Answer:
The perimeter of the new rectangle in simplified expression can be given as:
[tex]2l+2w+312[/tex]
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 = [tex]l[/tex] inches
New length of rectangle = [tex](96+l)[/tex] inches
Let increase in width be = [tex]w[/tex] inches
New width of rectangle = [tex](60+w)[/tex] inches
The perimeter of a rectangle is given by :
⇒ [tex]2(length+width)[/tex]
Substituting the new length and width of the triangle.
⇒ [tex]2(96+l+60+w)[/tex]
Simplifying.
⇒ [tex]2(l+w+156)[/tex]
Using distribution.
⇒ [tex]2l+2w+312[/tex]
Thus, the perimeter of the new rectangle in simplified expression can be given as:
[tex]2l+2w+312[/tex]
