Step by step
The question
Question: find the side s of a square with area 49 square units.
1 Write the rule
All four sides of a square are the same.
The area is side times side.
So s times s is 49: s² = 49.
s2 = 49
Careful!
Dividing by 4 is for the perimeter.
For the area we need the number that times itself makes it.
Careful: not s = 49 ÷ 4 ✗
2 Take the square root
s times s is 49.
So s is the square root of 49.
s = √49
The square root of 49 is the positive number that times itself makes 49.
7 times 7 is 49.
7 × 7 = 49
So the side is 7.
s = 7
3 Check
Let's check: side times side.
7 × 7 = 49
We get 49, the area.
So the side is right!
Let's look back.
First: write the rule.
Then: take the square root.
Last: check.
Answer
s = 7