Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 126 · 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 15 cm long and 7 cm wide, a rectangle 5 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
2. 2.A wall is 3 m long and 6 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
3. 3.A square has a perimeter of 8 cm. What is its area (in square cm)?
4. 4.Each side of a regular hexagon is 22 cm. What is its perimeter (in cm)?
5. 5.A wall is 11 m long and 4 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
6. 6.A wall is 12 m long and 3 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
7. 7.From a rectangle 16 cm long and 15 cm wide, a rectangle 13 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
8. 8.The perimeter of a rectangle is 66 cm and its length is 20 cm. What is its width (in cm)?
9. 9.A wall is 3 m long and 5 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
10. 10.The perimeter of a rectangle is 34 cm and its length is 14 cm. What is its width (in cm)?
11. 11.A square has a perimeter of 24 cm. What is its area (in square cm)?
12. 12.From a rectangle 8 cm long and 7 cm wide, a rectangle 5 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
13. 13.A rectangular field is 45 m long and 40 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
14. 14.A square has a perimeter of 40 cm. What is its area (in square cm)?
15. 15.A rectangular field is 60 m long and 30 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
16. 16.A square has a perimeter of 48 cm. What is its area (in square cm)?
17. 17.The perimeter of a rectangle is 26 cm and its length is 9 cm. What is its width (in cm)?
18. 18.From a rectangle 13 cm long and 11 cm wide, a rectangle 11 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
19. 19.A rectangular field is 95 m long and 15 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
20. 20.From a rectangle 6 cm long and 7 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.The perimeter of a rectangle is 64 cm and its length is 23 cm. What is its width (in cm)?
22. 22.A wall is 10 m long and 5 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
23. 23.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
24. 24.A wall is 3 m long and 3 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
25. 25.Each side of an equilateral triangle is 4 cm. What is its perimeter (in cm)?
26. 26.From a rectangle 8 cm long and 12 cm wide, a rectangle 5 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
27. 27.Each side of an equilateral triangle is 13 cm. What is its perimeter (in cm)?
28. 28.Each side of a regular hexagon is 16 cm. What is its perimeter (in cm)?
29. 29.A rectangular field is 70 m long and 10 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
30. 30.The perimeter of a rectangle is 28 cm and its length is 12 cm. What is its width (in cm)?
31. 31.From a rectangle 19 cm long and 11 cm wide, a rectangle 11 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
32. 32.A rectangular field is 100 m long and 90 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
33. 33.A rectangular field is 35 m long and 10 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
34. 34.Each side of an equilateral triangle is 21 cm. What is its perimeter (in cm)?
35. 35.From a rectangle 8 cm long and 7 cm wide, a rectangle 2 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
36. 36.The perimeter of a rectangle is 48 cm and its length is 18 cm. What is its width (in cm)?
37. 37.From a rectangle 6 cm long and 5 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)?
38. 38.Each side of a regular hexagon is 23 cm. What is its perimeter (in cm)?
39. 39.The perimeter of a rectangle is 48 cm and its length is 19 cm. What is its width (in cm)?
40. 40.The perimeter of a rectangle is 24 cm and its length is 10 cm. What is its width (in cm)?

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