SSAT Middle Level Math : How to find the perimeter of a parallelogram

Study concepts, example questions & explanations for SSAT Middle Level Math

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Example Questions

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

Parallelogram

Find the perimeter of the given parallelogram if 

Possible Answers:

16

14

12

18

Correct answer:

18

Explanation:

In order to find the perimeter, we find the sum of the OUTER sides: 

Parallelogram_labeled

 

Notice that we didn't use the height in our calculation.

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

Parallelogram

Find the perimeter of the given parallelogram if  

Possible Answers:

38

24

22

36

Correct answer:

36

Explanation:

In order to find the perimeter of the parallelogram, we must add the OUTER edges: 

Parallelogram_labeled

Notice that we didn't use height in our calculation. 

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

Parallelogram

Find the perimeter of the given parallelogram if 

Possible Answers:

26

30

36

23

Correct answer:

36

Explanation:

In order to find the perimeter, we need to find the sum of the outer edges:

Parallelogram_labeled

 

 Notice that we didn't use height in our calculation. 

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

Find the area of a parallelogram with base length  and side length .

Possible Answers:

Not enough information provided

Correct answer:

Not enough information provided

Explanation:

The area  of a parallelogram with height  and base  can be found with the equation . However, while we have been given the length of the base and of another side of the parallelogram, we still do not know the length of the base. Therefore, we do not have enough information to find the area.

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

Find the perimeter of a parallelogram with a height of , a base of , and a side of length

Possible Answers:

Correct answer:

Explanation:

The perimeter of a parallelogram is the sum of the length of its sides. Since we know the length of the base and of another side, we know that the remaining sides of the parallelogram match those lengths. Therefore:

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

Parallelogram

Find the perimeter of the parallelogram if h=, b=, and c=.

Possible Answers:

Correct answer:

Explanation:

In order to find the perimeter, find the sum of each OUTER side: 

Notice the height isn't used in this calculation.

Keep in mind that the sides directly opposite of each other are of the same length. This is why we have  and  appearing twice in our work.

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

Parallelogram

Find the perimeter of the given parallelogram if  

Possible Answers:

Correct answer:

Explanation:

In order to find the perimeter, we must find the sum of the outer edges:

Parallelogram_labeled

Notice that we didn't use height in our calculation. 

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

Parallelogram

Find the perimeter of the given parallelogram if  

Possible Answers:

Correct answer:

Explanation:

In order to find the perimeter, we must find the sum of the outer edges: Parallelogram_labeled

Notice that we didn't use height in our calculation. 

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