Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 644 · 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.From a rectangle 17 cm long and 12 cm wide, a rectangle 7 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
2. 2.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
3. 3.The perimeter of a rectangle is 14 cm and its length is 5 cm. What is its width (in cm)?
4. 4.The perimeter of a rectangle is 22 cm and its length is 7 cm. What is its width (in cm)?
5. 5.A square has a perimeter of 20 cm. What is its area (in square cm)?
6. 6.A square has a perimeter of 36 cm. What is its area (in square cm)?
7. 7.A rectangular field is 85 m long and 80 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
8. 8.The perimeter of a rectangle is 80 cm and its length is 22 cm. What is its width (in cm)?
9. 9.From a rectangle 13 cm long and 15 cm wide, a rectangle 3 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
10. 10.A wall is 9 m long and 3 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
11. 11.A wall is 8 m long and 6 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
12. 12.The perimeter of a rectangle is 60 cm and its length is 27 cm. What is its width (in cm)?
13. 13.A rectangular field is 45 m long and 30 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
14. 14.From a rectangle 6 cm long and 15 cm wide, a rectangle 4 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
15. 15.The perimeter of a rectangle is 44 cm and its length is 15 cm. What is its width (in cm)?
16. 16.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
17. 17.Each side of an equilateral triangle is 4 cm. What is its perimeter (in cm)?
18. 18.The perimeter of a rectangle is 46 cm and its length is 13 cm. What is its width (in cm)?
19. 19.The perimeter of a rectangle is 62 cm and its length is 16 cm. What is its width (in cm)?
20. 20.From a rectangle 7 cm long and 5 cm wide, a rectangle 2 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
21. 21.From a rectangle 12 cm long and 9 cm wide, a rectangle 3 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
22. 22.Each side of a regular octagon is 5 cm. What is its perimeter (in cm)?
23. 23.The perimeter of a rectangle is 50 cm and its length is 16 cm. What is its width (in cm)?
24. 24.A wall is 12 m long and 4 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
25. 25.From a rectangle 6 cm long and 6 cm wide, a rectangle 4 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
26. 26.Each side of an equilateral triangle is 17 cm. What is its perimeter (in cm)?
27. 27.From a rectangle 13 cm long and 15 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)?
28. 28.A rectangular field is 55 m long and 40 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
29. 29.A wall is 3 m long and 2 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
30. 30.The perimeter of a rectangle is 76 cm and its length is 22 cm. What is its width (in cm)?
31. 31.A wall is 3 m long and 2 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
32. 32.From a rectangle 14 cm long and 9 cm wide, a rectangle 2 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
33. 33.Each side of a regular pentagon is 14 cm. What is its perimeter (in cm)?
34. 34.A square has a perimeter of 80 cm. What is its area (in square cm)?
35. 35.Each side of a regular octagon is 8 cm. What is its perimeter (in cm)?
36. 36.A wall is 6 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
37. 37.Each side of a square is 8 cm. What is its perimeter (in cm)?
38. 38.A rectangular field is 90 m long and 70 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
39. 39.A wall is 3 m long and 5 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
40. 40.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?

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