Question

Suppose Tommy walks from his home at (0, 0) to the mall at (0, 6), and then walks to a movie theater at (7, 6). After leaving the theater Tommy walks to the store at (7, 0) before returning home. If each grid square represents one block, how many blocks does he walk?

Answer 1

26 blocks

Explanation:

To determine the number of blocks Tommy walked, you will calculate the distances between each of his points (ordered pairs).

Using the distance formula i.e
`√((c-a)^2+(d-b)^2)`

(0,0) to (0,6) is :
`√((0-0)^2+(6-0)^2)` = 6 blocks

(0,6) to (7,6) is:
`√((7-0)^2+(6-6)^2)`= 7 blocks

(7,6) to (7,0) is:
`√((7-7)^2+(0-6)^2)` = 6 blocks

(7,0) to (0,0) is:
`√((0-7)^2+(0-0)^2)` = 7 blocks, back home

This totals 26 blocks that Tommy walked.