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 ___

Answer 1

Answer:

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:

= $RS+ST$

= $5+5$

= $10 \ units$