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Problem 1.4 Questions A-E refer to the designs from Problem 1.3. Experiment with your tiles to try to answer the questions. Make sketches of your designs on grid paper.

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Part A Build a design with the same area as design G, but with a smaller perimeter. Can you make more than one design that meets these requirements? Explain.

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Part B Design E can be made from design D by removing three tiles. How does the area of design D compare to the area of design E? How does the perimeter of design D compare to the perimeter of design E?

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Part C Design F and Design I have the same perimeter. Can you rearrange the tiles of design F to make design I? Explain.

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Part D Design A and Design C have the same area. Can you rearrange the titles of Design A to make Design C? Explain.

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Part E Arrange your tiles to match design B. Now, move one tile to make a new design with a perimeter of 14 units. Sketch your new design.

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