Word Problem with Squares and Square Roots: Step-by-Step Example
22 October 2026
Word problems with squares and square roots often ask about the size of a square when you know its area. For 11+ maths, it helps to see each step clearly so your child understands how to work backwards using square roots.
Worked example
A square playground has an area of 36 square metres. What is the length of one side?
Step 1: Remember, the area of a square is side × side.
Step 2: Write the equation: side² = 36.
Step 3: Find the square root of 36.
Step 4: The square root of 36 is 6.
The correct answer is 6 metres.
After this example, your child will recognise how to connect area and side length in square problems. There are more questions like this to practise and build confidence.
