Area of a Square

Question

The formula for the area of a square is A = s², Where S is the length of a side. Estimate the length of a side for the square below.

A = 18 sq.ft.

Answer 1

So for a square all sides would be equal. In order to utilize the formula you would need to substitute in the area such as below:

18=s²

To solve for s you will need to take the square root of both sides such as:

√18=√s²

The square root of s² would be s itself then it would equal:√

s=±√18

All square roots have a plus and minus because there would normally be two answers but for the purpose of a square will only consider the positive since we cannot have negative side length

s=√18--Finally let simplify the radicals to simpliest square root

We think about what goes into 18 such as: 1*18, 2*9 and that it. We must pick the numbers where perfect square is contained such as 9*2 which is the one will use:

s=√9√2-√9 is a perfect square and simplify down will equal 3 so side length is

s=3√2≈approx as decimal =4.24 ft for the square.

Any further questions on simplifying radicals or process please let me know and try one on your own.

Answer 2

s^2 = 18

s = sqrt(18)

4^2 = 16

5^2 = 25

It's 4.something.

sqrt(18) = sqrt(2*9) = 3*sqrt(2) = about 4.24