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16 February, 11:50

The perimeter of a rectangle is 524cm. The length is is 42cm more than the width. What is the length of the rectangle?

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  1. 16 February, 12:14
    0
    Perimeter = 524cm

    Width = 215cm

    Length = 173cm
  2. 16 February, 12:16
    0
    Represent L as L = W + 42.

    Then P = 2W + 2L

    Here, P = 524 cm = 2W + 2 (W+42) = 2W + 2W + 84 = 4W + 84

    Solving 524 = 4w + 84, 4W = 524-84 = 440.

    Dividing both sides by 4: W = 110 cm. Then L = 110+42 = 152.

    Check: Does 2 (110) + 2 (152) = 524? YES

    W = 110 cm and L = 152 cm
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