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Chapter 6: Perimeter and Area Case Study Based Questions
Exercise 6.1 1. 15000 sq. m 2. 500 m 3. 1500 m 4. 50 poles
1. 10 m 2. 900 m 3. 21 cm 5. `54750 6. 10,000 sq. m
4. (a) 9cm (b) 12 cm (c) 6 cm 7. Seven crore fifty lakh rupees (`7,50,00,000)
5. (a) 28 units (b) 28 units (c) 28 units (d) 26 units Chapter Test
6. 100 m 7. Length = 60 m I. 1. (b) 2. (b) 3. (b) 4. (b)
8. 250 m, 170 m, and 120 m 9. 16 m 5. (a) 6. (b) 7. (c)
10. Mohan covers 260 m and Gopi covers 170 m, therefore II. 1. 5 × length of one side 2. `18000 3. `10000
Mohan covers more distance. 4. 1600 m 5. 90 cm 2
Exercise 6.2 III. 1. False 2. False 3. True 4. True
1. (a) 25 sq. units (b) 12 sq. units 5. True
1 2
2. (a) 13 sq. units (b) 16 sq. units IV. 1. 150 marbles 2. 1400 m 3. `6800
Exercise 6.3 2 4. 25 tin sheets 5. 24 m 6. 2400 sq. m
1. 50 sq. unit, 42 sq. units, 63 sq. units 7. 10000 m 2 1
Exercise 6.4 8. (a) 8 sq. units (b) 4 2 sq. units
1. 126 cm 2. 6 times of old area (c) 7 sq. units
3. 880 cm 4. 48 tiles 9. Greatest = 100 cm, least = 28 cm.
5. 56 cm 6. `45000 7. `2700 Hints: (Activity 1):
Miscellaneous Exercise 6.5 1. Squares have the least perimeter. Ans: 12.
1. (d) 2. (c) 3. (d) 4. (b) 2. Horizontal or vertical rectangles have the maximum
5. (a) 6. (b) perimeter. Ans: 20.
7. (a) False (b) False (c) True (d) False 3. The figure has a perimeter of 18 units.
8. (a) simple (b) regular (c) area (d) n × a
(e) 10,000
2
9. 52 cm 10. 56 m . 4. For smallest perimeter, No.
11. (a) 13 sq. unit (b) 9 sq. unit Because a square will have the smallest perimeter there
(c) 15 sq. unit is no other way to have a square with area 9. It can
12. (a) 36 sq. m (b) 13 m (c) 11 m (d) 341 sq. m only be 3 × 3.
13. 200 trees For the other two, yes, Students are expected to explore
14. (a) 30 sq. cm (b) 9 sq. cm them.
(c) 16 sq. cm (d) 5 cm
15. 20 m 16. 172 sq. m Chapter 7: Fractions
17. 624 sq. m 18. 196 sq. m Exercise 7.1
19. (a) 9 sq. m (b) 5 sq. m (c) 10 sq. m (d) 6 sq. m 1. (a) → (iii) (b) → (iv) (c) → (i) (d) → (ii)
2 4
(e) 6 sq. m (f) 6 sq. m 2. (a) 1 (b) 2 (c) ,
20. square; 900 sq. m. 21. 96 tiles 2 3 5 5
22. (a) 40 sq. cm. (b) 245 sq. cm. 3. (a) Yes
(c) 9 sq. cm. (b) Yes; all represent the same length on the fraction
wall.
23. 32 cm; 64 sq. cm. (c) 3-pieces (d) 2-pieces
24. Least = 24 cm, greatest = 74.
Assertion Reason Type Questions (e) Yes; all represent the same length on the fraction
wall.
1. (d) 2. (a) 3. (c) 4. (b) 1 3 2 6 8
5. (b) 6. (a) 7. (b) (f) 3 and 9 (g) 3 = 9 = 12
300 Mathematics-6

