Question

The map of a walking trail is drawn a coordinate grid with three points of interest. The trail starts at R(-3,2) and goes to S(2,2) and continues to T(2,-5). The total length of the walking trail is ____?

Answer 1

12 units

Explanation:

Given that :

R(-3,2)

S(2,2)

T(2,-5).

The total length ;

Distance between two points : √[(x2 - x1)² + (y2 - y1)²]

Distance between R and S :

R = (-3,2)

S(2,2)

√[((2 - (-3))^2 + (2 - 2)^2]

Sqrt(5^2 + 0^2)

D1 = 5 units

Distance between S and T:

S(2,2)

T(2,-5).

D2 = √[(2 - 2)^2 + (-5 - 2)^2]

D2 = sqrt(0^2 + (-7)^2)

D2 = 7 units

Hence, total length = D1 + D2 = (5 + 7) = 12 units