Intermediate Geometry : How to find the length of the side of a rhombus

Study concepts, example questions & explanations for Intermediate Geometry

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Example Questions

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Example Question #218 : Plane Geometry

If a rhombus has a base that is  times greater than the height and the height of the rhombus is equal to , find the length of one side of the rhombus.  

Possible Answers:

Correct answer:

Explanation:

To find the length of a side of the rhombus, multiply  times 

Thus, the solution is:

Example Question #221 : Plane Geometry

Given that a rhombus has a perimeter of , find the length of one side of the rhombus. 

Possible Answers:

Correct answer:

Explanation:

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

Since , we can set up the following equation and solve for .



Example Question #52 : Rhombuses

A rhombus has an area of  square units and a height of . Find the length of one side of the rhombus. 

Possible Answers:

Correct answer:

Explanation:

To find the length of a side of the rhombus, work backwards using the formula: 

Since we are given the area and the height we plug these values in and solve for the base.



Example Question #222 : Plane Geometry

A rhombus has an area of  square units, and a height of . Find the length of one side of the rhombus. 

Possible Answers:

Correct answer:

Explanation:

To find the length of a side of the rhombus, work backwards using the area formula: 

Since we are given the area and the height we plug these values in and solve for the base.



Example Question #223 : Plane Geometry

A rhombus has a perimeter of . Find the length of one side of the rhombus. 

Possible Answers:

Correct answer:

Explanation:

To solve for the length of one side of the rhombus, apply the perimeter formula:

 the length of one side of the rhombus. 

Since we are given the area we plug this value in and solve for .



Example Question #224 : Plane Geometry

A rhombus has an area of  square units, and an altitude of . Find the length of one side of the rhombus. 

Possible Answers:

Correct answer:

Explanation:

Since the area is equal to  square units, use the formula: 


Since we are given the area and the height, we plug these values in and solve for the base.



Example Question #56 : Rhombuses

The perimeter of a rhombus is equal to . Find the length of one side of the rhombus. 

Possible Answers:

Correct answer:

Explanation:

Since 

The solution is:

, where  the length of one side of the rhombus. 

Thus, 



Example Question #57 : Rhombuses

A rhombus has an area of  square units, and an altitude of . What is the length of one side of the rhombus?

Possible Answers:

Correct answer:

Explanation:

To find the length of a side of the rhombus, work backwards using the area formula: 



Since we are given the area and the height, we plug these values into the equation and solve for the base.



Example Question #8 : How To Find The Length Of The Side Of A Rhombus

Given that a rhombus has an area of  square units and a height of , find the length of one side of the rhombus. 

Possible Answers:

Correct answer:

Explanation:

To find the length of a side of the rhombus, work backwards using the area formula: 



Since we are given the area and the height, we plug these values into the equation and solve for the base.





Example Question #9 : How To Find The Length Of The Side Of A Rhombus

If a rhombus has a perimeter of , what is the length of one side of the rhombus? 

Possible Answers:

Correct answer:

Explanation:

To find the length of a side of the rhombus, apply the formula: , where  is equal to the length of a side of the rhombus. 

Since we are given the perimeter we plug that value into the equation and solve for

Therefore the solution is:



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