In the diagram, the rectangle has a width of $w$, a length of 8 , and a perimeter of 24 . What is the ratio of its width to its length?
(A) $1: 4$
(B) $1: 3$
(C) $1: 2$
(D) $3: 8$
(E) $2: 3$

![](https://cdn.mathpix.com/cropped/2024_04_20_6ed09463f225f8ba1f07g-104.jpg?height=242&width=317&top_left_y=2351&top_left_x=1294)
Since the rectangle has width $w$, length 8 , and perimeter 24 , then $2 w+2(8)=24$ or $2 w+16=24$ or $2 w=8$ or $w=4$.

Therefore, the ratio of the width to the length is $4: 8=1: 2$.

ANswer: (C)