The map of a walking trail is drawn on 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 units. (Input whole numbers only.)

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12 units

Step-by-step explanation:

Given the points :

R(−3, 2) - - - > S(2, 2) - - - - > T(2, −5).

Distance between R and S

Distance between two points is obtained thus :

D = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Distance between R and S

x1 = - 3 ; y1= 2 ; x2 = 2 ; y2 = 2

D1 = sqrt((2 - (-3))^2 + (2 - 2)^2)

D1 = sqrt((5^2 + 0^2))

D1 = sqrt(25)

D1 = 5

Distance between S and T

x1 = 2 ; y1= 2 ; x2 = 2 ; y2 = - 5

D2 = sqrt((2 - 2)^2 + (-5 - 2)^2)

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

D2 = sqrt(49)

D2 = 7

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

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step-by-step explanation: