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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 647 · 40 questions
TalentJR

How to solve it (Round or inside?): Rectangle: perimeter = 2 × (length + width); area = length × width. Square: perimeter = 4 × side; area = side × side. From the perimeter, side = perimeter ÷ 4. Missing side: width = area ÷ length.

NameDateTime takenScore ___ / 40
  1. 1.A square has a perimeter of 24 cm. What is its area? (a) 36 sq cm (b) 49 sq cm (c) 24 sq cm (d) 12 sq cm
  2. 2.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 28 sq cm (b) 10 sq cm (c) 20 sq cm (d) 21 sq cm
  3. 3.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 60 sq cm (c) 225 sq cm (d) 30 sq cm
  4. 4.A rectangle has an area of 114 sq cm and a length of 19 cm. What is its width? (a) 7 cm (b) 95 cm (c) 6 cm (d) 12 cm
  5. 5.A rectangle has an area of 85 sq cm and a length of 17 cm. What is its width? (a) 10 cm (b) 5 cm (c) 68 cm (d) 6 cm
  6. 6.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 28 sq cm (c) 56 sq cm (d) 225 sq cm
  7. 7.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 20 cm (b) 18 cm (c) 10 cm (d) 16 cm
  8. 8.A rectangle is 16 cm long and 3 cm wide. What is its perimeter? (a) 19 cm (b) 35 cm (c) 38 cm (d) 48 cm
  9. 9.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 24 sq cm (d) 30 sq cm
  10. 10.A rectangle has an area of 50 sq cm and a length of 10 cm. What is its width? (a) 40 cm (b) 6 cm (c) 5 cm (d) 10 cm
  11. 11.A rectangle is 10 cm long and 4 cm wide. What is its area? (a) 50 sq cm (b) 28 sq cm (c) 40 sq cm (d) 14 sq cm
  12. 12.A rectangle has an area of 8 sq cm and a length of 4 cm. What is its width? (a) 4 cm (b) 2 cm (c) 3 cm (d) 1 cm
  13. 13.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 12 sq cm (b) 24 sq cm (c) 40 sq cm (d) 32 sq cm
  14. 14.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 32 sq cm (c) 81 sq cm (d) 64 sq cm
  15. 15.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 11 sq cm (b) 22 sq cm (c) 24 sq cm (d) 32 sq cm
  16. 16.A rectangle has an area of 108 sq cm and a length of 12 cm. What is its width? (a) 96 cm (b) 10 cm (c) 9 cm (d) 18 cm
  17. 17.A rectangle has an area of 45 sq cm and a length of 15 cm. What is its width? (a) 6 cm (b) 4 cm (c) 30 cm (d) 3 cm
  18. 18.A rectangle has an area of 16 sq cm and a length of 8 cm. What is its width? (a) 8 cm (b) 4 cm (c) 2 cm (d) 3 cm
  19. 19.A rectangle has an area of 165 sq cm and a length of 15 cm. What is its width? (a) 12 cm (b) 150 cm (c) 11 cm (d) 22 cm
  20. 20.A rectangle is 16 cm long and 12 cm wide. What is its area? (a) 208 sq cm (b) 192 sq cm (c) 28 sq cm (d) 56 sq cm
  21. 21.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 14 cm (b) 18 cm (c) 9 cm (d) 16 cm
  22. 22.A rectangle is 13 cm long and 2 cm wide. What is its area? (a) 15 sq cm (b) 26 sq cm (c) 39 sq cm (d) 30 sq cm
  23. 23.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 20 sq cm (c) 100 sq cm (d) 40 sq cm
  24. 24.A rectangle has an area of 63 sq cm and a length of 9 cm. What is its width? (a) 8 cm (b) 14 cm (c) 7 cm (d) 54 cm
  25. 25.A rectangle is 16 cm long and 7 cm wide. What is its perimeter? (a) 39 cm (b) 23 cm (c) 112 cm (d) 46 cm
  26. 26.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 19 sq cm (b) 9 sq cm (c) 18 sq cm (d) 24 sq cm
  27. 27.A rectangle is 15 cm long and 3 cm wide. What is its area? (a) 36 sq cm (b) 45 sq cm (c) 18 sq cm (d) 60 sq cm
  28. 28.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 30 sq cm (b) 64 sq cm (c) 56 sq cm (d) 15 sq cm
  29. 29.A rectangle has an area of 132 sq cm and a length of 12 cm. What is its width? (a) 12 cm (b) 22 cm (c) 120 cm (d) 11 cm
  30. 30.A rectangle is 20 cm long and 8 cm wide. What is its area? (a) 180 sq cm (b) 160 sq cm (c) 28 sq cm (d) 56 sq cm
  31. 31.A rectangle has an area of 14 sq cm and a length of 7 cm. What is its width? (a) 7 cm (b) 2 cm (c) 3 cm (d) 4 cm
  32. 32.A rectangle is 13 cm long and 10 cm wide. What is its perimeter? (a) 130 cm (b) 46 cm (c) 36 cm (d) 23 cm
  33. 33.A rectangle is 18 cm long and 8 cm wide. What is its area? (a) 52 sq cm (b) 144 sq cm (c) 162 sq cm (d) 26 sq cm
  34. 34.A rectangle is 13 cm long and 6 cm wide. What is its area? (a) 38 sq cm (b) 19 sq cm (c) 78 sq cm (d) 91 sq cm
  35. 35.A rectangle is 20 cm long and 11 cm wide. What is its area? (a) 240 sq cm (b) 220 sq cm (c) 62 sq cm (d) 31 sq cm
  36. 36.A rectangle is 14 cm long and 3 cm wide. What is its perimeter? (a) 31 cm (b) 42 cm (c) 34 cm (d) 17 cm
  37. 37.A rectangle has an area of 6 sq cm and a length of 3 cm. What is its width? (a) 3 cm (b) 1 cm (c) 2 cm (d) 4 cm
  38. 38.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 22 sq cm (c) 121 sq cm (d) 44 sq cm
  39. 39.A rectangle has an area of 240 sq cm and a length of 20 cm. What is its width? (a) 24 cm (b) 220 cm (c) 13 cm (d) 12 cm
  40. 40.A rectangle is 20 cm long and 10 cm wide. What is its area? (a) 200 sq cm (b) 60 sq cm (c) 30 sq cm (d) 220 sq cm

Answer key

  1. 36 sq cm
  2. 21 sq cm
  3. 225 sq cm
  4. 6 cm
  5. 5 cm
  6. 196 sq cm
  7. 20 cm
  8. 38 cm
  9. 24 sq cm
  10. 5 cm
  11. 40 sq cm
  12. 2 cm
  13. 32 sq cm
  14. 64 sq cm
  15. 24 sq cm
  16. 9 cm
  17. 3 cm
  18. 2 cm
  19. 11 cm
  20. 192 sq cm
  21. 18 cm
  22. 26 sq cm
  23. 100 sq cm
  24. 7 cm
  25. 46 cm
  26. 18 sq cm
  27. 45 sq cm
  28. 56 sq cm
  29. 11 cm
  30. 160 sq cm
  31. 2 cm
  32. 46 cm
  33. 144 sq cm
  34. 78 sq cm
  35. 220 sq cm
  36. 34 cm
  37. 2 cm
  38. 121 sq cm
  39. 12 cm
  40. 200 sq cm

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