Step by step
The question
Question: find the side s of a square with perimeter 36.
1 Write the rule
All four sides of a square are the same.
So the perimeter is 4 times the side.
So 4 × s = 36.
Careful!
The square root is for the area.
The perimeter is 4 sides added, so we divide by 4.
2 Remove the × 4
We want s by itself.
The times 4 is in the way.
To remove times 4, we divide by 4.
We do it on both sides.
Why both sides?
The = sign means both sides are the same amount.
If we change only one side, they are not the same any more.
4 divided by 4 is 1.
So just s is left.
36 divided by 4 is 9.
So the side is 9.
3 Check
Let's check: 4 times the side.
We get 36, the perimeter.
So the side is right!
Let's look back.
First: write the rule.
Then: remove the × 4.
Last: check.