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8 January, 00:38

The area of a parallelogram is 96 cm squared the height is 4 cm less than the length what is

the length

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Answers (2)
  1. 8 January, 02:08
    0
    The area of a parallelogram is height multiplied by base. we know the height is 4cm less than length and we want length. let's put everything we know in terms of equations:

    l (h) = 96

    h = l-4

    l is the length and h is the height. now we just need to solve for l. since we don't care about h, we can substitute h = l-4 into lh = 96:

    l (l-4) = 96

    now we just have to solve for l:

    l^2 - 4l - 96 = 0

    (l - 12) (l+8) = 0

    by the zero product property, either l-12 = 0 OR l+8 = 0. since l+8 = 0 gives l as a negative number, we know that can't be the solutions. therefore, l-12 = 0 and l = 12.

    let me know if you have any questions!
  2. 8 January, 02:28
    0
    Area of paralellogram=legnth times height

    l=legnth

    h=height

    area=96

    lh=96

    h is 4 less than l

    h=-4+l

    sub

    l (-4+l) = 96

    -4l+l^2=96

    minus 96 both sides

    l^2-4l-96=0

    factor

    (l-12) (x+8) = 0

    set to zero

    l-12=0

    l=12

    l+8=0

    l=-8, imossible, legnth cannot be negative, disreagard this soultion

    legnth=12cm
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