Final answer:
The length of the rectangular work area is found by using the formula for the perimeter of a rectangle and solving for length. The length is 23 inches.
Step-by-step explanation:
To find the length of a rectangular work area given the perimeter and width, you can use the formula for the perimeter of a rectangle, which is p = 2(l + w). The given perimeter is 64 inches, and the width is 9 inches. By substituting these values into the formula, you get 64 = 2(l + 9). Simplify this equation to solve for length. First, remove the 2 by dividing both sides by 2, giving 32 = l + 9. Subtract 9 from both sides to solve for length, which gives l = 23 inches. Therefore, the length of the rectangular work area is 23 inches.
Learn more about Perimeter of a Rectangle