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IMAS 2012 — Middle Primary Grades 3–4 — Round 2 Question 15

IMAS · IMAS 2012 — Middle Primary Grades 3–4 — Round 2

Question 15

Unlimited numbers of two types of two square cardboard papers are available: side lengths of 1 cm or 2 cm. ___

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Now, we are going to use these two kinds of cardboard paper to assemble a rectangular shape with length of 5 cm by 3 cm. How many different ways can we make such kind of rectangular shape paper? (rotating and flipping of each other to make a rectangular paper is considered the same way of making the rectangular paper. For example, the following three rectangular pieces of paper is the same way of making a new rectangular pieces of paper, because the first rectangular piece of paper becomes the second piece through a clockwise rotation of 90 degrees and the third piece can be obtained from the second piece by flipping it upside down)

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