### All High School Math Resources

## Example Questions

### Example Question #1 : Plane Geometry

What is the perimeter of a regular hendecagon with a side length of 32?

**Possible Answers:**

**Correct answer:**

To find the perimeter of a regular hendecagon you must first know the number of sides in a hendecagon is 11.

When you know the number of sides of a regular polygon to find the perimeter you must multiply the side length by the number of sides.

In this case it is .

The answer for the perimeter is .

### Example Question #1 : How To Find The Perimeter Of A Polygon

All segments of the polygon meet at right angles (90 degrees). The length of segment is 10. The length of segment is 8. The length of segment is 3. The length of segment is 2.

Find the perimeter of the polygon.

**Possible Answers:**

**Correct answer:**

The perimeter of the polygon is 46. Think of this polygon as a rectangle with two of its corners "flipped" inwards. This "flipping" changes the area of the rectangle, but not its perimeter; therefore, the top and bottom sides of the original rectangle would be 12 units long . The left and right sides would be 11 units long . Adding all four sides, we find that the perimeter of the recangle (and therefore, of this polygon) is 46.

### Example Question #1 : Geometry

What is the perimeter of a regular nonagon with a side length of ?

**Possible Answers:**

**Correct answer:**

To find the perimeter of a regular polygon, we take the length of each side, , and multiply it by the number of sides, .

In a nonagon the number of sides is , and in this example the side length is .

The perimeter is .

### Example Question #4 : Plane Geometry

Find the perimeter of the following octagon:

**Possible Answers:**

**Correct answer:**

The formula for the perimeter of an octagon is .

Plugging in our values, we get: