Question

Please help

Answer 1

Answer:

17 units

Step-by-step explanation:

Distance between points $(a,b)\,,\,(c,d)$ is given by $\sqrt{(c-a)^2+(d-b)^2}$

The trail starts at P(−2, 2) and goes to Q(5, 2).

Take $(a,b)=(-2,2)\,,\,(c,d)=(5,2)$

$PQ=\sqrt{(5+2)^2+(2-2)^2}=\sqrt{7^2}=7$ units

It goes from Q to R(5, −5)

Take $(a,b)=(5,2)\,,\,(c,d)=(5,-5)$

$QR=\sqrt{(5-5)^2+(-5-2)^2}=\sqrt{(-7)^2}=7$ units

It goes from R to S.

Take $(a,b)=(5,-5)\,,\,(c,d)=(8,-5)$

$RS=\sqrt{(8-5)^2+(-5+5)^2}=\sqrt{3^2}=3$ units

$PQ+QR+RS=7+7+3=17$ units