Question

The map of a walking trail is drawn on a coordinate grid with three points of interest. The trail starts at R(−2, 4) and goes to S(3, 4) and continues to T(3, −1). The total length of the walking trail is ___

Answer 1

The total length will be "10 units". A further explanation is given below.

Step-by-step explanation:

The given points are:

R(−2, 4)

S(3, 4)

T(3, −1)

On applying the distance formula,

⇒
`RS=√((x_2-x_1)^2+(y_2-y_1)^2)`

⇒
`=√((3-(-2))^2+(4-4)^2)`

⇒
`=√((3+2)^2+(0)^2)`

⇒
`=√(25)`

⇒
`=5 \ units`

and,

⇒
`ST=√((x_2-x_1)^2+(y_2-y_1)^2)`

⇒
`=√((3-3)^2+(-1-4)^2)`

⇒
`=√(0+(-5)^2)`

⇒
`=5 \ units`

Now,

The total trail length will be:

=
`RS+ST`

=
`5+5`

=
`10 \ units`