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

Answer:

Third option is correct. The total length of biking trial is 14 units.

Step-by-step explanation:

It is given that 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).

The distance formula is

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

We have to find PQ, QR and RS.

$PQ=\sqrt{(1-(-3))^2+(2-2)^2}=\sqrt{(1+3)^2}=\sqrt{16}=4$

$QR=\sqrt{(1-1)^2+(-1-2)^2}=\sqrt{(-3)^2}=\sqrt{9}=3$

$RS=\sqrt{(8-1)^2+(-1-(-1))^2}=\sqrt{(7)^2}=\sqrt{49}=7$

The total length of h trail is

$L=PQ+QR+RS$

$L=4+3+7$

$L=14$

Therefore total length of biking trial is 14 units.

Answer 2

Answer:

14 units because I got it right in my FLVS exam

Step-by-step explanation: