Question

The perimeter of a parallelogram is 180 cm. One side exceeds the other by 10 cm. What are the lengths of adjacent sides of the parallelogram?.

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Answers

  1. The lengths of adjacent sides of the parallelogram are 40 cm and 50 cm.

    What is a parallelogram?

    A parallelogram is a simple quadrilateral with two pairs of parallel sides.
    Now, suppose a and be are two sides of parallelogram
    Then, Perimeter P = 2( a+ b)
    Now, it is given that perimeter of a parallelogram is 180 cm.
    ⇒ 2( a+ b) = 180
    ⇒ a + b = 90
    It is also given that one side exceeds the other by 10 cm.
    ⇒ a = b + 10
    Putting the value of a in above equation we get,
    b + 10 + b = 90
    ⇒  2b = 90 – 10
    ⇒  2b = 80
    ⇒  b = 40 cm
    Similarly,  a = b + 10
    ⇒  a = 40 + 10
    ⇒  a = 50 cm
    Hence, the required sides of parallelogram are 40cm and 50cm.
    More about parallelogram:
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