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A candy cane 20 cm high has a circumference of 3 cm. The red “ribbon” makes exactly 4 complete turns round the candy cane while its two ends touch the cane's top and bottom. How long is the ribbon in cm?

  • algebra -

    Visualize the candy cane made in the form of a paper cylinder.
    Cut the cylinder open, you will see that the "ribbon" around the candy cane or cylinder consists of 4 diagonals for 4 different rectangles.
    the height of each of those rectangles is 20/4 or 5 cm
    and the width is 3 cm
    So the diagonal or hypotenuse is ..
    √(5^2 + 3^2) = √34

    So the length of the "ribbon" is 4√34

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