Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 152 · 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 11 cm long and 9 cm wide, a rectangle 7 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
2. 2.The perimeter of a rectangle is 14 cm and its length is 5 cm. What is its width (in cm)?
3. 3.From a rectangle 18 cm long and 15 cm wide, a rectangle 5 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
4. 4.A rectangular field is 65 m long and 15 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
5. 5.Each side of a regular hexagon is 13 cm. What is its perimeter (in cm)?
6. 6.A rectangular field is 25 m long and 15 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
7. 7.A square has a perimeter of 76 cm. What is its area (in square cm)?
8. 8.The perimeter of a rectangle is 50 cm and its length is 14 cm. What is its width (in cm)?
9. 9.From a rectangle 9 cm long and 11 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)?
10. 10.Each side of an equilateral triangle is 24 cm. What is its perimeter (in cm)?
11. 11.A wall is 12 m long and 3 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
12. 12.From a rectangle 18 cm long and 12 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)?
13. 13.The perimeter of a rectangle is 50 cm and its length is 19 cm. What is its width (in cm)?
14. 14.Each side of a regular hexagon is 17 cm. What is its perimeter (in cm)?
15. 15.A square has a perimeter of 40 cm. What is its area (in square cm)?
16. 16.From a rectangle 7 cm long and 9 cm wide, a rectangle 1 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
17. 17.Each side of an equilateral triangle is 4 cm. What is its perimeter (in cm)?
18. 18.A square has a perimeter of 28 cm. What is its area (in square cm)?
19. 19.A rectangular field is 35 m long and 20 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
20. 20.Each side of a regular hexagon is 4 cm. What is its perimeter (in cm)?
21. 21.The perimeter of a rectangle is 42 cm and its length is 12 cm. What is its width (in cm)?
22. 22.From a rectangle 13 cm long and 10 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)?
23. 23.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
24. 24.A rectangular field is 35 m long and 30 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
25. 25.From a rectangle 13 cm long and 7 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)?
26. 26.The perimeter of a rectangle is 18 cm and its length is 6 cm. What is its width (in cm)?
27. 27.A square has a perimeter of 52 cm. What is its area (in square cm)?
28. 28.A wall is 3 m long and 3 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
29. 29.A wall is 12 m long and 2 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
30. 30.A square has a perimeter of 80 cm. What is its area (in square cm)?
31. 31.From a rectangle 10 cm long and 5 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)?
32. 32.A rectangular field is 40 m long and 15 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
33. 33.A wall is 4 m long and 6 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
34. 34.The perimeter of a rectangle is 46 cm and its length is 13 cm. What is its width (in cm)?
35. 35.The perimeter of a rectangle is 38 cm and its length is 11 cm. What is its width (in cm)?
36. 36.A rectangular field is 25 m long and 15 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
37. 37.The perimeter of a rectangle is 44 cm and its length is 16 cm. What is its width (in cm)?
38. 38.A wall is 5 m long and 2 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
39. 39.From a rectangle 10 cm long and 12 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)?
40. 40.A wall is 7 m long and 5 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?

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