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2023 BIMC keystage2-EMIC individual Question 7

xIMC · 2023 BIMC keystage2-EMIC individual

Question 7

Alex has a large piece of paper of width $6$ cm and length $94$ cm. He wants to cut as many rectangles as possible from this paper such that each rectangle has integer side lengths in cm and perimeter $20$ cm. What is the largest possible number of rectangles he can get?

**User-approved clarification (added condition, not official source wording):**

Every side of each cut rectangle must be parallel to an edge of the original sheet.