The map of a walking trail is drawn on a coordinate grid with three points of interest. The trail starts at R(−1, 4) and goes to S(5, 4) and continues to T(5, −2). The total length of the walking trail is ____ units. (Input whole numbers only.)

Question

supie · Answer

$\bf\ First\ we\ have\ to\ know\ the\ the\ formula\ for\ distance $

$\sf\ Distance\ Formula:$ $$D=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$$

supie · Answer

$$\bf\ RS + ST$$ is to get the `total trail` 
So we have to find the ordered pairs of the variables, R, S, and T
$R(-1,\ 4)\ S(5,\ 4)\ T(5,\ -2$)

supie · Answer

So, we have $$RS=\sqrt{\left(5-\left(-1\right)\right)^2+\left(4-4\right)^2}$$

supie · Answer

So basically, the fastest and easy way would be $$RS=\sqrt{\left(5-\left(-1\right)\right)^2+\left(4-4\right)^2}$$$$RS=√(5+1)^2$$$$RS=√6^2$$$$RS=√(2*3)^2$$RS=2^2/2*3^2/2 = RS=2*3 = RS=6  
$\frac{RS}{S}=\frac{6}{s}$=$R=\frac{6}{s}$$\sf\ meaning\ that\ RS=6$

supie · Answer

Then do the same for the second one and add the two  end trails together then that will give you your answer :)