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A piece of thick rectangular paper, 20 cm long and 15 cm wide. Cut it into the largest square. What's the circumference of the square?
Because the side length of the largest square in the rectangle should be equal to the width of the rectangle, the side length of the square is 15 cm, 15 × 4 = 60 (CM); answer: the perimeter of the square is 60 cm
To solve the problem: a 30 cm long, 20 cm wide rectangular paper, cut the largest semicircle on the paper, and ask what is the circumference of the remaining figure?
2×20×3.14=125.6(cm)
Cut a piece of rectangular paper 18 cm in length and 12 cm in width into a small square with the same side length of the whole centimeter. How many can you cut at most?
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The greatest common factor of 18 and 12 is 6, so the maximum side length of a square is 6cm
At least: (18 ／ 6) × (12 ／ 6) = 6 (pieces)
The least common factor of 18 and 12 is 1, so the minimum side length of a square is 1cm
It can be cut at most: (18 ／ 1) × (12 ／ 1) = 216 (pieces)
After a rectangular paper is folded into three equal parts, it becomes a square. The perimeter of the square is 40 cm. What is the perimeter of the original rectangle? （ ）
A. 70B. 80C. 100D. 96
[(40 / 4) × 3 + (40 / 4)] × 2 = 40 × 2 = 80 (CM) a: the circumference of the original rectangle is 80 cm
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