Hi,         

Let x and 10x represent the width and the length respectively

P = 2*l + 2*w

154ft = 2(10x) + 2*x

solving for x

154ft = 22x

x = 7ft , the width.  The length is 70ft   (10*7ft)



CHECKING our Answer

 2*7ft + 2*70ft = 14ft + 140ft = 154ft 

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