Chapter 1: Orienting Yourself: The Use of Coordinates

Exercise

Question

Question: 1 (ii)

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Place Reiaan's rectangular study table with three of its feet at the points (8, 9), (11, 9) and (11, 7).

(ii) Is this a good spot for the table?

Answer

1
Look at the position of the table relative to the bed and nearby walls. Think about whether it could be placed more conveniently while leaving enough space to move around the room.
Coordinate plane showing Reiaan's room, bathroom, bed, and study table.
Reiaan's room showing the position of the study table.
Answer: The table could be placed more conveniently.
Reason: The table is 1.5 units away from the bed, 1 unit away from the right wall, and 1 unit away from the top wall. The 1.5-units gap between the bed and the table may not provide enough walking space. Also, the 1-unit gap between the table and the two walls could be reduced, as such a small gap is of little practical use and difficult to walk through.
One possible improvement is to move the table 1 unit to the right and 1 unit upward. This makes the table touch the right and top walls and increases the gap between the table and the bed to 2.5 units.
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