Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 403 · 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 11 m long and 4 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
2. 2.A square has a perimeter of 28 cm. What is its area (in square cm)?
3. 3.The perimeter of a rectangle is 48 cm and its length is 18 cm. What is its width (in cm)?
4. 4.A wall is 7 m long and 6 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
5. 5.From a rectangle 9 cm long and 5 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)?
6. 6.From a rectangle 13 cm long and 12 cm wide, a rectangle 8 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
7. 7.A rectangular field is 60 m long and 25 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
8. 8.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
9. 9.Each side of a regular hexagon is 7 cm. What is its perimeter (in cm)?
10. 10.The perimeter of a rectangle is 40 cm and its length is 13 cm. What is its width (in cm)?
11. 11.The perimeter of a rectangle is 34 cm and its length is 14 cm. What is its width (in cm)?
12. 12.Each side of an equilateral triangle is 21 cm. What is its perimeter (in cm)?
13. 13.Each side of a regular pentagon is 24 cm. What is its perimeter (in cm)?
14. 14.Each side of a regular hexagon is 3 cm. What is its perimeter (in cm)?
15. 15.A square has a perimeter of 24 cm. What is its area (in square cm)?
16. 16.The perimeter of a rectangle is 118 cm and its length is 30 cm. What is its width (in cm)?
17. 17.A square has a perimeter of 32 cm. What is its area (in square cm)?
18. 18.Each side of a regular octagon is 16 cm. What is its perimeter (in cm)?
19. 19.From a rectangle 16 cm long and 12 cm wide, a rectangle 14 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
20. 20.Each side of an equilateral triangle is 8 cm. What is its perimeter (in cm)?
21. 21.From a rectangle 15 cm long and 14 cm wide, a rectangle 7 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
22. 22.The perimeter of a rectangle is 34 cm and its length is 15 cm. What is its width (in cm)?
23. 23.A rectangular field is 100 m long and 45 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
24. 24.Each side of a regular octagon is 8 cm. What is its perimeter (in cm)?
25. 25.A wall is 7 m long and 6 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
26. 26.From a rectangle 11 cm long and 11 cm wide, a rectangle 5 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
27. 27.Each side of a regular hexagon is 4 cm. What is its perimeter (in cm)?
28. 28.From a rectangle 6 cm long and 8 cm wide, a rectangle 3 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
29. 29.A wall is 3 m long and 3 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
30. 30.A rectangular field is 40 m long and 35 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
31. 31.A square has a perimeter of 40 cm. What is its area (in square cm)?
32. 32.Each side of a square is 3 cm. What is its perimeter (in cm)?
33. 33.The perimeter of a rectangle is 76 cm and its length is 24 cm. What is its width (in cm)?
34. 34.A wall is 11 m long and 4 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
35. 35.A wall is 7 m long and 4 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
36. 36.Each side of an equilateral triangle is 11 cm. What is its perimeter (in cm)?
37. 37.From a rectangle 9 cm long and 5 cm wide, a rectangle 7 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
38. 38.A rectangular field is 65 m long and 60 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
39. 39.A rectangular field is 50 m long and 35 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
40. 40.From a rectangle 14 cm long and 9 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)?

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