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25 February, 08:23

The perimeter of a rectangle is 62 m. Find the length of its sides if it is known that the area of the rectangle is 1980000 cm².

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  1. 25 February, 10:52
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    22m by 9m.

    Step-by-step explanation:

    1980000 cm^2 = 1980000 / 1000 = 198 m^2.

    If the length is L and the width is W, then

    2L + 2W = 62

    LW = 198

    L = 198 / W

    Substitute for L in the first equation:

    2W + 2 (198/W) = 62

    Multiply through by W:

    2W^2 + 396 = 62W

    2W^2 - 62W + 396 = 0

    W^2 - 31W + 198 = 0

    (w - 22) (W - 9) = 0

    so W = 22 or 9.

    when W = 22. L = 198/W = 9

    As L is the longest side L = 22 and W = 9m.
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