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.

Respuesta :

Happil

Answer:

[tex]\sqrt{330}[/tex]

Step-by-step explanation:

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

We are given the average area of the living rooms in the United States ([tex]330[/tex]). If a living room in the United States is in the shape of a square, the average of its side is [tex]\sqrt{330}[/tex].

Solving for [tex]\sqrt{330}[/tex] without a calculator:

The numbers [tex]330[/tex] has no factor that is a perfect square. This means that we cannot write [tex]\sqrt{330}[/tex] any simpler.