Length of the walking trail is 12 units.
Explanation:
Three points of the walking trail are R(-1,4),S(5,4)and T(5,-2). so we have to calculate the distance between points R and S and also between S and T. finding the sum of these distances would give the distance of the walking trail.
The equation to calculate the distance between two points [tex](x_1,y_1 )[/tex] and [tex](x_2,y_2 )[/tex] is
[tex]\sqrt{((x_2-x_1 )^2+(y_2 -y_1 )^2 )}[/tex]
RS= [tex]\sqrt{((5+1)^2+(4-4)^2 )}[/tex]
=[tex]\sqrt{36} =6[/tex]
ST= [tex]\sqrt{((5-5)^2+(-2-4)^2 )}[/tex]
=[tex]\sqrt{36} = 6[/tex]
length of the walking trail = RS+ST= 6+6 =12
