Biology: 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 ___

The answer would be that it’s frozen...

The map of a walking trail is drawn on a coordinate

mallardmya2006

14.02.2022

The total length will be "10 units". A further explanation is given below.

Explanation:

The given points are:

R(−2, 4)

S(3, 4)

T(3, −1)

On applying the distance formula,

⇒ $RS=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

⇒ $=\sqrt{(3-(-2))^2+(4-4)^2}$

⇒ $=\sqrt{(3+2)^2+(0)^2}$

⇒ $=\sqrt{25}$

⇒ $=5 \ units$

and,

⇒ $ST=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

⇒ $=\sqrt{(3-3)^2+(-1-4)^2}$

⇒ $=\sqrt{0+(-5)^2}$

⇒ $=5 \ units$

Now,

The total trail length will be:

= RS+ST

= 5+5

= $10 \ units$

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