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28 November, 19:39

The length of a side of a rectangle is 6 cm. What should the length of the other side be so that the perimeter of the rectangle is smaller than the perimeter of a square with a side of 4 cm?

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  1. 28 November, 20:03
    0
    The correct answer is:

    3 cm.
  2. 28 November, 20:08
    0
    width < 2 cm

    Step-by-step explanation:

    The formula for the perimeter of a rectangle is:

    P = 2w + 2l, where 'w'=width and 'l'=length

    The forumla for the perimeter of a square is:

    P = 4s, where 's'=length of one side

    The perimeter of a square with side of 4cm: P=4 (4) = 16cm

    Since the length of the rectangle = 6cm, we can set up an inequality to find the measure of the other side:

    2w + 2 (6) < 16 or 2w + 12 < 16

    Subtract 12 from both sides: 2w + 12 - 12 < 16 - 12 or 2w < 4

    Divide and solve: 2w/2 < 4/2 or w < 2 cm
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