given the side and height, or given the side and an angle. Scroll down the page for more examples and solutions on finding the area of a rhombus.If you are given the length of one side (*s*) and the perpendicular height (*h*) from one side to the vertex then the area of the rhombus is equal to the product of the side and height.

The area of the rhombus is given by the formula:

**Area of rhombus = sh**

This formula for the area of a rhombus is similar to the area formula for a parallelogram.

We can also obtain the area of a rhombus, given the lengths of its diagonals. The area of a rhombus is half the product of its diagonals.

If the lengths of the diagonals are * a* and

**Area of rhombus =**

When given any side and any angle, the area of the rhombus is equal to product of the side squared and the sine of the angle.

Area of rhombus = *s*^{2} sin* a*

where *s* is the length of any side and *a* is any interior angle.

We can use any angle because either the angles are equal or they are supplementary, and supplementary angles have the same sine.

The following video shows a problem involving the area of a rhombus.

The area of a rhombus is 16 cm^{2}. If one diagonal has a length of 3 cm. Find the length of the other diagonal

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