Steply

Square area 49, find the side

Step by step, with the reason for every step · Work backwards · Geometry

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

Your turn

Try this one yourself, then check:

Find the side.
Show the answer
s = 10

More from Work backwards

The whole lesson: Work backwards →