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 what units

Answer 1

Explanation:

Using the formula for distance, D given 2 coordinates (see attached)

Given

R(-2,4) S(3,4) T(3,-1)

Distance RS = √ { [ (-2) -3]² + [4-4]² } = √25 =5 units

Distance ST = √ { [ (3 -3]² + [4-(-1)]² } = √25 = 5 units

Total distance = RS + ST = 5 + 5 = 10 units

Answer 2

10 units

Explanation:

Points R and S both have y-coordinate 4, so they are on the same horizontal line. The distance between them is the absolute value of the difference of the x-coordinates.

RS = |-2 - 3| = |-5| = 5

Points S and T both have x-coordinate 3, so they are on the same vertical line. The distance between them is the absolute value of the difference of the y-coordinates.

ST = |-1 - 4| = |-5| = 5

The total length of the trail is the sum of the two distances.

total length = 5 + 5 = 10