Four identical semicircles are cut out from a rectangle as shown.
What will be the increase/decrease in the area and perimeter? Show your work.
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Working on this problem will give students a deeper understanding of area and perimeter, and how they change as a shape is altered. The problem will address some students' misconception that as area increases, perimeter must necessarily increase too. Possible approach. Display a simple shape made out of squares on a small square grid:
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