To find the length of one side of a square playground when given the area, we can follow these steps:
1. Understand the Relationship Between the Side Length and the Area:
- The area of a square is calculated by squaring the length of one of its sides. This can be represented by the formula:
[tex]\[
\text{Area} = (\text{Side Length})^2
\][/tex]
- If we are given the area, we need to reverse this process to find the side length. This is done by taking the square root of the area.
2. Write Down the Given Information:
- Area of the square playground = 225.6004 square metres.
3. Apply the Formula:
- To find the side length, take the square root of the area:
[tex]\[
\text{Side Length} = \sqrt{\text{Area}}
\][/tex]
4. Calculate the Square Root:
- When you calculate the square root of 225.6004, you obtain:
[tex]\[
\text{Side Length} = \sqrt{225.6004} \approx 15.02 \text{ metres}
\][/tex]
Therefore, the length of one side of the square playground is 15.02 metres.
