We are given that the hall has a rectangular shape.
Area of rectangle can be calculated using the following rule:
Area of rectangle = length * width
We are also given that:
Area = 7400 square feet
length = 82 feet
Substitute with the givens in the above equation to get the width as follows:
Area of rectangle = length * width
7400 = 82 * width
width = 7400 / 82
width = 90.24390244 feet