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24 September, 01:45

A rectangle has a length of 11 meters less than 10 times its width. If the area of the rectangle is 9888 square meters, find the length of the rectangle.

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Answers (1)
  1. 24 September, 01:55
    0
    Step-by-step explanation:

    The Length,

    L

    =

    284

    f

    t

    .

    Explanation:

    Given:

    Rectangle

    Area,

    A

    =

    8804

    f

    t

    2

    let W bet he width of the rectangle

    L be the length of the rectangle

    L

    =

    10

    W

    -

    26

    E

    q

    u

    a

    t

    i

    o

    n

    1

    substitute to

    e

    q

    u

    a

    t

    i

    o

    n

    2

    A

    =

    (

    L

    )

    (

    W

    )

    e

    q

    u

    a

    t

    i

    o

    n

    2

    A

    =

    (

    10

    W

    -

    26

    )

    (

    W

    )

    8804

    =

    (

    10

    W

    -

    26

    )

    (

    W

    )

    factor

    8804

    =

    2

    (

    5

    W

    -

    13

    )

    (

    W

    )

    divide both sides by 2

    4402

    =

    (

    5

    W

    -

    13

    )

    (

    W

    )

    4402

    =

    5

    W

    2

    -

    13

    W

    transposing 4402 to the right side of the equation

    0

    =

    5

    W

    2

    -

    13

    W

    -

    4402

    by quadratic formula

    W

    =

    -

    (

    -

    13

    )

    +



    (

    -

    13

    )

    2

    -

    4

    (

    5

    )

    (

    -

    4402

    )

    2

    (

    5

    )

    W

    =

    [

    13

    +



    169

    +

    88040

    ]

    10

    W

    =

    13

    +

    (



    88209

    )

    10

    W

    =

    13

    +

    297

    10

    W

    =

    310

    10

    W

    =

    31

    ft

    Thus,

    L

    =

    10

    W

    -

    26

    =

    10

    (

    31

    )

    -

    26

    L

    =

    284

    f

    t

    .

    answer

    W

    =

    -

    (

    -

    13

    )

    -



    -

    (

    -

    13

    2

    )

    -

    4

    (

    5

    )

    (

    -

    4402

    )

    2

    (

    5

    )

    this is discarded since this will yield a negative
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