# Intermediate Geometry : How to find the perimeter of a rhombus

## Example Questions

### Example Question #21 : Rhombuses

A rhombus has an area of  square units, an altitude of . Find the perimeter of the rhombus.

Explanation:

In order to solve this problem, use the given information to work backwards to find a side length of the rhombus:

Then apply the perimeter formula:

, where  is equal to the length of one side of the rhombus.

The solution is:

### Example Question #22 : Rhombuses

A rhombus has an area of  square units and an altitude of . Find the perimeter of the rhombus.

Explanation:

In order to solve this problem, use the given information to work backwards to find a side length of the rhombus:

Then apply the perimeter formula:

, where  the length of one side of the rhombus.

### Example Question #23 : Rhombuses

Given that a rhombus has an area of  square units and an altitude of , find the perimeter of the rhombus.

Explanation:

In order to solve this problem, use the given information to work backwards to find a side length of the rhombus:

Then apply the formula: , where

### Example Question #21 : Rhombuses

A rhombus has an area of  square units and an altitude of , find the perimeter of the rhombus.

Explanation:

In order to solve this problem, use the given information to work backwards to find a side length of the rhombus:

Then apply the formula: , where

### Example Question #25 : Rhombuses

Find the perimeter of a rhombus if it has diagonals of the following lengths:  and .

Explanation:

Recall that the diagonals of a rhombus bisect each other and are perpendicular to one another.

In order to find the length of the side, we can use Pythagorean's theorem. The lengths of half of the diagonals are the legs, and the length of the side of the rhombus is the hypotenuse.

First, find the lengths of half of the diagonals.

Next, substitute these half diagonals as the legs in a right triangle using the Pythagorean theorem.

Since the sides of a rhombus all have the same length, multiply the side length by  in order to find the perimeter.

Solve and round to two decimal places.

### Example Question #26 : Rhombuses

Find the perimeter of a rhombus if it has diagonals of the following lengths:  and

Explanation:

Recall that the diagonals of a rhombus bisect each other and are perpendicular to one another.

In order to find the length of the side, we can use Pythagorean's theorem. The lengths of half of the diagonals are the legs, and the length of the side of the rhombus is the hypotenuse.

First, find the lengths of half of the diagonals.

Next, substitute these half diagonals as the legs in a right triangle using the Pythagorean theorem.

Since the sides of a rhombus all have the same length, multiply the side length by  in order to find the perimeter.

Solve and round to two decimal places.

### Example Question #27 : Rhombuses

Find the perimeter of a rhombus if it has diagonals of the following lengths:  and .

Explanation:

Recall that the diagonals of a rhombus bisect each other and are perpendicular to one another.

In order to find the length of the side, we can use Pythagorean's theorem. The lengths of half of the diagonals are the legs, and the length of the side of the rhombus is the hypotenuse.

First, find the lengths of half of the diagonals.

Next, substitute these half diagonals as the legs in a right triangle using the Pythagorean theorem.

Since the sides of a rhombus all have the same length, multiply the side length by  in order to find the perimeter.

Solve and round to two decimal places.

### Example Question #28 : Rhombuses

Find the perimeter of a rhombus if it has diagonals of the following lengths:  and .

Cannot be determined

Explanation:

Recall that the diagonals of a rhombus bisect each other and are perpendicular to one another.

In order to find the length of the side, we can use Pythagorean's theorem. The lengths of half of the diagonals are the legs, and the length of the side of the rhombus is the hypotenuse.

First, find the lengths of half of the diagonals.

Next, substitute these half diagonals as the legs in a right triangle using the Pythagorean theorem.

Since the sides of a rhombus all have the same length, multiply the side length by  in order to find the perimeter.

Solve.

### Example Question #29 : Rhombuses

Find the perimeter of a rhombus if it has diagonals of the following lengths:  and .

Explanation:

Recall that the diagonals of a rhombus bisect each other and are perpendicular to one another.

In order to find the length of the side, we can use Pythagorean's theorem. The lengths of half of the diagonals are the legs, and the length of the side of the rhombus is the hypotenuse.

First, find the lengths of half of the diagonals.

Next, substitute these half diagonals as the legs in a right triangle using the Pythagorean theorem.

Since the sides of a rhombus all have the same length, multiply the side length by  in order to find the perimeter.

Solve and round to two decimal places.

### Example Question #11 : How To Find The Perimeter Of A Rhombus

Find the perimeter of a rhombus if it has diagonals of the following lengths:  and .

Explanation:

Recall that the diagonals of a rhombus bisect each other and are perpendicular to one another.

In order to find the length of the side, we can use Pythagorean's theorem. The lengths of half of the diagonals are the legs, and the length of the side of the rhombus is the hypotenuse.

First, find the lengths of half of the diagonals.

Next, substitute these half diagonals as the legs in a right triangle using the Pythagorean theorem.

Since the sides of a rhombus all have the same length, multiply the side length by  in order to find the perimeter.

Solve and round to two decimal places.