Place Reiaan's rectangular study table with three of its feet at the points , and .
Where will the fourth foot of the table be?
(8, 7)
Is this a good spot for the table?
It is a good spot as long as it does not obstruct the room door or bathroom door and allows comfortable movement.
What is the width of the table? The length? Can you make out the height of the table?
The length of the table is ft and the width is ft. We cannot make out the height of the table because the map only shows the floor (2-D plane), not the vertical dimension.
Explanation
The table is rectangular, so its opposite sides must be equal and parallel. Given the three feet at , , and , the fourth foot must share the x-coordinate of the first point and the y-coordinate of the third point, making it .
For the spot to be good, it must not block doors mentioned in the context. The length and width are found by the differences in coordinates ( ft and ft), but height cannot be found as the context explicitly states the sketch only shows the map of the floor.