(i) Dining room corners are P (0, 4), A (18, 4), (18, 19) and (0, 19). (ii) Table center is (9, 11.5). Feet coordinates: (6.5, 10), (11.5, 10), (11.5, 13) and (6.5, 13).
Other rooms in the house: (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. Sketch the dining room and mark the coordinates of its corners. (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.
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(i) Starting from line PA, the dining room extends from P (0, 4) to A (18, 4). With a width of 15 ft, the other corners are (18, 19) and (0, 19), forming a large rectangle. (ii) The center of the room is at (9, 11.5). For a 5 ft by 3 ft table centered here, we move 2.5 units left/right and 1.5 units up/down. This places the table feet at (6.5, 10), (11.5, 10), (11.5, 13) and (6.5, 13).
For Detailed Solutions:
Visit NCERT Solutions for Class 9 Ganita Manjari Chapter 1 Orienting Yourself: The Use of Coordinates Question Answer:
https://www.tiwariacademy.com/ncert-solutions/class-9/maths/ganita-manjari-chapter-1/