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6 January, 12:25

A rectangle has an area of 2020cm2. All side lengths are a whole number in centimetres. What is the greatest possible number of centimetres in the perimeter of the rectangle

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  1. 6 January, 12:30
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    The greatest possible number of centimeters in the perimeter of the rectangle is 1009.

    Step-by-step explanation:

    The perimeter of a rectangle with length l, and breadth b is given as

    P = 2 (l + b)

    Since we are told it has an area of 2020 cm²,

    This means that

    2 (l + b) = 2020

    or

    l + b = 1010

    The length can be 1009cm while the breadth is 1cm l, or vice versa.

    So, the greatest possible number of centimeters in the perimeter of the rectangle is 1009
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