The rectangle is  centimeters longer than it is width.

The formula for the area of a rectangle is .

An expression for the length of the rectangle is .

Use and to write an inequality that represents the situation.

Consider .

.

Let .

Therefore has zeros at and .

Create a sign chart using these values.

Note : The hallow circles denote that the values are excluded from the solution set.

Observe the sign chart :

The set of values of denoted in blue color represents the solution set.

Determine whether is positive or negative on the test intervals.

Test intervals are and .

If , then .

If , then .

If , then .

The solutions of are values for which is positive.

From the sign chart the solution set is .

Since the width must be positive, the solution set or .

The correct answer is .