# PSAT Math : How to find the length of the side of a hexagon

## Example Questions

### Example Question #1 : How To Find The Length Of The Side Of A Hexagon

Note: Figure NOT drawn to scale.

The perimeter of the above hexagon is 888. Also, . Evaluate .

Possible Answers:

Insufficient information is given to answer the problem.

Correct answer:

Explanation:

The perimeter of the figure can be expressed in terms of the variables by adding:

Simplify and set :

Along with , we now have a system of equations to solve for  by adding:

### Example Question #2 : How To Find The Length Of The Side Of A Hexagon

Note: Figure NOT drawn to scale.

The perimeter of the above figure is 132. What is  ?

Possible Answers:

Correct answer:

Explanation:

The perimeter of the figure can be expressed in terms of the variables by adding:

Simplify and set :

### Example Question #3 : How To Find The Length Of The Side Of A Hexagon

Note: Figure NOT drawn to scale.

The perimeter of the above figure is 600. The ratio of  to  is . Evaluate

Possible Answers:

Correct answer:

Explanation:

The perimeter of the figure can be expressed in terms of the variables by adding:

Simplify and set :

Since the ratio of  to  is equivalent to  - or

,

then

and we can substitute as follows: