Perimeter of a Parallelogram

Perimeter of a parallelogram Formula

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    A parallelogram is a quadrilateral which has its opposite sides parallel and equal in length. The perimeter of the parallelogram is twice the sum of one pair of its adjacent sides.

    Consider a parallelogram whose adjacent sides are of length ‘a’ and ‘b’.

    Perimeter of a Parallelogram Formula

    Thus, the perimeter of the parallelogram

    P = a + b + a + b

    P = 2a + 2b

    Perimeter of a Parallelogram Formula = 2 (a + b) units

    Solved Examples

    Question: If the adjacent sides of a parallelogram are 9 cm and 5 cm, then its perimeter is given by,

    Solution:

    Formula – P = 2(a + b)

    = 2(9 + 5) = 2(14)

    = 28 cm.

    So, the perimeter of the parallelogram is 28 cm.

    Also Read: Perimeter and Area Formulas for All Shapes Notes

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