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The map of a biking trail is drawn on a coordinate grid.

The trail starts at P(−2, 2) and goes to Q(5, 2).
It goes from Q to R(5, −5) and then to S(8, −5).

What is the total length (in units) of the biking trail?

10
16
17
18

1 Answer

5 votes

Answer:

17 units

Explanation:

Distance between points
(a,b)\,,\,(c,d) is given by
√((c-a)^2+(d-b)^2)

The trail starts at P(−2, 2) and goes to Q(5, 2).

Take
(a,b)=(-2,2)\,,\,(c,d)=(5,2)


PQ=√((5+2)^2+(2-2)^2)=√(7^2)=7 units

It goes from Q to R(5, −5)

Take
(a,b)=(5,2)\,,\,(c,d)=(5,-5)


QR=√((5-5)^2+(-5-2)^2)=√((-7)^2)=7 units

It goes from R to S.

Take
(a,b)=(5,-5)\,,\,(c,d)=(8,-5)


RS=√((8-5)^2+(-5+5)^2)=√(3^2)=3 units


PQ+QR+RS=7+7+3=17 units

User Lazarev
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