Final answer:
To find the width of the rectangle, divide the area by the length. After factoring the expression for the area, it is found that the width of the rectangle is 2x + 3 inches.
Step-by-step explanation:
The area of the rectangle is given as (32x + 48) square inches, and we are told that the length of the rectangle is 16 inches. To find the width, we'll need to divide the area by the length:
Area = Length × Width
Width = Area ÷ Length
Substitute the given values into this formula:
Width = (32x + 48) ÷ 16
By factoring out the common factor of 16 from the area expression, we get:
Width = 16(2x + 3) ÷ 16
After canceling out the common factors, we find:
Width = 2x + 3
The expression for the width of the rectangle is 2x + 3 inches.