A rectangle has a perimeter of 42 and a width of 4 . What is its length?
(A) 19
(B) 17
(C) 34
(D) 21
(E) 38

![](https://cdn.mathpix.com/cropped/2024_04_20_6027bc27089ed4fc493cg-035.jpg?height=185&width=390&top_left_y=1531&top_left_x=1301)
The two equal widths, each of length 4 , contribute $2 \times 4=8$ to the perimeter of the rectangle. The two lengths contribute the remaining $42-8=34$ to the perimeter.

Since the two lengths are equal, they each contribute $34 \div 2=17$ to the perimeter.

Therefore, the length of the rectangle is 17 .

ANsWER: (B)