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10 June, 12:53

A rectangle has a length 2 cm larger than its width.

(a) If the perimeter of the rectangle is 14 cm, what are the dimensions of the rectangle?

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  1. 10 June, 15:37
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    The width is 5/2 = 2.5 cm

    The length is 9/2 = 4.5cm

    Step-by-step explanation:

    The length is 2 longer than the width

    l = w+2

    The perimeter is 14

    P = 2 (l+w)

    14 = 2 (l+w)

    Replace l with w+2

    14 = 2 (w+2+w)

    14 = 2 (2w+2)

    Divide each side by 2

    14/2 = 2/2 (2w+2)

    7 = 2w+2

    Subtract 2

    7-2 = 2w+2-2

    5 = 2w

    Divide by 2

    5/2 = w

    The length is w+2

    5/2+2

    5/2+4/2 = 9/2

    The width is 5/2 = 2.5

    The length is 9/2 = 4.5
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