Alright, let's solve the problem step-by-step.
1. Given:
- We are provided with [tex]\(\sqrt{5} = 2.23\)[/tex].
2. Assumptions and Interpretation:
- Let's assume we need to find the area of a square where the length of each side is equal to [tex]\(\sqrt{5}\)[/tex].
3. Finding the Side Length:
- Based on the information given, the side length of the square is [tex]\(\sqrt{5}\)[/tex].
- We know that [tex]\(\sqrt{5}\)[/tex] is approximately [tex]\(2.23\)[/tex].
4. Formula for the Area of a Square:
- The area of a square is calculated using the formula:
[tex]\[
\text{Area} = (\text{side length})^2
\][/tex]
5. Substituting the Value:
- Substitute the given side length into the formula.
[tex]\[
\text{Area} = (2.23)^2
\][/tex]
6. Calculation:
- Perform the calculation:
[tex]\[
(2.23)^2 = 4.9729
\][/tex]
7. Conclusion:
- Therefore, the area of the square with side length [tex]\(\sqrt{5} \approx 2.23\)[/tex] is [tex]\(4.9729\)[/tex].
So, the area of the square is [tex]\(\boxed{4.9729}\)[/tex].
