Question

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a square tile has an area of 49 square inches. what is the side length of the tile? inches

Explanation:

Step1: Recall the area formula for a square

The area formula for a square is \(A = s^{2}\), where \(A\) is the area and \(s\) is the side - length. Given \(A = 49\) square inches.

Step2: Solve for \(s\)

We have the equation \(s^{2}=49\). Taking the square root of both sides, \(s=\sqrt{49}\). Since the side - length of a square is non - negative, \(s = 7\) (because \(7\times7 = 49\) and \((- 7)\times(-7)=49\), but length cannot be negative).

Answer:

\(7\)