Question

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

The trail starts at P(−3, 2) and goes to Q(1, 2).
It continues from Q to R(1, −1) and then to S(8, −1).

What is the total length (in units) of the biking trail?

11
13
14
16

Answer 1

You will have to use your distance formula three times.
Add the lengths of PQ , QR, and RS
I will do QR, you do the other distances , PQ and RS

Q(1,2), R(1,-1)
QR = √( (1-1)^2 + (-1-2)^2 )
= √( 0 + 9)
= 3 units

Just noticed that all your trips are either horizontal or vertical, so this is really easy.
Just count how far you have gone horizontally:
-3 ---> 8 which is 11 units
how far vertically:
2 ----> -1 , that is 3 units

so you have gone 11 units.

Answer 2

25 units