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.)

Answer 1

Given:

The map of a walking trail starts at R(-1,4) and goes to S(5,4) and continues to T(5,-2).

To Find:

The total length of walking trail is

Solution:

Distance Formula = $D = \sqrt{(x_{2} - x_{1} )^{2} + (y_{2} - y_{1} )^{2} }$

We need to find the total distance of the trail.

total trail =  RS + ST

R(-1,4)   S (5,4)   T(5,-2)

$RS= \sqrt{(5 - (-1) )^{2} + (4 - 4 )^{2} } \\\\RS= 6 units$

$ST= \sqrt{(5 - 5 )^{2} + (-2 - 4 )^{2} } \\\\\\ST= 6 units$

Total distance of trail = RS + ST = 6 + 6 = 12 units.

The total length of walking trail is 12 units.

Answer 2

Doing so the other guy can get brainliest