Answer:
[tex]\displaystyle \boxed{W=x+1}[/tex]
Step-by-step explanation:
Area of a rectangle
A rectangle of length L and width W has an area of:
A = L*W
If the area and one of the dimensions are given, we can calculate the other dimension by solving the resulting equation.
The area of the given rectangle is 6x+6 square centimeters, and its length is 6 cm, thus we can establish the equation:
[tex]6W=6x+6[/tex]
Solving for W:
[tex]\displaystyle W=\frac{6x+6}{6}[/tex]
The numerator 6x+6 can be factored as 6(x+1). Replacing in the equation:
[tex]\displaystyle W=\frac{6(x+1)}{6}[/tex]
Simplifying, the width of the rectangle in cm is:
[tex]\displaystyle \boxed{W=x+1}[/tex]
