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18 June, 22:27

What is the least perimeter of a rectangle with an area of 32square. ft

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Answers (2)
  1. 18 June, 22:53
    0
    The factors are 2,16,1,32,4 and 8. If it was 2 by 16, the perimeter would be 36. If it was 1 by 32, the perimeter would be 66. If it was 4 by 8, the perimeter would be 24. The smallest number is 24 so the smallest the perimeter could be is 24cm.
  2. 19 June, 02:00
    0
    Ok so least perimiter

    area=legnth timew width

    32=area

    32=LW

    from experience, I know that the closer L is to W, the smaller the perimiter

    so set L=W (this makes it a square and this is allowed since a square is a rectangle)

    32=L^2=W^2

    take square root

    √32=L=W

    4√2=L

    perimiter=2L+2W

    L=W

    perimiter=2L+2L

    p=4L

    L=4√2

    p=4 (4√2)

    P=16√2

    aprox

    22.63 ft

    so the answer is

    16√2 ft or 22.63 ft
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