14. Two sides of a parallelogram are in the ratio 5 : 3 and its perimeter is 48 cm. Find the length of each of its sides.​

Question

14. Two sides of a parallelogram are in the ratio 5 : 3 and its perimeter is 48 cm. Find
the length of each of its sides.​

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Helga 6 months 2021-08-20T17:44:04+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-08-20T17:45:39+00:00

    Answer:

    length = 15

    breadth = 9

    Step-by-step explanation:

    let the ratio constants be x

    so length = 5x

    breadth = 3x

    area of parallelogram= 2 (l+b) = 2 (5x + 3x) = 2 (8x)

    = 16x = 48

    = x = 48/16

    = x = 3

    so length = 5× x = 5× 3 = 15

    and breadth = 3 × x = 3 × 3 = 9

    0
    2021-08-20T17:45:56+00:00

    Answer :-

    Given :-

    • Ratio of two Sides of Parallelogram ( Length and breadth) = 5 : 3
    • Perimeter of the parallelogram = 48cm

    To Find :-

    • Length of each side of the parallelogram

    Formula :-

    Perimeter of the parallelogram = 2( length + breadth)

    Solution :-

    Let the length and breadth be 5x and 3x

    2(5x + 3x) = 48cm

    2(8x) = 48cm

    x = 48/16

    x = 3cm

    Length = 5x = 5×3cm = 15cm

    Breadth = 3x = 3×3cm = 9cm

    We know that,

    In parallelogram Opposite sides are equal

    Hence, The sides of the Parallelogram are 15cm, 9cm, 15cm and 9cm

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