### All PSAT Math Resources

## 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:**

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 #1 : Hexagons

Note: Figure NOT drawn to scale.

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

**Possible Answers:**

**Correct answer:**

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

Simplify and set :

### 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 figure is 600. The ratio of to is . Evaluate .

**Possible Answers:**

**Correct answer:**

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:

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