Answer:
[tex]\frac{60}{11}[/tex] feet
Step-by-step explanation:
Rectangle 1:
6 x Width = Area
Rectangle 2:
5 x Width = Area
Total Area = Area of Rectangle 1 + Area of Rectangle 2 = 60 square feet
Take Width as [tex]x[/tex] as the widths of both rectangles are the same:
[tex]5x + 6x = 60\\\\11x = 60\\\\x = \frac{60}{11}[/tex]