### All High School Math Resources

## 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 #2 : How To Find The Area Of A Pentagon

Find the area of the following pentagon:

**Possible Answers:**

**Correct answer:**

Explanation:

The formula for the area of of a pentagon is

.

Plugging in our values, we get:

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

Find the area of the following pentagon:

**Possible Answers:**

**Correct answer:**

Explanation:

The formula for the area of of a pentagon is:

Plugging in our values, we get:

### All High School Math Resources

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