Question

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.

Answer 1

The answer is B.
2(2w) + 2(w)
4w + 2w = 6w

Answer 2

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