High School Math : How to find the area of a pentagon

Study concepts, example questions & explanations for High School Math

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Example Questions

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

What is the area of a regular pentagon with side length ?

Possible Answers:

Correct answer:

Explanation:

The area of a regular polygon can be solved using the following equation: .

To find the perimeterof the pentagon, we multiply the side length by five.

The apothem of a regular polygon ( = number of sides;  = side length) is given by the equation below.

Pluggin in our numbers, we can solve for the apothem.

Finally, we can solve for the area.

Example Question #502 : Geometry

Find the area of the following pentagon:

Area_pentagon

Possible Answers:

Correct answer:

Explanation:

The formula for the area of of a pentagon is

.

Plugging in our values, we get:

Example Question #503 : Geometry

Find the area of the following pentagon:

Screen_shot_2014-03-11_at_8.34.46_pm

Possible Answers:

Correct answer:

Explanation:

The formula for the area of of a pentagon is:

Plugging in our values, we get:

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