Question

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.) Numerical Answers Expected! Answer for Blank 1:

Answer 1

Length of the walking trail is 12 units.

Step-by-step 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
`(x_1,y_1 )` and
`(x_2,y_2 )` is

`√(((x_2-x_1 )^2+(y_2 -y_1 )^2 ))`

RS=
`√(((5+1)^2+(4-4)^2 ))`

=
`√(36) =6`

ST=
`√(((5-5)^2+(-2-4)^2 ))`

=
`√(36) = 6`

length of the walking trail = RS+ST= 6+6 =12