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24 December, 15:45

the width of a rectangle is 37 cenimeters. find all possible values for the length of the rectangle if the perimeter is at least 596 centimeters

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  1. 24 December, 15:50
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    (NOTE: I am using a capital "L" to avoid confusion with the number "1")

    Perimeter (P) ≥ 596

    (NOTE: We will be using "≥" because the perimeter is AT LEAST 596)

    Perimeter (P) = 2w · 2L

    596 ≥ 2 (37) + 2L

    596 ≥ 74 + 2L

    522 ≥ 2L

    L ≥ 261 cm

    Length ≥ 261 cm

    The length is greater than or equal to 261 cm.
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