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19 August, 14:11

Mr. Weisner is using 81 padded squares to make a workout area in his house. Each square measures 1 meter by 1 meter. He wants to arrange the 81 squares in a

rectangular shape with the smallest possible perimeter. What dimensions should he use for his workout area?

mx

(Type whole numbers.)

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Answers (1)
  1. 19 August, 14:18
    0
    60 m

    Step-by-step explanation:

    The area of each pad is 1 x 1 = 1 m^2

    The total area of the square 81 square pads will be 81 x 1 m^2 = 81 m^2

    The common factors of 81 are 1, 3, 9, 27, 81

    the possible arrangements will be

    81 m x 1 m 27 m x 3 m 9 m x 9 m (this should be excluded since it will give a square shaped arrangement)

    the least rectangle will be formed with dimension of 27 m by 3 m

    27 m x 3 m gives 81 m^2

    perimeter = 2 (27 + 3) = 2 x 30 = 60 m
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