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Take two 8 1/2 in. by 11 in. sheets of paper. Fold one of them horizontally as shown:

Continue folding this sheet horizontally four more times.

Take the other sheet of paper and make the first fold exactly as you started above. Then make the second fold vertically as shown.

Continue folding this piece of paper three more times alternating horizontally and verically. Compare the areas of the rectangles folded with the two different sheets.

 

Estimate the perimeter and area of the top of your bed. Then measure
your bed and calculate the perimeter and area. How close were your
estimates?

Draw two rectangles with the same area but different perimeters.

Tie the ends of a piece of string together to form a circle. Use the string to form various rectangles. The perimeter doesn’t change. Does the
area?

 
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