Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 617 · 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 8 cm long and 15 cm wide, a rectangle 3 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
2. 2.A square has a perimeter of 24 cm. What is its area (in square cm)?
3. 3.A rectangular field is 80 m long and 60 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
4. 4.From a rectangle 6 cm long and 7 cm wide, a rectangle 1 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
5. 5.From a rectangle 7 cm long and 13 cm wide, a rectangle 2 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
6. 6.A wall is 11 m long and 2 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
7. 7.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
8. 8.A square has a perimeter of 32 cm. What is its area (in square cm)?
9. 9.A wall is 9 m long and 2 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
10. 10.A wall is 12 m long and 4 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
11. 11.From a rectangle 18 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)?
12. 12.The perimeter of a rectangle is 76 cm and its length is 29 cm. What is its width (in cm)?
13. 13.Each side of an equilateral triangle is 5 cm. What is its perimeter (in cm)?
14. 14.From a rectangle 19 cm long and 9 cm wide, a rectangle 9 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
15. 15.A rectangular field is 95 m long and 80 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
16. 16.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
17. 17.A rectangular field is 40 m long and 35 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
18. 18.Each side of a regular pentagon is 20 cm. What is its perimeter (in cm)?
19. 19.A wall is 5 m long and 5 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
20. 20.A square has a perimeter of 80 cm. What is its area (in square cm)?
21. 21.A rectangular field is 80 m long and 20 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
22. 22.Each side of a square is 3 cm. What is its perimeter (in cm)?
23. 23.Each side of a regular pentagon is 16 cm. What is its perimeter (in cm)?
24. 24.A rectangular field is 65 m long and 50 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
25. 25.A wall is 11 m long and 3 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
26. 26.A wall is 3 m long and 6 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
27. 27.From a rectangle 13 cm long and 8 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)?
28. 28.A wall is 6 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
29. 29.A wall is 9 m long and 3 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
30. 30.The perimeter of a rectangle is 58 cm and its length is 24 cm. What is its width (in cm)?
31. 31.Each side of a regular pentagon is 22 cm. What is its perimeter (in cm)?
32. 32.A rectangular field is 30 m long and 25 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
33. 33.A wall is 11 m long and 6 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
34. 34.A square has a perimeter of 68 cm. What is its area (in square cm)?
35. 35.The perimeter of a rectangle is 36 cm and its length is 13 cm. What is its width (in cm)?
36. 36.Each side of a regular hexagon is 19 cm. What is its perimeter (in cm)?
37. 37.Each side of a regular pentagon is 12 cm. What is its perimeter (in cm)?
38. 38.A rectangular field is 40 m long and 30 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
39. 39.From a rectangle 18 cm long and 11 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)?
40. 40.From a rectangle 15 cm long and 10 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)?

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