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23 May, 14:14

The perimeter of a rectangle is 42cm and its area is 68cm2. Find its length and breadth.

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  1. 23 May, 16:08
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    Length = 4cm breadth = 17cm

    Explanation:

    Given P = 42 cm and Area = 68cm^2

    So we apply the above values to its formula to find length and breadth

    P = 2L + 2w = 42cm

    L + w = 21cm (dividing the above statement by 2)

    (21-w) w = 68cm^2

    w^2 - 21w + 68 = 0 (moving variables and framing equations)

    (w - 17) (w-4) = 0, w = 4cm, 17cm (calculating the values by using the equation)

    Rectangle is 4cm by 17cm
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