math

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the floor of a room is a rectangle. it has a perimeter of 22m and an area of 24 square meters.

what are the length and width of the room?

  • math -

    length --- x
    width --- y

    x+y = 11 or y = 11-x

    xy = 24
    x(11-x) = 24
    x^2 - 11x + 24 = 0
    (x-3)(x-8) = 0
    x = 3 or x = 8

    if x=3, y = 8
    if x = 8, y = 3

    the room is 3 by 8

  • math -

    This must be a closet.

    The factors of 24:

    3 * 8
    4 * 6
    2 * 12

    Which of those dimensions would give a perimeter of 22 m?

  • math -

    im in grade 4 i don't know what that is

  • math -

    Perimeter = 2 times length plus 2 times width

  • math -

    rieny that doesent make sense it cant be.

  • math -

    Maya, if you only in grade 4, then forget about my solution.
    Go with what Ms Sue has shown you.

    the room is 3 metres by 8 metres

    check : 3+8 + 3+8 = 22
    3x8 = 24

  • math -

    wow thanks rieny :)

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