Question

In a city grid, each block on the east-west streets is 100 meters long. Each block on the north-south streets is 20 meters long. A walker walks 4 blocks west and then 4 blocks south. How much farther did the walker travel than the actual distance between the start and end points?

Answer 1

72.1 m

Step-by-step explanation:

Hello!

When the walker walks west, each block he walks will be of 100 m, so the walker walked 4*100m = 400 m west.

Similarly, when the walker walks south, he walks 20 meters per block, therefore, the walker walked 4*20 m = 80 m south.

Since the directions west and south are perpendicular, the distance between the start ad end point is:

d = √(400^2 + 80^2) m = 407.92 m

However the walker traveled 480 m

Therefore, the walker traveled 480 - 407.9 m = 72.1 m farther than the actual distance