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

the trail starts at p(−2, 2) and goes to q(5, 2).
it goes from q to r(5, −5) and then to s(8, −5).

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

10
16
17
18

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

                          10 units.

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

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:

and

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

i.e.

the distance traveled is:

Hence, the total length of the biking trail is:

80x^8−68x^6+16^5−20x^4−4x^3+8x^2

hope i'm right lol