Question

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 represented on the coordinate plane. What distance will the rover cover if it completes one circuit?

Answer 1

Unable to open the file... What are the coordinates of the points?

Answer 2

A-11,2
B-11,5
C-2,16
D-2,2

Answer 3

The length of the path will the be sum of the distances between [A and B], [B and C], [C and D], and [D and A].

The distance between two points \((x_1,y_1)\) and \((x_2,y_2)\) is given as
\[d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}\]
For instance, the distance between \((11,2)\) and \((11,5)\) is
\[\large d_{A-B}=\sqrt{(11-11)^2+(2-5)^2}=\sqrt{0+(-3)^2}=\sqrt9=3\]
Do this for all paths and add up the total.