The perimeter of parallelogram ABCD is 96 cm. AD is 3 cm more than twice AB. Find the lengths of all four sides of ABCD.

Question

The perimeter of parallelogram ABCD is 96 cm. AD is 3 cm more than twice AB. Find the lengths of all four sides of ABCD.

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Euphemia 1 year 2021-08-23T12:09:39+00:00 1 Answers 47 views 0

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    2021-08-23T12:11:30+00:00

    Step-by-step explanation:

    perimeter of parallelogram=2(AD+AB)

    Also, AD=2AB+3

    So,

    96=2(2AB+3+AB)

    48=3AB+3

    45=3AB

    therefore,AB=15cm=CD

    Also,AD=BC=2AB+3

    =2×15+3

    =33

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