Intermediate Geometry : How to find the perimeter of a parallelogram

Study concepts, example questions & explanations for Intermediate Geometry

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Example Questions

Example Question #2 : Parallelograms

Parallelogram_custom_2

Find the perimeter of the parallelogram shown above. 

Possible Answers:

Correct answer:

Explanation:

In order to find the perimeter of this parallelogram, apply the formula: 
.

The solution is:



Example Question #3 : Parallelograms

Parallelogram_custom_3

Find the perimeter of the parallelogram shown above. 

Possible Answers:

Correct answer:

Explanation:

To find the perimeter of this parallelogram, first find the length of the side: .

Since, , the side must be .

Then apply the formula: 





Example Question #1 : How To Find The Perimeter Of A Parallelogram

A parallelogram has a side length  that of the length of the base. If the length of the base is , find the perimeter of the parallelogram.  

Possible Answers:

Correct answer:

Explanation:

Since the side is  the length of the base, the side is equal to .

Then apply the formula .

The solution is:


Example Question #2 : How To Find The Perimeter Of A Parallelogram

Parallelogram_custom_4

Find the perimeter of the parallelogram shown above. 

Possible Answers:

Correct answer:

Explanation:

To solve this problem, apply the formula .

Since the length of the side is not provided in the figure, apply the formula , where  and  the side of the parallelogram. 

The solution is:






Thus, 

Example Question #3 : How To Find The Perimeter Of A Parallelogram

A parallelogram has a base that is  times greater than the length of the side of the parallelogram. If the length of the side is , what is the perimeter of the parallelogram? 

Possible Answers:

Correct answer:

Explanation:

To solve this problem, first find the . Then to find the length of the base:

Then apply the formula:

 

 

 

Example Question #4 : How To Find The Perimeter Of A Parallelogram

Find the perimeter (in inches) of a parallelogram that has a base of  and a side length of .

Possible Answers:

 

 

 

 

Correct answer:

 

Explanation:

To find the perimeter of the parallelogram apply the formula: . However, to find the solution with the correct unit, convert  and . We can convert feet into inches because .


Thus, the solution is:



Example Question #5 : How To Find The Perimeter Of A Parallelogram

A parallelogram has a base length of  and a side length of . Find the perimeter of the parallelogram. 

Possible Answers:

Correct answer:

Explanation:

To solve this problem, apply the formula: 

Since, the side length is equal to , the solution is:







Example Question #6 : How To Find The Perimeter Of A Parallelogram

If a parallelogram has a base that is three times the length of the side, and the side length is equal to , what is the perimeter of the parallelogram in inches?

Possible Answers:

 

 

 

 

Correct answer:

 

Explanation:

The side length of this parallelogram is  foot, which is equivalent to  inches because .

Thus, the base must be .

Then, apply the formula



 

Example Question #7 : How To Find The Perimeter Of A Parallelogram

If a parallelogram has a base of  and a side length of , find the perimeter of the parallelogram. 

Possible Answers:

Correct answer:

Explanation:

To solve this problem, apply the formula: .

Thus, the solution is:



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