Question

Each gridline represents one mile. If Ryan drove from home to the soccer field and then from the soccer field to the library, traveling in a straight line to each destination, he would have traveled ___ miles by the time he reached the library.

Answer 1

Answer:

13 miles

Step-by-step explanation:

Given that he traveled in a straight line to each destination. Then,

i. distance from his home to soccer field = $\sqrt{x^{2} + y^{2} }$

                                      = $\sqrt{4^{2} + 3^{2}}$

                                      = $\sqrt{16 + 9}$

                                      = $\sqrt{25}$    = 5 miles

ii. The distance from soccer field to the library = 8 miles.

So that we can say that;

Ryan's total distance from home to the library = 5 + 8

                                                      = 13 miles

Thus, Ryan would have traveled 13 miles by the time he reached the library.