Web Analytics
Answered

A group of college students built a self-guided rover and tested it on a plane surface. They programmed the vehicle to move along the path

A–B–C–D–A shown on the coordinate plane. What distance will the rover cover if it completes one circuit?



36 meters

40 meters

54 meters

60 meters

68 meters

Verified Answer :

The answer is 40 meters

Using the formula √(x2-x1)²+(y2-y1)²  on each line to get the distance, then adding them together to get the total perimeter.

line AB=2

(2,11) (4,11)

√(4-2)²+(11-11)²

√4

2

line BC=15

(4,11) (16,2)

√(16-4)²+(2-11)²

√12²+(-9)²

√144+81

√225

15

line CD=14

(16,2) (2,2)

√(2-16)²+(2-2)²

√(-14)²+(0)²

√196

14

line AD=9

(11,2) (2,2)

√(2-11)²+(2-2)²

√-9²+0²

√81

9

Since line AB=2, BC=15, CD=14, and AD=9.

2+15+14+9=40

giving you a final answer of 40 meters

Related Questions