Final answer:
The perimeter P of the rectangle with given width (t-9u) and length (4t-4u) should be calculated as P = 2(4t-4u) + 2(t-9u), which simplifies to 10t - 26u. However, this result does not match any of the provided options, indicating there might be an error in the question or options.
Step-by-step explanation:
To find the perimeter of a rectangle, you can use the formula P = 2l + 2w, where l represents the length and w represents the width of the rectangle. In this case, we have the width (w) of the rectangle as (t−9u) centimeters and the length (l) as (4t−4u) centimeters.
Substituting the given expressions for length and width into the perimeter formula:
- P = 2(4t−4u) + 2(t−9u)
- P = 8t − 8u + 2t − 18u
- P = (8t + 2t) − (8u + 18u)
- P = 10t − 26u
However, this answer does not match any of the options provided (a. 9t−13u, b. 8t−13u, c. 5t−5u, d. 6t−13u). It appears there may be an error in the question or the provided options.