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30 November, 15:38

The length and width of each rectangle is given. Which rectangle will not have the same perimeter as the others? l = 12, w = 12 l = 14, w = 9 l = 8, w = 16 l = 13, w = 11

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  1. 30 November, 18:18
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    Rectangle 2 (l = 14, w = 9) will not have same perimeter as the others

    Solution:

    Given length and width of the 4 rectangles.

    Rectangle 1: length = 12 units, width = 12 units

    Perimeter of the rectangle = 2 (length + breadth)

    Perimeter of rectangle 1 = 2 (12 + 12)

    = 2 * 24

    = 48 units

    Perimeter of rectangle 1 = 48 units

    Rectangle 2: length = 14 units, width = 9 units

    Perimeter of rectangle 2 = 2 (14 + 9)

    = 2 * 23

    = 46 units

    Perimeter of rectangle 2 = 46 units

    Rectangle 3: length = 8 units, width = 16 units

    Perimeter of rectangle 3 = 2 (8 + 16)

    = 2 * 24

    = 48 units

    Perimeter of rectangle 3 = 48 units

    Rectangle 4: length = 13 units, width = 11 units

    Perimeter of rectangle 4 = 2 (13 + 11)

    = 2 * 24

    = 48 units

    Perimeter of rectangle 4 = 48 units

    Hence rectangle 2 (l = 14, w = 9) will not have same perimeter as the others.
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