Three corners of a rectangular dog park are located at (-2,-1), (-2,3), and (5,3) on a coordinate plane. What is the total length of the fencing that is needed to enclose the park?

11 units

Step-by-step explanation:

-Let (-2,-1) be A, (-2,3) be B and (5,3) be C

- We notice that AB is a a vertical line parallel to the y-axis and it's length is the sum of AB's y co-ordinates:

Length AB = 3+1=4

-Also, we notice that BC is a horizontal line parallel to the x-axis. It's length is the sum of the BC's x-coordinates (length is always positive, ignore signs);

Length BC=2+5=7

Length of fence=Lengths (AB+BC) = 7+4=11

Hence, the total length of the fencing that is needed to enclose the park is 11 units.