Question

HELP ITS NOW!!!!!!!

The coordinate grid below shows the locations of Ada's house, Eve's house, and the community swimming pool. Ada cycled in a straight line from her house to Eve's house, and then together they cycled to the community swimming pool. What is the total distance (in units) that Ada cycled?


12
16
20
28

Answer 1

D. 28 units

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

`d_1=|4-(-12)|=|4+12|=|16|=16\ units`

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

`d_2=|-4-(-16)|=|-4+16|=|12|=12\ units`

The total distance is

`D=d_1+d_2=16+12=28\ units`