ISEE Middle Level Math : How to find the area of a parallelogram

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

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Example Questions

Example Question #92 : Quadrilaterals

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

You can solve the area of a parallelogram when you know the lengths of each of the sides. True or False?

Possible Answers:

Correct answer:

Explanation:

The area of a parallelogram is found by computing .  In this situation, you would have the base which is the bottom side but you would not have the height measurement.  Since you would not be able to solve for the area with just the side lengths, the statement is .

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

If a parallelogram has side lengths of  and , what is the area?

Possible Answers:

Cannot be determined.

Correct answer:

Cannot be determined.

Explanation:

To find the area of a parallelogram, you use the formula,

 .  

Since the height in this problem is not known, you cannot solve for area.

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

Find the area of a parallelogram with a base of 6 inches and a height of 9 inches.

Possible Answers:

Correct answer:

Explanation:

To find the area of a parallelogram, we will use the following formula:

where is the base and h is the height of the parallelogram.

 

Now, we know the base has a length of 6 inches. We also know it has a height of 9 inches.  Knowing this, we can substitute into the formula.  We get

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

Find the area of the parallelogram with a base length of 6 and a height of 15.

Possible Answers:

Correct answer:

Explanation:

Write the area formula of a parallelogram.

Substitute the dimensions into the formula.

The answer is:  

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