Class 9th Maths Ganita Manjari - Part I Chapter 1: Orienting Yourself: The Use of Coordinates Exercise 1: Exercise Set 1.1 Question 1 (iii) Solution

Question

Fig 1.3 shows Reiaan's room with points OABC marking its corners. The x- and y-axes are marked in the figure. Point O is the origin.

Referring to Fig. 1.3, answer the following questions:

(iii) If R1 is the point (11.5, 0), how wide is the door? Do you think this is a comfortable width for the room door? If a person in a wheelchair wants to enter the room, will he/she be able to do so easily?

Coordinate plane showing Reiaan's room with the x-axis, y-axis, origin O, and labelled points D1, R1, B1, and B2. — Fig. 1.3: Coordinate plane showing Reiaan's room.

Accepted Answer

Check the previous part for the coordinates of D1. Then find the horizontal distance between D1 and R1 using their x-coordinates.
 {green}	extbf{Answer: The width of the door is 3.5 units.}|||	extbf{Reason: From the previous part, D1 = (8, 0). The other end is R1 = (11.5, 0). Therefore, the width of the door is 11.5 - 8 = 3.5 units.}{/green} Compare the door width with a typical room door width.
 {green}	extbf{Answer: Yes, the door is comfortably wide enough for a typical room door.}|||	extbf{Reason: If each unit represents one foot, the door is 3.5 feet wide, which is a comfortable width for a typical room door.}{/green} Compare the door width with the width needed for a wheelchair user to pass through.
 {green}	extbf{Answer: Yes, the door is wide enough for a typical wheelchair to pass through comfortably.}|||	extbf{Reason: The door is 3.5 units wide. If each unit represents one foot, the door is 3.5 feet wide, which is wider than the typical width of a wheelchair. Therefore, a wheelchair user should be able to pass through the door comfortably.}{/green}

Question: 1 (iii)

Answer