Answer:
The perimeter of the new rectangle in simplified expression can be given as:

Step-by-step explanation:
The question is incomplete.
The actual question should be:
A rug maker is using a patter that is a rectangle with a length of 96 inches and a width of 60 inches. The rug maker wants to increase each dimension by a different amount. Let l and w be the increases in inches of the length and width. write and simplify an expression for the perimeter of the new pattern.
Solution:
Original length of the rectangular pattern = 96 inches
Original width of the rectangular pattern = 60 inches
Let increase in length be =
inches
New length of rectangle =
inches
Let increase in width be =
inches
New width of rectangle =
inches
The perimeter of a rectangle is given by :
⇒ 
Substituting the new length and width of the triangle.
⇒ 
Simplifying.
⇒ 
Using distribution.
⇒ 
Thus, the perimeter of the new rectangle in simplified expression can be given as: