GRE Math : How to find the area of a parallelogram

Study concepts, example questions & explanations for GRE Math

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Example Questions

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

A parallelogram has a base of  and a height of . Find the area of the parallelogram.

Possible Answers:

Correct answer:

Explanation:

By definition a parallelogram has two sets of opposite sides that are congruent/parallel. However to find the area of a paralleogram, you need to know the base and height lengths. Since this problem provides both the base and height measurements, apply the formula: 



The solution is: 

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

A parallelogram has a base of  and a height measurement that is  the base length. Find the area of the parallelogram.

Possible Answers:

Correct answer:

Explanation:

By definition a parallelogram has two sets of opposite sides that are congruent/parallel. However, to find the area of a paralleogram, you need to know the base and height lengths. Since this problem provides both the base and height measurements, apply the formula: 


Before applying the formula you must find  of 

The final solution is: 

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

A parallelogram has a base of  and a height of . Find the area of the parallelogram.

Possible Answers:

 

Correct answer:

 

Explanation:

By definition a parallelogram has two sets of opposite sides that are congruent/parallel. However, to find the area of a paralleogram, you need to know the base and height lengths. Since this problem provides both the base and height measurements, apply the formula: 



The solution is: 

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

A parallelogram has a base of  and a height measurement that is  the base length. Find the area of the parallelogram.

Possible Answers:

Correct answer:

Explanation:

A parallelogram must have two sets of opposite sides that are congruent/parallel. However, to find the area of a paralleogram, you need to know the base and height lengths. Since this problem provides both the base and height measurements, apply the formula: 


Before applying the formula you must find  of 

The solution is: 

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

Parallelogram gre

Using the parallelogram shown above, find the area.

Possible Answers:

 

Correct answer:

 

Explanation:

By definition a parallelogram has two sets of opposite sides that are congruent/parallel. However to find the area of a paralleogram, you need to know the base and height lengths. Since this problem provides both the base and height measurements, apply the formula: 



The solution is: 

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

A parallelogram has a base of  meters and a height measurement that is  the base length. Find the area of the parallelogram.

Possible Answers:

Correct answer:

Explanation:

By definition a parallelogram has two sets of opposite sides that are congruent/parallel. However, to find the area of a paralleogram, you need to know the base and height lengths. Since this problem provides both the base and height measurements, apply the formula: 


Before applying the formula you must find  of 



The solution is: 

Example Question #7 : Quadrilaterals

A parallelogram has a base of  and a height of . Find the area of the parallelogram.

Possible Answers:

Correct answer:

Explanation:

A parallelogram must have two sets of opposite sides that are congruent/parallel. However, to find the area of a paralleogram, you need to know the base and height lengths. Since this problem provides both the base and height measurements, apply the formula: 



The solution is: 



Note: prior to applying the formula, the answer choices require you to be able to convert  to , as well as  to . Or, you could have converted the mixed numbers to improper fractions and then multiplied the two terms:





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

Parallelogram gre

Find the area of the parallelogram shown above, excluding the interior space occupied by the blue rectangle. 

Possible Answers:

Correct answer:

Explanation:

A parallelogram must have two sets of opposite sides that are congruent/parallel. However, to find the area of a paralleogram, you need to know the base and height lengths. Since this problem provides both the base and height measurements, apply the formula: 



Additionally, this problem requires you to find the area of the interior rectangle. This can be simply found by applying the formula: 

Thus, the solution is: 





Example Question #8 : How To Find The Area Of A Parallelogram

A parallelogram has a base of  and a height measurement that is  the base length. Find the area of the parallelogram.

Possible Answers:

Not enough information is provided. 

Correct answer:

Explanation:

By definition a parallelogram has two sets of opposite sides that are congruent/parallel. However, to find the area of a paralleogram, you need to know the base and height lengths. Since this problem provides both the base and height measurements, apply the formula: 


Before applying the formula you must find  of 

The solution is: 



Note: when working with multiples of ten remove zeros and then tack back onto the product.



There were two total zeros in the factors, so tack on two zeros to the product: 

Example Question #10 : Quadrilaterals

Parallelogram gre

Find the area for the parallelogram shown above.

Possible Answers:

Correct answer:

Explanation:

A parallelogram must have two sets of opposite sides that are congruent/parallel. However, to find the area of a paralleogram, you need to know the base and height lengths. Since this problem provides both the base and height measurements, apply the formula: 



The solution is: 

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