Step by step
The question
Question: find the side s of a square with area 81 m².
1 Write the rule
All four sides of a square are the same.
The area is side times side.
So s times s is 81: s² = 81.
s2 = 81
Careful!
Dividing by 4 is for the perimeter.
For the area we need the number that times itself makes it.
Careful: not s = 81 ÷ 4 ✗
2 Take the square root
s times s is 81.
So s is the square root of 81.
s = √81
The square root of 81 is the positive number that times itself makes 81.
9 times 9 is 81.
9 × 9 = 81
So the side is 9 m.
s = 9 m
3 Check
Let's check: side times side.
9 × 9 = 81
We get 81, the area.
So the side is right!
Let's look back.
First: write the rule.
Then: take the square root.
Last: check.
Answer
s = 9 m