Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 303 · 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 19 cm long and 15 cm wide, a rectangle 16 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
2. 2.Each side of a regular pentagon is 24 cm. What is its perimeter (in cm)?
3. 3.A rectangular field is 95 m long and 30 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
4. 4.A rectangular field is 30 m long and 25 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
5. 5.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)?
6. 6.The perimeter of a rectangle is 70 cm and its length is 20 cm. What is its width (in cm)?
7. 7.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
8. 8.From a rectangle 19 cm long and 10 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)?
9. 9.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
10. 10.A wall is 12 m long and 3 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
11. 11.From a rectangle 7 cm long and 11 cm wide, a rectangle 1 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
12. 12.A square has a perimeter of 12 cm. What is its area (in square cm)?
13. 13.From a rectangle 14 cm long and 12 cm wide, a rectangle 11 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
14. 14.The perimeter of a rectangle is 28 cm and its length is 9 cm. What is its width (in cm)?
15. 15.A wall is 6 m long and 5 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
16. 16.A wall is 7 m long and 5 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
17. 17.A square has a perimeter of 32 cm. What is its area (in square cm)?
18. 18.A square has a perimeter of 36 cm. What is its area (in square cm)?
19. 19.From a rectangle 20 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)?
20. 20.From a rectangle 13 cm long and 12 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)?
21. 21.A wall is 11 m long and 2 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
22. 22.Each side of an equilateral triangle is 15 cm. What is its perimeter (in cm)?
23. 23.The perimeter of a rectangle is 52 cm and its length is 22 cm. What is its width (in cm)?
24. 24.A wall is 3 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
25. 25.The perimeter of a rectangle is 30 cm and its length is 11 cm. What is its width (in cm)?
26. 26.A wall is 9 m long and 4 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
27. 27.Each side of a regular hexagon is 22 cm. What is its perimeter (in cm)?
28. 28.From a rectangle 14 cm long and 7 cm wide, a rectangle 10 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
29. 29.From a rectangle 11 cm long and 11 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)?
30. 30.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 ₹)?
31. 31.A rectangular field is 60 m long and 30 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
32. 32.A rectangular field is 60 m long and 10 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
33. 33.Each side of an equilateral triangle is 21 cm. What is its perimeter (in cm)?
34. 34.A rectangular field is 40 m long and 20 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
35. 35.The perimeter of a rectangle is 88 cm and its length is 23 cm. What is its width (in cm)?
36. 36.A square has a perimeter of 52 cm. What is its area (in square cm)?
37. 37.Each side of a regular pentagon is 15 cm. What is its perimeter (in cm)?
38. 38.The perimeter of a rectangle is 84 cm and its length is 26 cm. What is its width (in cm)?
39. 39.Each side of a regular octagon is 20 cm. What is its perimeter (in cm)?
40. 40.Each side of an equilateral triangle is 12 cm. What is its perimeter (in cm)?

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