Hi,

Let x and (2x+7)represent the width and length respectively

Question states***

 x(2x+7) = 39 yds^2

 2x^2 + 7x - 39 = 0 

 (2x + 13)(x-3) = 0 

   x = 3   |throwing out the Negative solution

Width = 3 yds and length = 13 yds

CHECKING our Answer***

 3yds*13yds = 39 yds^2 

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