Worth 10 points!
mara decides to plot her neighborhood on a coordinate plane. she plots her house at the point (0,0), her school is located at (0,8), the library at (3,8), and the softball field is at (3,0). one day she decides that after school she will run by the library to grab a book, and then head to softball practice and then back home. how far on the coordinate plane does she travel starting at home that morning? leave your answer in units.
a) 11 units
b) 14 units
c) 19 units
d) 22 units

Option: D is the correct answer.

D) 22 units.

Her home is located at: (0,0)

School at (8,0)

Library at (3,8)

and softball field is located at (3,0) on the coordinate plane.

Now, that morning she starts from home then goes to school then after school she goes to Library and then after library she goes to softball field and returns back home.

Home→ school → Library → Softball field → Home.

This means that she covers the boundary of the rectangle that is formed by the location of the points.

This means in order to find the total distance she traveled we need to find the perimeter of the rectangle.

Length of One side of rectangle(a)= 8 units.

Length of the other side of rectangle(b) = 3 units.

Hence,

Perimeter of rectangle= 2(a+b)

                                    = 2(8+3)

                                   =2×11

                                   = 22 units.

Hence, the total distance she traveled is:

                       22 units.  

  q

step-by-step explanation:

each line from a vertex to the midpoint of the opposite side is called a median. the point where the medians intersect, point q, is the centroid.

the centroid of δabc is point q.