SSAT Middle Level Math : Parallelograms

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

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Example Questions

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

Parallelogram

Note: Figure NOT drawn to scale

In the above diagram, 

Give the area of the parallelogram.

Possible Answers:

Correct answer:

Explanation:

The area of a parallelogram is its base multiplied by its height - represented by  and  here:

Note that the value of  is irrelevant.

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

A given parallelogram has a base  in length, a height  in length, and a side of length  opposite the height. What is the area of the parallelogram?

Possible Answers:

Correct answer:

Explanation:

The formula for the area of a parallelogram is , with base and height represented by  and , respectively. Substituting values from the question:

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

A parallelogram has a height of  in length, a side of length  opposite the height, and a base of . What is the area of the parallelogram?

Possible Answers:

Correct answer:

Explanation:

Given base  and height .

Substituting the values from our question:

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

A parallelogram has a base of length , a height of length , and a side of length . What is the area of the parallelogram?

Possible Answers:

Correct answer:

Explanation:

Given base  and height .

Substituting the values from our question:

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

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

Possible Answers:

Correct answer:

Explanation:

The area  of a parallelogram with height  and base  can be found with the equation . Consequently:

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

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

Possible Answers:

Correct answer:

Explanation:

The area  of a parallelogram with height  and base  can be found with the equation . Consequently:

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

Find the area of the following parallelogram:

Isee_mid_question_42

Note: The formula for the area of a parallelogram is .

Possible Answers:

Correct answer:

Explanation:

The base of the parallelogram is 10, while the height is 5.

Example Question #2 : Area Of A Parallelogram

Find the area:

Question_5

 

Possible Answers:

Correct answer:

Explanation:

The area of a parallelogram can be determined using the following equation:

Therefore,

 

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

Parallelogram

Find the area of the given parallelogram if   .

Possible Answers:

Correct answer:

Explanation:

In order to find the area of a parallelogram, we need to find the product of the base length and height. 

Notice that only two of the given values were needed to slove this problem.

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

Parallelogram

Find the perimeter of the given parallelogram if 

Possible Answers:

14

12

18

16

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.

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