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If the area of a square is 36" m"^(2), t...

If the area of a square is `36" m"^(2)`, then its side is 6 m long.

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To find the side length of a square when the area is given, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the formula for the area of a square**: The area \( A \) of a square is calculated using the formula: \[ A = \text{side}^2 \] where "side" is the length of one side of the square. 2. **Set up the equation using the given area**: We know from the problem that the area \( A \) is \( 36 \, m^2 \). Therefore, we can write: \[ \text{side}^2 = 36 \] 3. **Solve for the side length**: To find the side length, we need to take the square root of both sides of the equation: \[ \text{side} = \sqrt{36} \] 4. **Calculate the square root**: We know that the square root of \( 36 \) is \( 6 \): \[ \text{side} = 6 \, m \] 5. **Conclusion**: Thus, the length of each side of the square is \( 6 \, m \). ### Summary: The side length of the square is \( 6 \, m \).
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