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8 May, 19:38

If you have 24 square pieces of wood, describe all

the different ways you could make a rectangle by

placing them side by side.

I'm so confused I don't know what to do

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Answers (1)
  1. 8 May, 19:52
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    Answer: 11 (or 10 if the square is not to be counted)

    Step-by-step explanation:

    Start with 1: If you have 1 piece on the top and 1 piece on the bottom, then there are 24 - 2 = 22 pieces left for the sides, which results in 11 on each side. Continue this with 2 pieces on the top, then 3 pieces on the top, etc. You will eventually see a pattern.

    Here are all of the ways you can lay out the pieces of wood to form 4 sides:

    1 x 11

    2 x 10

    3 x 9

    4 x 8

    5 x 7

    6 x 6 - -> this is a square. should this be counted as a rectangle?

    7 x 5

    8 x 4

    9 x 3

    10 x 2

    11 x 1
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