Hi,

The length of a rectangle is 11 more than twice the width 

A = 

(2x+11)x = 63m^2

 2x^2 + 11x - 63 = 0

(2x -7)(x+ 9) = 0,   x = 7/2  (Tossing out the negative solution for unit measure)

 width is 3.5m   and length is 18m             

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