GRE Math : How to find the area of a pentagon

Study concepts, example questions & explanations for GRE Math

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Example Questions

Example Question #42 : Plane Geometry

The perimeter of a regular pentagon is 40 units. What is the area of the pentagon?

Possible Answers:

Correct answer:


The formula for the area of a regular pentagon is given by the equation:

where a is represented by the length of one side. Let's begin by finding the side length of the regular pentagon. If the perimeter is 40, then we can divide by 5 (the number of sides) to find a side length of 8.

If we plug in 8 into the equation:

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