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Algebra Difficulty 2.0 Junior Find the answer United Kingdom

In a sequence of rectangles, the first has height $10\text{ cm}$ and width $13\text{ cm}$ . Each of the following rectangles is $2\text{ cm}$ higher and $1\text{ cm}$ wider than the previous rectangle in the sequence. How many rectangles in this sequence are also squares?

(A) $0$ (B) $1$ (C) $2$ (D) $4$ (E) an infinite number

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