The length of a rectangle is 5 inches more than its width, x. the area of a rectangle can be represented by the equation x 2 + 5x = 300. what are the measures of the width and the length? width = a0 inches length = a1 inches

Width = 15 inches             Length = 20 inches

Step-by-step explanation:

The area of a rectangle is calculated using the following formula.

  (1)

Where L is the length and x is the width of the rectangle

In this case we know that the length of the rectangle is 5 inches greater than its width. This means that:

  (2)

Also The area of a rectangle can be represented by the equation

so to find the width x we solve the equation

  (3)

For an equation of the form the quadratic formula is:

In this case note that:

Then:

 →  

 →  

We take the positive solution

Now we use equation (2) to find L