A paved pedestrian path is 5 metres wide. A yellow line is painted down the middle. If the edges of the path measure $40 \mathrm{~m}, 10 \mathrm{~m}, 20 \mathrm{~m}$, and $30 \mathrm{~m}$, as shown, what is the length of the yellow line?
(A) $100 \mathrm{~m}$
(D) $92.5 \mathrm{~m}$
(B) $97.5 \mathrm{~m}$
(C) $95 \mathrm{~m}$
(E) $90 \mathrm{~m}$

![](https://cdn.mathpix.com/cropped/2024_04_20_6027bc27089ed4fc493cg-096.jpg?height=480&width=718&top_left_y=2118&top_left_x=1105)
A paved pedestrian path is 5 metres wide. A yellow line is painted down the middle. If the edges of the path measure $40 \mathrm{~m}, 10 \mathrm{~m}, 20 \mathrm{~m}$, and $30 \mathrm{~m}$, as shown, what is the length of the yellow line?
(A) $100 \mathrm{~m}$
(B) $97.5 \mathrm{~m}$
(C) $95 \mathrm{~m}$
(D) $92.5 \mathrm{~m}$
(E) $90 \mathrm{~m}$

![](https://cdn.mathpix.com/cropped/2024_04_20_748fdafcde2a47412608g-432.jpg?height=479&width=705&top_left_y=1468&top_left_x=1103)

## Solution

Since the path is 5 metres wide, a line in the middle is always $2.5 \mathrm{~m}$ from its edges.

Thus the total length is, $37.5+10+20+27.5$

$$
=95 \mathrm{~m}
$$

ANSWER: (C)