Question

The map of a biking trail is drawn on a coordinate grid.

Answer 1

The answer is 10.
The formula for it is easy to use,but difficult to compute in this website,so I won't be writing it out.

Answer 2

Answer:

The total length (in units) of the biking trail is:

                          10 units.

Step-by-step explanation:

We know that the distance between two points A(a,b) and B(a',b') is calculated by using the distance formula:

$=\sqrt{(a'-a)^2+(b'-b)^2}$

It is given that:

The trail starts at P(−2, 2) and goes to Q(5, 2).

This means that the distance traveled in this trail is:

$PQ=\sqrt{(5-(-2))^2+(2-2)^2}\\\\i.e.\\\\PQ=\sqrt{7^2+0^2}\\\\i.e.\\\\PQ=7\ units$

and

The other trail goes from Q to R(5, −5) and then to S(8, −5).

i.e.

the distance traveled is:

$QS=\sqrt{(-5-(-5))^2+(8-5)^2}\\\\i.e.\\\\QS=\sqrt{0^2+3^2}\\\\i.e.\\\\QS=3\ units$

Hence, the total length of the biking trail is:

$PQ+QS=7+3=10\ units$