Let 'L' and 'W' represent the length and width of the rectangle.
Given that the length is six times the width of the rectangle,

The area (A) of a rectangle is given by,

Given that the area is 150 square feet, the expression becomes,

So the width of the rectangle is 5 feet.
The corresponding length will be,

Consider that the perimeter (P) of a rectangle is given by the formula,

Substitute the values,

Thus, the perimeter of the given rectangle is 70 feet.