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 = [tex]\sqrt{(x-x')^{2}+(y-y')^{2}}[/tex]
So length of PQ = [tex]\sqrt{(1+3)^{2}+(2-2)^{2}}[/tex]
PQ = [tex]\sqrt{(4)^{2}}[/tex]
PQ = 4 units
QR = [tex]\sqrt{(1-1)^{2}+(2+1)^{2}}[/tex]
QR = [tex]\sqrt{(3)^{2}}[/tex]
QR = 3 units
RS = [tex]\sqrt{(8-1)^{2}+(-1+1)^{2}}[/tex]
RS = [tex]\sqrt{(7)^{2}}[/tex]
RS = 7 units
Now total biking trail = PQ + QR + RS
= 4 + 3 + 7
= 14 units
Total length of the biking trail is 14 units
