To find the area \( A \) of square ABCD using the formula \( A = S^2 \), where \( S \) is the length of a side of the square, follow these steps:
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Substitute \( S = 13 \) feet into the formula: \[ A = S^2 = 13^2 \]
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Calculate \( 13^2 \): \[ 13^2 = 169 \]
Thus, the area \( A = 169 \) square feet.
Final answer: \( A = 169 , \text{feet}^2 \)