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22 March, 17:24

A farmer has a rectangular field with dimensions $2m+7$ and $m-2$. If the field has an area of 51 square units, what is the value of $m$?

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  1. 22 March, 21:15
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    Area is given by the formula

    Area = length*width

    Filling in the given information, we have

    51 = (2m+7) * (m-2)

    2m² + 3m - 65 = 0

    (m - 5) (2m + 13) - 0

    m = - 13/2 or 5

    Since dimensions of physical objects are non-negative, the value of m is 5.
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