Answer:
D. 28 units
Step-by-step explanation:
First, Ada cycled in a straight line from her house to Eve's house, then she cycled from point (-16,-12) to point (-16,4). These points lie on the vertical line, so the distance between these points is
[tex]d_1=|4-(-12)|=|4+12|=|16|=16\ units[/tex]
Then, ADa cycled from Eve's house to the community swimming pool, then she cycled from point (-16,4) to point (-4,4). These points lie on the horizontal line, so the distance between these points is
[tex]d_2=|-4-(-16)|=|-4+16|=|12|=12\ units[/tex]
The total distance is
[tex]D=d_1+d_2=16+12=28\ units[/tex]