Stanley drew a rectangle that was w inches wide. The expression 2(2w)+2(w) represents the perimeter of the rectangle Stanley drew.Which statement relates the perimeter to the width of the rectangle?

the complete question in the attached figure

we know that
[the perimeter of a rectangle]=2*[length+width]
the perimeter=2(2w)+2(w)----> 2*[2w+w]------> 4w+2w----> 6w
P=6w------->  the perimeter is 6 times the width
so
in this problem
length=2w
width=w

statements
A) The perimeter is 6 inches more than the width------> is not correct
Because we were not given specific lengths

B) The perimeter is 6 times the width.------> is correct
P=6*w

C) The perimeter is 2 inches more than the width.------> is not correct
Because we were not given specific lengths

D) The perimeter is 2 times the width------> is not correct
because the perimeter is 6 times the width

the answer is the option 
B) The perimeter is 6 times the width