a girl delivering newspaper travels 3 blocks west, four blocks north, then 6 blocks east. What is the total distance she travel
13 blocks in all but ends up on the east side
To find the total distance the girl traveled, we need to calculate the sum of the distances that she traveled in each direction.
First, let's visualize her journey on a coordinate grid. Assume that each block represents a unit distance.
Starting from the origin (0,0), the girl travels 3 blocks west. This takes her to the point (-3,0).
Next, she travels 4 blocks north from (-3,0). This takes her to the point (-3,4).
Finally, she travels 6 blocks east from (-3,4). This takes her to the point (3,4).
To find the total distance traveled, we need to calculate the distance between her starting point and her final destination. We can use the distance formula, which is derived from the Pythagorean theorem.
The distance formula is: distance = √((x2 - x1)^2 + (y2 - y1)^2)
Using the coordinates of the starting point (0,0) and the coordinates of the final destination (3,4), we can calculate the distance.
distance = √((3 - 0)^2 + (4 - 0)^2)
distance = √(3^2 + 4^2)
distance = √(9 + 16)
distance = √25
distance = 5
Therefore, the total distance traveled by the girl is 5 blocks.