Question

The average area of a living room in the United States is 330

square feet. If the living room is in the shape of a square, what are the approximate dimensions of the room? Be able to solve the problem without a calculator and explain your solution.

Answer 1

`√(330)`

Explanation:

The area of a square,
`A_(\square)`, is calculated by the square of its sides (
`s^2`). If you want to find
`s`, given the
`A_(\square)`, you are just going to take the principal square root of (
`A_(\square)`).

We are given the average area of the living rooms in the United States (
`330`). If a living room in the United States is in the shape of a square, the average of its side is
`√(330)`.

Solving for
`√(330)` without a calculator:

The numbers
`330` has no factor that is a perfect square. This means that we cannot write
`√(330)` any simpler.