TEXTBOOK REFERENCE · GANITA MANJARI
Exercise Set 1.2 · Q4(ii) · Open official source ↗
On a graph sheet, mark the x-axis and y-axis and the origin O. Mark points from to on the x-axis and from to on the y-axis. (Use the scale 1 cm = 1 unit.) Using Fig. 1.5, answer the given questions.
Other rooms in the house:
Context from part (i): Reiaan’s room door leads from the dining room which has the length 18 ft and width 15 ft. The length of the dining room extends from point P to point A.
(ii) Place a rectangular 5 ft × 3 ft dining table precisely in the centre of the dining room. Write down the coordinates of the feet of the table.
AIMS worked solution
AIMS SOLUTION / EXPLANATION
P(-6, 0) · A · U(12, -15) · V(-6, -15) · (0.5, -6) · (5.5, -6) · (5.5, -9) · (0.5, -9)
Given:
The room and the table dimensions.
To Find:
One set of table-foot coordinates.
Property:
A centred axis-aligned rectangle shares its diagonal midpoint with the room.
Solution:
Room centre: (, ) = .
Put the 5 ft dimension horizontally: x = 3 ± 2.5, giving 0.5 and 5.5.
Put the 3 ft dimension vertically: y = −7.5 ± 1.5, giving −9 and −6.
Opposite-foot averages return .
Results:
Feet: , , , . A rotated orientation is also possible.
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