Answer: [tex]x(x+4)[/tex]
Step-by-step explanation:
Given
The rug is 4 feet longer than its width
Suppose the length of the width is x
Length is given by x+4
So, the product of length and width is equal to the area of the rug
[tex]\Rightarrow x\left(x+4\right)=A\quad\quad [\text{A=Area of rug}][/tex]