Question

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

Answer 1

17 units

Explanation:

Answer 2

Therefore, the total length (in units) of the biking trail = 17 units

Step by step explanation

Here we have to use the distance formula to find the distance from P to Q, Q to R and R to S.

That is PQ, QR and RS

The distance formula =
`√((x2 - x1)^2 + (y2 - y1)^2)`

PQ =
`√((5 - (-2)^2 + (2 -2)^2)`

PQ =
`√((5 +2)^2 + 0^2)`

PQ = √7^2

PQ = 7

Now distance QR

Q = (5, 2) and R = (5, -5)

QR =
`√((5 - 5)^2 + (-5 - 2)^2)`

QR =
`√(0^2 + (-7)^2)`

QR = √49

QR = 7

Now find the distance R and S

R = (5, -5) and S = (8, -5)

RS =
`√((8 - 5)^2 + (-5 - (-5))^2)`

RS =
`√((3)^2 + 0^2)`

RS = √9

RS = 3

Therefore, the total length (in units) of the biking trail = PQ + QR + RS

= 7 + 7 + 3

= 17 units

Thank you. :)