Question

An auditorium has a floor area of 20,000 square feet. The length of the auditorium is twice its width. What are the dimensions of the room?

Answer 1

The dimensions of the auditorium are: width: 100 ft, length: 200 ft. See explanation.

Explanation:

Let's say that the dimensions are:

width - `w`
length - `l`

From the given information we know that:

• The length is twice the width: `l=2w`
• The area is `20,000` square feet: `wxxl=20,000`

If we combine the equations we get:

`wxx2w=20,000`

`2w^2=20,000`

`w^2=10,000`

`w=100`

Now we can calculate the length:

`l=2w=2xx100=200`

Answer:

The dimensions of the auditorium are: width - 100 feet, length - 200 feet.