Question 1. Place Reiaan’s rectangular study table with three of its feet at the points (8, 9), (11, 9) and (11, 7).
(i) Where will the fourth foot of the table be?
Since the table is rectangular:
Given points are:
A = (8, 9)
B = (11, 9)
C = (11, 7)
The fourth point will be:
D = (8, 7)
Answer: The fourth foot will be at (8, 7).
(ii) Is this a good spot for the table?
Yes, this is a good spot because the table is placed neatly near the wall and does not block the wardrobe or other furniture.
Answer: Yes, it is a good spot for the table.
(iii) What is the width and length of the table? Can you make out the height of the table?
Length:
Distance between (8, 9) and (11, 9)
= 11 – 8
= 3 units
Width:
Distance between (11, 9) and (11, 7)
= 9 – 7
= 2 units
Height cannot be determined from the graph because the graph only shows length and width.
Answer:
Length = 3 units
Width = 2 units
Height cannot be determined.
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Question 2. If the bathroom door has a hinge at B1 and opens into the bedroom, will it hit the wardrobe? Are there any changes you would suggest if the door is made wider?
The bathroom door opens into the bedroom from point B1.
From the figure, the wardrobe is far from the bathroom door.
Therefore, the door will not hit the wardrobe.
If the door is made wider, it may occupy more space while opening. So, it would be better to:
- reduce the width of the door, or
- change the direction of opening.
Answer:
No, the bathroom door will not hit the wardrobe. If the door is made wider, the opening direction or width of the door may need to be changed.
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Question 3. Look at Reiaan’s bathroom.
(i) What are the coordinates of the four corners O, F, R, and P of the bathroom?
From the graph:
O = (0, 0)
F = (0, 10)
R = (-7, 10)
P = (-7, 0)
Answer:
O = (0, 0)
F = (0, 10)
R = (-7, 10)
P = (-7, 0)
(ii) What is the shape of the showering area SHWR? Write the coordinates of the four corners.
The showering area SHWR is a trapezium.
Coordinates:
S = (-7, 6)
H = (-3, 6)
W = (-2, 9)
R = (-7, 9)
Answer:
Shape = Trapezium
Coordinates:
S = (-7, 6)
H = (-3, 6)
W = (-2, 9)
R = (-7, 9)
(iii) Mark off a 3 ft × 2 ft space for the washbasin and a 2 ft × 3 ft space for the toilet. Write the coordinates of the corners of these spaces.
One possible answer:
Washbasin space (3 ft × 2 ft)
Coordinates:
(-7, 0)
(-4, 0)
(-4, 2)
(-7, 2)
Toilet space (2 ft × 3 ft)
Coordinates:
(-7, 3)
(-5, 3)
(-5, 6)
(-7, 6)
Answer:
Washbasin corners:
(-7, 0), (-4, 0), (-4, 2), (-7, 2)
Toilet corners:
(-7, 3), (-5, 3), (-5, 6), (-7, 6)
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Question 4. Other rooms in the house
(i) Reiaan’s room door leads from the dining room which has length 18 ft and width 15 ft. The length extends from point P to point A. Sketch the dining room and mark the coordinates of its corners.
From the figure:
P = (-7, 0)
A = (12, 0)
Length from P to A = 19 units approximately.
Taking the dining room dimensions:
Possible coordinates are:
P = (-7, 0)
A = (11, 0)
B = (11, 15)
C = (-7, 15)
Answer:
Coordinates of the dining room:
(-7, 0)
(11, 0)
(11, 15)
(-7, 15)
(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.
Dining room centre lies near:
x = 2
y = 7.5
A 5 × 3 table placed centrally may have corners at:
(-0.5, 6)
(4.5, 6)
(4.5, 9)
(-0.5, 9)
Answer:
Coordinates of the table feet:
(-0.5, 6)
(4.5, 6)
(4.5, 9)
(-0.5, 9)
Students can also check all other exercise solutions of the chapter “Introduction to Linear Polynomial” for complete preparation. Visit Exercise set 1.1, Exercise 2.1 Solutions, Exercise 2.2 Solutions, Exercise 2.3 Solutions, Exercise 2.4 Solutions, Exercise 2.5 Solutions, and Exercise 2.6 Solutions to understand every concept step by step and score better in exams.
Watch video solutions of ” End of Chapter Exercises” on our youtube Channel SHARMA TUTORIAL