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28 December, 05:26

the width of a rectangle is 5 units less than the lenght. if the area is 104 square units, then find the dimensions of the rectangle

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Answers (2)
  1. 28 December, 07:18
    0
    The length is 13 and width is 8

    Step-by-step explanation:

    Let the length is L

    Width will be L-5

    Area of rectangle = Length x Width

    Putting the values

    104 = L x L-5

    104=l (l-5)

    Simplify both sides of the equation.

    104=l²-5l

    Subtract l²-5l from both sides.

    104 - (l²-5l) = l²-5l - (l²-5l)

    -l²+5l+104=0

    Factor left side of equation.

    (-l-8) (l-13) = 0

    Set factors equal to 0.

    -l-8=0 or l-13=0

    l=-8 or l=13

    We will take l = 13 because length cannot be negative

    Now for width we know that w = l - 5

    So width is 13 - 5 = 8
  2. 28 December, 07:30
    0
    No te entiende hgdchecjj. E I'll s j e he irk a. Iei
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