Name 發問於 科學及數學數學 · 3 月 前

A man is going to cover a square floor with rectangular tiles of sides 14 cm & 18 cm Find the least possible side length of the square floor?

2 個解答

評分
  • SC147
    Lv 6
    3 月 前
    最佳解答

    14 = 7x2

    18 = 9x2

    ∴ L.C.M. of 14,18 = 7x9x2 = 126

    Thus, least possible side length of the square floor =126 cm

    ~~~~~~~~~~~~~~~~~~~ END ~~~~~~~~~~~~~~~~~~~~~~

    Explanation :

    =========

    要求 "a square(方形) floor" :

    現得出一塊 126cm x 126cm 的 square floor,

    即 (7x9x2)cm x (7x9x2)cm square floor,

    或 (14x9)cm x (18x7)cm square floor.

    ∴ 是把 (14x18) 的 rectangular tiles :

    ________

    |    |

    |    | 18

    |    |

    |_______|

      14

    橫向鋪9塊 & 直向鋪7塊, forming a square.

  • A man 14 cm *18 cm

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