Mathematics: The trail starts at P(−7, 6) and goes to Q(4, 6). It goes from Q to R(4, −6) and then to S(6, −6). What is the total length (in units) of the biking trail?

The trail starts at P(−7, 6) and goes to Q(4,

izzyisawesome5232

08.02.2022

We know, distance between two points A( p,q) and B(r,s) is given by :

$AB=\sqrt{(p-r)^2+(q-s)^2}$

So, distance between P an Q is :

$PQ=\sqrt{(-7-4)^2+(6-6)^2}\\\\PQ=11\ units$

Distance between Q and R is :

$QR=\sqrt{(4-4)^2+(6-(-6))^2}\\\\QR=12\ units$

Distance between R and S is :

$RS=\sqrt{(4-6)^2+(-6-(-6))^2}\\\\RS=\sqrt{4}\\\\RS = 2\ units$

Therefore, total distance is 11 + 12 + 2 = 25 units.

Hence, this is the required solution.

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