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 #131 : Geometry

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 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 #132 : Geometry

Grerectangle

ABCD is a rectangle.

Quantity A: The area of AEB

Quantity B: The area BEC

Possible Answers:

The two quantities are equal.

Quantity A is greater.

The relationship cannot be determined.

Quantity B is greater.

Correct answer:

The two quantities are equal.

Explanation:

The area of a triangle is 

Consider the rectangle ABCD
Grerectangle

As a rectangle:

With  appearing directly in the center of the rectangle.

The area of 

Notice that the  term corresponds to the triangle's height.

The area of 

The two quantities are equal.

Example Question #11 : How To Find The Area Of A Parallelogram

Parallelogram gre

Using the parallelogram shown above, find the area. 

Possible Answers:

Not enough information is provided. 

Correct answer:

Explanation:

This problem provides both the base and height measurements, thus apply the formula: 



 

To find an equivalent answer in inches, you must convert the measurements to inches FIRST, and then multiply:

 

Therefore, our area in square inches is:

 
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