x + 11 ft
Explanation:
x² + 22x + 121 ft² = area of square
x² + 11x + 11x + 121 ft² = side²
x(x + 11) + 11(x + 11) ft² = side²
(x + 11)(x + 11) ft² = side²
(x + 11)² ft² = side²
x + 11 ft = side²
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