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

$\LARGE\fbox{Answer}$

The total length of the walking trail is 12 units.

Step-by-step explanation:

$\left\{\sf{Refer\:to \:the \:attachment \:for\:better \:understanding }\right\}$

$\huge \underline {Case\:I}:-$

When trail starts from R goes till S, then the distance covered will only along the x-axis as the y-coordinates are the same, thus we have:-

Using the graph we get the distance from R to S as 6 units.

$\huge \underline {Case\:II}:-$

And when trail moves from S to T we can observe from the graph that the distance is covered only along the y-axis also x-coordinates are the same so the distance covered S to T is 6 units.

So ,the total distance covered by the trail is 12 units.