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?

Answer 1

Answer:

The answer is 14 units

Step-by-step explanation:

Answer 2

Answer:

Total length of the biking trail is 14 units

Step-by-step explanation:

The trail starts from point P(-3, 2) and touches points Q(1, 2), R(1, -1) and S(8, -1).

We have to calculate the total length of the biking trail.

Since distance between two points are represented by

d = $\sqrt{(x-x')^{2}+(y-y')^{2}}$

So length of PQ = $\sqrt{(1+3)^{2}+(2-2)^{2}}$

PQ = $\sqrt{(4)^{2}}$

PQ = 4 units

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

QR = $\sqrt{(3)^{2}}$

QR = 3 units

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

RS = $\sqrt{(7)^{2}}$

RS = 7 units

Now total biking trail = PQ + QR + RS

= 4 + 3 + 7

= 14 units

Total length of the biking trail is 14 units