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9 November, 14:07

A rectangle is 3 times as long as it is wide, and its perimeter is 48 centimeters. Find its dimensions. width cm length cm

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  1. 9 November, 16:25
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    The perimeter of a rectangle is defined as,

    P = 2 (l + w)

    P = perimeter

    l = length of rectangle

    w = width of rectangle.

    In our instance,

    P = 48 cm

    l = 3w

    w = w.

    Plug our values into the perimeter formula above.

    48 cm = 2 (3w + w).

    Simplify the right side.

    48 cm = 2 (4w).

    Multiply 2 by 4w.

    48 cm = 8w.

    Divide each side by 8.

    6 cm = w.

    We know the length is 3 times as much as the width, therefore,

    l = 3 (6).

    Multiply 3 by 6.

    l = 18 cm.

    The length is 18 cm and the width is 6 cm.
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