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1 July, 04:34

The perimeter of a rectangle is twice the sum of its length and its width. The perimeter is 28 meters and its length is 2 meters more than twice it's width.

What is it's Length?

+5
Answers (2)
  1. 1 July, 06:17
    0
    The perimeter of the rectangle

    =

    28

    meters.

    Let the width be denoted as

    x

    ,

    The length

    =

    2

    +

    2

    *

    (

    x

    )

    =

    2

    +

    2

    x

    (length is 2 meters more than twice the width)

    The formula for perimeter of a rectangle is:

    perimeter =

    2

    *

    (width + length)

    28

    =

    2

    *

    (

    x

    +

    2

    +

    2

    x

    )

    28

    =

    2

    *

    (

    3

    x

    +

    2

    )

    28

    =

    2

    *

    (

    3

    x

    )

    +

    2

    *

    (

    2

    )

    28

    =

    6

    x

    +

    4

    6

    x

    =

    28

    -

    4

    6

    x

    =

    24

    x

    =

    24

    6

    The width

    x

    =

    4

    meters.

    The lenght

    2

    +

    2

    x

    =

    2

    +

    2

    *

    4

    =

    2

    +

    8

    =

    10

    meters.
  2. 1 July, 07:08
    0
    The length is 9 meters long.
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