QUESTION IMAGE
Question
area of a square
ahmad and chris are still trying to find new ways to
represent patterns. ahmad is curious about the
pattern between a squares side length and its area.
help ahmad complete the table that compares a
squares side length to its area.
Step1: Recall the formula for the area of a square
The area \(A\) of a square is given by \(A = s^{2}\), where \(s\) is the side - length of the square.
Step2: Calculate the area for each side - length
- When \(s = 1\), \(A=1^{2}=1\)
- When \(s = 2\), \(A = 2^{2}=4\)
- When \(s = 3\), \(A=3^{2}=9\)
- When \(s = 4\), \(A = 4^{2}=16\)
- When \(s = 5\), \(A=5^{2}=25\)
- When \(s = 6\), \(A = 6^{2}=36\)
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| Side Length | Area |
|---|---|
| 2 | 4 |
| 3 | 9 |
| 4 | 16 |
| 5 | 25 |
| 6 | 36 |