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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 251 · 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 rectangle has an area of 98 sq cm and a length of 14 cm. What is its width? (a) 8 cm (b) 84 cm (c) 14 cm (d) 7 cm
  2. 2.A rectangle is 18 cm long and 7 cm wide. What is its perimeter? (a) 126 cm (b) 43 cm (c) 25 cm (d) 50 cm
  3. 3.A rectangle is 19 cm long and 10 cm wide. What is its area? (a) 190 sq cm (b) 29 sq cm (c) 58 sq cm (d) 209 sq cm
  4. 4.A rectangle has an area of 140 sq cm and a length of 14 cm. What is its width? (a) 20 cm (b) 10 cm (c) 11 cm (d) 126 cm
  5. 5.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 30 sq cm (c) 60 sq cm (d) 225 sq cm
  6. 6.A rectangle is 10 cm long and 6 cm wide. What is its area? (a) 60 sq cm (b) 16 sq cm (c) 70 sq cm (d) 32 sq cm
  7. 7.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 56 sq cm (c) 28 sq cm (d) 225 sq cm
  8. 8.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 14 sq cm (b) 48 sq cm (c) 56 sq cm (d) 28 sq cm
  9. 9.A rectangle is 11 cm long and 5 cm wide. What is its area? (a) 66 sq cm (b) 55 sq cm (c) 32 sq cm (d) 16 sq cm
  10. 10.A rectangle has an area of 85 sq cm and a length of 17 cm. What is its width? (a) 6 cm (b) 5 cm (c) 68 cm (d) 10 cm
  11. 11.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 144 sq cm (c) 44 sq cm (d) 121 sq cm
  12. 12.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 9 sq cm (b) 24 sq cm (c) 18 sq cm (d) 19 sq cm
  13. 13.A square has a perimeter of 52 cm. What is its area? (a) 26 sq cm (b) 196 sq cm (c) 169 sq cm (d) 52 sq cm
  14. 14.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 15 cm (b) 9 cm (c) 18 cm (d) 19 cm
  15. 15.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 16 sq cm (c) 32 sq cm (d) 64 sq cm
  16. 16.A rectangle is 9 cm long and 8 cm wide. What is its perimeter? (a) 26 cm (b) 72 cm (c) 17 cm (d) 34 cm
  17. 17.A rectangle has an area of 168 sq cm and a length of 14 cm. What is its width? (a) 12 cm (b) 13 cm (c) 24 cm (d) 154 cm
  18. 18.A rectangle is 17 cm long and 5 cm wide. What is its perimeter? (a) 22 cm (b) 44 cm (c) 85 cm (d) 39 cm
  19. 19.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 22 sq cm (b) 11 sq cm (c) 32 sq cm (d) 24 sq cm
  20. 20.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 14 cm (b) 12 cm (c) 16 cm (d) 8 cm
  21. 21.A rectangle is 12 cm long and 10 cm wide. What is its perimeter? (a) 34 cm (b) 22 cm (c) 44 cm (d) 120 cm
  22. 22.A rectangle is 18 cm long and 4 cm wide. What is its perimeter? (a) 22 cm (b) 72 cm (c) 40 cm (d) 44 cm
  23. 23.A rectangle is 20 cm long and 6 cm wide. What is its area? (a) 52 sq cm (b) 26 sq cm (c) 140 sq cm (d) 120 sq cm
  24. 24.A rectangle has an area of 80 sq cm and a length of 10 cm. What is its width? (a) 8 cm (b) 70 cm (c) 9 cm (d) 16 cm
  25. 25.A rectangle is 13 cm long and 4 cm wide. What is its area? (a) 17 sq cm (b) 65 sq cm (c) 34 sq cm (d) 52 sq cm
  26. 26.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 20 sq cm (c) 25 sq cm (d) 10 sq cm
  27. 27.A rectangle is 20 cm long and 7 cm wide. What is its area? (a) 54 sq cm (b) 160 sq cm (c) 27 sq cm (d) 140 sq cm
  28. 28.A rectangle is 17 cm long and 4 cm wide. What is its area? (a) 42 sq cm (b) 68 sq cm (c) 21 sq cm (d) 85 sq cm
  29. 29.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 14 sq cm (c) 49 sq cm (d) 28 sq cm
  30. 30.A rectangle is 20 cm long and 3 cm wide. What is its perimeter? (a) 60 cm (b) 23 cm (c) 43 cm (d) 46 cm
  31. 31.A rectangle is 19 cm long and 3 cm wide. What is its area? (a) 44 sq cm (b) 76 sq cm (c) 22 sq cm (d) 57 sq cm
  32. 32.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 19 cm (b) 11 cm (c) 24 cm (d) 22 cm
  33. 33.A rectangle is 10 cm long and 3 cm wide. What is its area? (a) 40 sq cm (b) 13 sq cm (c) 30 sq cm (d) 26 sq cm
  34. 34.A rectangle has an area of 22 sq cm and a length of 11 cm. What is its width? (a) 3 cm (b) 4 cm (c) 11 cm (d) 2 cm
  35. 35.A rectangle is 18 cm long and 3 cm wide. What is its perimeter? (a) 39 cm (b) 42 cm (c) 54 cm (d) 21 cm
  36. 36.A rectangle is 8 cm long and 6 cm wide. What is its perimeter? (a) 14 cm (b) 22 cm (c) 28 cm (d) 48 cm
  37. 37.A rectangle is 20 cm long and 10 cm wide. What is its area? (a) 200 sq cm (b) 30 sq cm (c) 60 sq cm (d) 220 sq cm
  38. 38.A rectangle has an area of 130 sq cm and a length of 13 cm. What is its width? (a) 117 cm (b) 11 cm (c) 20 cm (d) 10 cm
  39. 39.A rectangle is 10 cm long and 6 cm wide. What is its perimeter? (a) 60 cm (b) 26 cm (c) 32 cm (d) 16 cm
  40. 40.A rectangle is 20 cm long and 12 cm wide. What is its perimeter? (a) 32 cm (b) 64 cm (c) 240 cm (d) 52 cm

Answer key

  1. 7 cm
  2. 50 cm
  3. 190 sq cm
  4. 10 cm
  5. 225 sq cm
  6. 60 sq cm
  7. 196 sq cm
  8. 48 sq cm
  9. 55 sq cm
  10. 5 cm
  11. 121 sq cm
  12. 18 sq cm
  13. 169 sq cm
  14. 18 cm
  15. 64 sq cm
  16. 34 cm
  17. 12 cm
  18. 44 cm
  19. 24 sq cm
  20. 16 cm
  21. 44 cm
  22. 44 cm
  23. 120 sq cm
  24. 8 cm
  25. 52 sq cm
  26. 25 sq cm
  27. 140 sq cm
  28. 68 sq cm
  29. 49 sq cm
  30. 46 cm
  31. 57 sq cm
  32. 22 cm
  33. 30 sq cm
  34. 2 cm
  35. 42 cm
  36. 28 cm
  37. 200 sq cm
  38. 10 cm
  39. 32 cm
  40. 64 cm

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