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17 votes
17 votes
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.

User Ajthyng
by
2.5k points

1 Answer

18 votes
18 votes

Answer:


√(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.

User Jdehaan
by
3.1k points