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

14 units because I got it right in my FLVS exam

Explanation:

Answer 2

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

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=√((x_2-x_1)^2+(y_2-y_1)^2)`

We have to find PQ, QR and RS.

`PQ=√((1-(-3))^2+(2-2)^2)=√((1+3)^2)=√(16)=4`

`QR=√((1-1)^2+(-1-2)^2)=√((-3)^2)=√(9)=3`

`RS=√((8-1)^2+(-1-(-1))^2)=√((7)^2)=√(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.