Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 311 · 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 16 cm long and 11 cm wide, a rectangle 1 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
2. 2.From a rectangle 18 cm long and 5 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)?
3. 3.A square has a perimeter of 56 cm. What is its area (in square cm)?
4. 4.Each side of an equilateral triangle is 15 cm. What is its perimeter (in cm)?
5. 5.A wall is 11 m long and 5 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
6. 6.From a rectangle 17 cm long and 14 cm wide, a rectangle 13 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
7. 7.Each side of a regular octagon is 16 cm. What is its perimeter (in cm)?
8. 8.From a rectangle 9 cm long and 6 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)?
9. 9.A rectangular field is 65 m long and 10 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
10. 10.A rectangular field is 95 m long and 15 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
11. 11.The perimeter of a rectangle is 30 cm and its length is 9 cm. What is its width (in cm)?
12. 12.A square has a perimeter of 52 cm. What is its area (in square cm)?
13. 13.Each side of an equilateral triangle is 20 cm. What is its perimeter (in cm)?
14. 14.A square has a perimeter of 20 cm. What is its area (in square cm)?
15. 15.Each side of a regular octagon is 14 cm. What is its perimeter (in cm)?
16. 16.A wall is 11 m long and 6 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
17. 17.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
18. 18.From a rectangle 12 cm long and 13 cm wide, a rectangle 3 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
19. 19.A square has a perimeter of 36 cm. What is its area (in square cm)?
20. 20.The perimeter of a rectangle is 74 cm and its length is 27 cm. What is its width (in cm)?
21. 21.Each side of a regular hexagon is 6 cm. What is its perimeter (in cm)?
22. 22.A square has a perimeter of 32 cm. What is its area (in square cm)?
23. 23.Each side of a regular pentagon is 6 cm. What is its perimeter (in cm)?
24. 24.From a rectangle 13 cm long and 6 cm wide, a rectangle 9 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
25. 25.Each side of a square is 23 cm. What is its perimeter (in cm)?
26. 26.Each side of an equilateral triangle is 8 cm. What is its perimeter (in cm)?
27. 27.A wall is 10 m long and 3 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
28. 28.A rectangular field is 65 m long and 20 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
29. 29.The perimeter of a rectangle is 16 cm and its length is 5 cm. What is its width (in cm)?
30. 30.A wall is 12 m long and 6 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
31. 31.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)?
32. 32.Each side of a square is 5 cm. What is its perimeter (in cm)?
33. 33.From a rectangle 17 cm long and 14 cm wide, a rectangle 8 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
34. 34.A rectangular field is 75 m long and 20 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
35. 35.A wall is 5 m long and 3 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
36. 36.A rectangular field is 95 m long and 20 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
37. 37.A wall is 4 m long and 6 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
38. 38.From a rectangle 9 cm long and 8 cm wide, a rectangle 1 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
39. 39.A rectangular field is 60 m long and 20 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
40. 40.A rectangular field is 95 m long and 30 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?

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