Maths Olympiad Prep

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CEMC Fryer, 2007

Geometry Difficulty 1.0 Junior Prove it Canada

Squares measuring 1 by 1 are arranged to form the following sequence of rectangles: Rectangle 1, Rectangle 2, Rectangle 3. Many more rectangles are drawn, with each rectangle having one more row and two more columns than the previous rectangle. How many 1 by 1 squares would there be in Rectangle 4? Explain how you obtained your answer.

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