Sammy drew a rectangle that was w inches wide. The expression 2 (2w) + 2 (w) represents the perimeter of the rectangle that Sammy drew. Which statement relates the perimeter to the width of the rectangle? A) The perimeter is 6 inches more than the width. B) The perimeter is 6 times the width. C) The perimeter is 2 inches more than the width. D) The perimeter is 2 times the width.

We know that perimiter is

p=2legnth+2width

the equation they gave us is

p=2 (2w) + 2w

so we know that 2 (2w) = 2legnth so 2w=legnth

so p=2 (2w) + 2w

p=4w+2w

p=6w

A. we were not given specific legnths so this is false

B. the perimiter is 6 times the legnth p=6w so this is the answer

C. we were not given specific legnths so this is false

D. this is false because perimeter is 6 times the width

the answer is B

The answer is B.

2 (2w) + 2 (w)

4w + 2w = 6w