Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 296 · 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.The perimeter of a rectangle is 74 cm and its length is 19 cm. What is its width (in cm)?
2. 2.From a rectangle 12 cm long and 13 cm wide, a rectangle 5 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
3. 3.The perimeter of a rectangle is 102 cm and its length is 26 cm. What is its width (in cm)?
4. 4.From a rectangle 14 cm long and 8 cm wide, a rectangle 11 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 17 cm long and 9 cm wide, a rectangle 6 cm by 2 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 84 cm and its length is 24 cm. What is its width (in cm)?
7. 7.Each side of an equilateral triangle is 14 cm. What is its perimeter (in cm)?
8. 8.A wall is 11 m long and 2 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
9. 9.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 ₹)?
10. 10.Each side of a regular pentagon is 18 cm. What is its perimeter (in cm)?
11. 11.From a rectangle 6 cm long and 6 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)?
12. 12.Each side of a square is 17 cm. What is its perimeter (in cm)?
13. 13.A wall is 4 m long and 3 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
14. 14.From a rectangle 16 cm long and 8 cm wide, a rectangle 14 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
15. 15.From a rectangle 9 cm long and 13 cm wide, a rectangle 4 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
16. 16.A rectangular field is 55 m long and 15 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
17. 17.From a rectangle 6 cm long and 13 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)?
18. 18.A wall is 7 m long and 5 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
19. 19.A rectangular field is 30 m long and 15 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
20. 20.A rectangular field is 35 m long and 25 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
21. 21.A wall is 6 m long and 4 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
22. 22.The perimeter of a rectangle is 58 cm and its length is 19 cm. What is its width (in cm)?
23. 23.A square has a perimeter of 28 cm. What is its area (in square cm)?
24. 24.Each side of an equilateral triangle is 13 cm. What is its perimeter (in cm)?
25. 25.The perimeter of a rectangle is 74 cm and its length is 25 cm. What is its width (in cm)?
26. 26.From a rectangle 8 cm long and 7 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)?
27. 27.A rectangular field is 35 m long and 25 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
28. 28.A square has a perimeter of 48 cm. What is its area (in square cm)?
29. 29.A rectangular field is 25 m long and 15 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
30. 30.From a rectangle 10 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)?
31. 31.The perimeter of a rectangle is 22 cm and its length is 8 cm. What is its width (in cm)?
32. 32.A rectangular field is 50 m long and 25 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
33. 33.A rectangular field is 90 m long and 45 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
34. 34.A wall is 3 m long and 3 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
35. 35.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
36. 36.From a rectangle 19 cm long and 10 cm wide, a rectangle 14 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
37. 37.A rectangular field is 95 m long and 55 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
38. 38.Each side of a regular hexagon is 10 cm. What is its perimeter (in cm)?
39. 39.The perimeter of a rectangle is 16 cm and its length is 6 cm. What is its width (in cm)?
40. 40.A rectangular field is 85 m long and 80 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?

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