Respuesta :

Let the width be x. 
Length: 5"+2x 

102=(5+2x)x 
102=5x+2x²
0=2x²+5x-102 

x=-8.5 or x=6" (I used my graphing calculator to find this) 

Since width cannot be negative, the only solution left would be 6. The length would be (5+2(6))=11"

Hope I helped :)