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ahmad and chris are still trying to find new ways to represent patterns…

Question

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.

Explanation:

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 \(s = 6\):

\(A = 6^{2}=36\)

Answer:

Side LengthArea
24
39
416
525
636