Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 150 · 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 6 cm long and 7 cm wide, a rectangle 4 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 10 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
3. 3.From a rectangle 11 cm long and 7 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)?
4. 4.Each side of an equilateral triangle is 22 cm. What is its perimeter (in cm)?
5. 5.From a rectangle 9 cm long and 5 cm wide, a rectangle 5 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
6. 6.A wall is 8 m long and 5 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
7. 7.Each side of a regular pentagon is 3 cm. What is its perimeter (in cm)?
8. 8.A rectangular field is 70 m long and 10 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
9. 9.A wall is 4 m long and 4 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
10. 10.A wall is 8 m long and 5 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
11. 11.A square has a perimeter of 52 cm. What is its area (in square cm)?
12. 12.From a rectangle 13 cm long and 5 cm wide, a rectangle 6 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
13. 13.A square has a perimeter of 8 cm. What is its area (in square cm)?
14. 14.Each side of a regular hexagon is 3 cm. What is its perimeter (in cm)?
15. 15.The perimeter of a rectangle is 14 cm and its length is 5 cm. What is its width (in cm)?
16. 16.A rectangular field is 30 m long and 15 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
17. 17.A wall is 6 m long and 2 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
18. 18.A rectangular field is 35 m long and 25 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
19. 19.The perimeter of a rectangle is 70 cm and its length is 20 cm. What is its width (in cm)?
20. 20.A rectangular field is 85 m long and 30 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
21. 21.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 ₹)?
22. 22.A square has a perimeter of 36 cm. What is its area (in square cm)?
23. 23.From a rectangle 10 cm long and 8 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)?
24. 24.Each side of an equilateral triangle is 18 cm. What is its perimeter (in cm)?
25. 25.A square has a perimeter of 24 cm. What is its area (in square cm)?
26. 26.From a rectangle 8 cm long and 6 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)?
27. 27.The perimeter of a rectangle is 66 cm and its length is 20 cm. What is its width (in cm)?
28. 28.Each side of a square is 16 cm. What is its perimeter (in cm)?
29. 29.A wall is 6 m long and 6 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
30. 30.Each side of a regular hexagon is 5 cm. What is its perimeter (in cm)?
31. 31.The perimeter of a rectangle is 44 cm and its length is 20 cm. What is its width (in cm)?
32. 32.The perimeter of a rectangle is 38 cm and its length is 12 cm. What is its width (in cm)?
33. 33.The perimeter of a rectangle is 30 cm and its length is 12 cm. What is its width (in cm)?
34. 34.A square has a perimeter of 48 cm. What is its area (in square cm)?
35. 35.A wall is 5 m long and 3 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
36. 36.A wall is 7 m long and 5 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
37. 37.A square has a perimeter of 32 cm. What is its area (in square cm)?
38. 38.Each side of a regular octagon is 23 cm. What is its perimeter (in cm)?
39. 39.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 ₹)?
40. 40.From a rectangle 14 cm long and 13 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)?

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