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

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 =

PQ =

PQ =

PQ = √7^2

PQ = 7

Now distance QR

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

QR =

QR =

QR = √49

QR = 7

Now find the distance R and S

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

RS =

RS =

RS = √9

RS = 3

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

= 7 + 7 + 3

= 17 units

Thank you. :)

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