### All ISEE Upper Level Math Resources

## Example Questions

### Example Question #1 : Hexagons

What is the sidelength, in feet and inches, of a regular hexagon with perimeter 16 feet?

**Possible Answers:**

**Correct answer:**

Divide the perimeter 16 feet by 6 to get the sidelength of the hexagon in feet:

Two-thirds of a foot is equal to eight inches, so this sidelength is 2 feet 8 inches.

### Example Question #2 : Hexagons

The perimeter of a regular hexagon is one mile. Give the sidelength in feet.

**Possible Answers:**

**Correct answer:**

One mile is equal to 5,280 feet, so divide this by 6:

feet

### Example Question #3 : Hexagons

A hexagon has a perimeter of 114in. Find the length of one side.

**Possible Answers:**

**Correct answer:**

A hexagon has 6 equal sides. The formula to find perimeter of a hexagon is:

where *a* is the length of any side. Now, to find the length of one side, we will solve for *a*.

We know the perimeter of the hexagon is 114in. So, we will substitute and solve for *a*. We get

Therefore, the length of one side of the hexagon is 19in.

### Example Question #4 : Hexagons

The perimeter of a hexagon is 96cm. Find the length of one side.

**Possible Answers:**

**Correct answer:**

A hexagon has 6 equal sides. To find the length of one side of a hexagon, we will use the formula to find the perimeter.

where *a* is the length of one side. So, we will solve for *a*.

Now, we know the perimeter of the hexagon is 96cm. So, we get

Therefore, the length of one side of the hexagon is 16cm.