To clarify the formulas related to the area of a square, let's go through them step by step:
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The area \( A \) of a square is given by the formula:
\[ A = s^2 \quad \text{(where \( s \) is the length of one side of the square)} \]
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If the side length of the square is 6 units, you can express the area as:
\[ A = (6)(6) = 36 \text{ square units} \]
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The expression \( A = (x)(x) \) is also correct for a square with a side length of \( x \):
\[ A = x^2 \text{ square units} \]
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The expression \( A = (x+x) \) would not be appropriate for calculating the area of a square. This might confuse the perimeter or a different shape, as it usually refers to the sum of two side lengths rather than the area.
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The statement \( A = 2(6) \) does not pertain to the area of a square but rather could refer to the perimeter calculation (which would be \( P = 4s \) for a square, or \( P = 2(l + w) \) for a rectangle), and thus is not valid in this context.
To summarize, the correct formula for the area of a square is:
\[ A = s^2 \quad \text{(where \( s \) is the side length)} \]
In the example given, if \( s = 6 \), then:
\[ A = 6^2 = 36 \text{ square units} \]
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