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28 November, 03:02

The perimeter of a rectangular flower garden is 66m and its area is 272m^2. Find the length of the garden.

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  1. 28 November, 03:18
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    So we have lengths a and b and are given:

    2a+2b = 66 = > a+b = 33 = > a = 33-b

    a*b = 272

    plug in one into the other:

    (33-b) b = 272 = > - b^2 + 33b - 272 = 0

    Can be factored as (b-16) (b-17) = 0, if you don't "see" this immediately, use the well known abc formula to find b.

    So a=16 and b=17 or vice versa.
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