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27 May, 02:28

A rectangular room is 1.5 times as long as it is wide, and its perimeter is30 meters. find the dimension of the room.

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  1. 27 May, 02:44
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    6 meters by 9 meters

    Step-by-step explanation:

    Step 1: Formula for perimeter of rectangle

    Rectangle's perimeter = 2 (length) + 2 (width)

    Rectangle's perimeter = 2 (length + width)

    Step 2: Find the length and width in terms of x

    Width = x

    Length = 1.5 times width

    Length = 1.5x

    Step 3: Find x

    Perimeter = 2 (length + width)

    30 = 2 (1.5x + x)

    30/2 = 2.5x

    15/2.5 = x

    x = 6

    Step 4: Find the length and width

    Width = x = 6 meters

    Length = 1.5x = 1.5 (6) = 9 meters

    Therefore, the dimensions of the room are 6 meters and 9 meters.
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