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30 July, 08:21

The width of a rectangle is twice it's height if the perimeter is 54 inches find the area

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Answers (2)
  1. 30 July, 09:21
    0
    Let the height be x.

    ⇒ Height = x

    The width of a rectangle is twice it’s height.

    ⇒ Width = 2x

    Perimeter = 54

    ⇒2 (x + 2x) = 54

    Solve x:

    2 (x + 2x) = 54

    Combine like terms:

    2 (3x) = 54

    Distribute 2:

    6x = 54

    Divide both sides by 6:

    x = 9

    Height = x = 9

    Width = 2x = 2 (9) = 18

    Area = 9 x 18 = 162 in²

    Answer: 162 in²
  2. 30 July, 09:42
    0
    The area is 162.

    You can get this by solving for the sides. One side will be 9 and the other will be 18. This is because the perimeter must be 6x since one side is x and the other would be 2x.
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