Answer:
The expression is [tex]P=\frac{8x+18}{3}[/tex]
Step-by-step explanation:
Given : The width of the rectangular drawing is one third the length plus 3 inches.
To find : What is the perimeter of the drawing?
Solution :
Let the length of the rectangular drawing is l=x.
The width of the rectangular drawing is one third the length plus 3 inches.
i.e. [tex]w=\frac{x}{3}+3[/tex]
The perimeter of the drawing is [tex]P=2(l+w)[/tex]
[tex]P=2(x+\frac{x}{3}+3)[/tex]
[tex]P=2(\frac{3x+x+9}{3})[/tex]
[tex]P=2(\frac{4x+9}{3})[/tex]
[tex]P=\frac{8x+18}{3}[/tex]
The expression is [tex]P=\frac{8x+18}{3}[/tex]
