Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 142 · 40 sums

The method (Around or inside): Perimeter of a regular shape = number of sides × side. Rectangle: 2 × (length + width). Area of a rectangle = length × width; square = side × side. Cost of fencing = perimeter × rate per metre; cost of painting = area × rate per square metre. Cut-out shape: area of the big rectangle − area of the part cut out.

1. 1.A wall is 5 m long and 4 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
2. 2.A rectangular field is 70 m long and 20 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
3. 3.From a rectangle 9 cm long and 14 cm wide, a rectangle 2 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
4. 4.A square has a perimeter of 16 cm. What is its area (in square cm)?
5. 5.Each side of an equilateral triangle is 10 cm. What is its perimeter (in cm)?
6. 6.A wall is 6 m long and 4 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
7. 7.A wall is 5 m long and 2 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
8. 8.A square has a perimeter of 12 cm. What is its area (in square cm)?
9. 9.From a rectangle 10 cm long and 5 cm wide, a rectangle 8 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
10. 10.The perimeter of a rectangle is 104 cm and its length is 27 cm. What is its width (in cm)?
11. 11.Each side of a square is 4 cm. What is its perimeter (in cm)?
12. 12.A wall is 6 m long and 3 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
13. 13.A square has a perimeter of 64 cm. What is its area (in square cm)?
14. 14.A rectangular field is 90 m long and 25 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
15. 15.A wall is 4 m long and 3 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
16. 16.A rectangular field is 60 m long and 45 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
17. 17.A wall is 3 m long and 6 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
18. 18.A square has a perimeter of 20 cm. What is its area (in square cm)?
19. 19.The perimeter of a rectangle is 30 cm and its length is 10 cm. What is its width (in cm)?
20. 20.The perimeter of a rectangle is 54 cm and its length is 15 cm. What is its width (in cm)?
21. 21.From a rectangle 12 cm long and 14 cm wide, a rectangle 9 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
22. 22.From a rectangle 8 cm long and 10 cm wide, a rectangle 6 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
23. 23.The perimeter of a rectangle is 78 cm and its length is 22 cm. What is its width (in cm)?
24. 24.A rectangular field is 50 m long and 15 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
25. 25.The perimeter of a rectangle is 48 cm and its length is 16 cm. What is its width (in cm)?
26. 26.A square has a perimeter of 60 cm. What is its area (in square cm)?
27. 27.A rectangular field is 35 m long and 30 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
28. 28.A square has a perimeter of 56 cm. What is its area (in square cm)?
29. 29.A wall is 7 m long and 5 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
30. 30.Each side of a regular pentagon is 17 cm. What is its perimeter (in cm)?
31. 31.A rectangular field is 85 m long and 30 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
32. 32.A rectangular field is 30 m long and 10 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
33. 33.A wall is 5 m long and 3 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
34. 34.From a rectangle 6 cm long and 10 cm wide, a rectangle 4 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
35. 35.The perimeter of a rectangle is 34 cm and its length is 10 cm. What is its width (in cm)?
36. 36.A wall is 3 m long and 6 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
37. 37.The perimeter of a rectangle is 82 cm and its length is 28 cm. What is its width (in cm)?
38. 38.A rectangular field is 35 m long and 15 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
39. 39.A wall is 3 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
40. 40.From a rectangle 10 cm long and 15 cm wide, a rectangle 1 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?

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