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Elanso [62]
3 years ago
10

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 ___
Biology
1 answer:
Zinaida [17]3 years ago
7 0

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

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