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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 551 · 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 8 sq cm and a length of 4 cm. What is its width? (a) 3 cm (b) 1 cm (c) 4 cm (d) 2 cm
  2. 2.A rectangle is 20 cm long and 5 cm wide. What is its area? (a) 50 sq cm (b) 120 sq cm (c) 25 sq cm (d) 100 sq cm
  3. 3.A rectangle is 10 cm long and 7 cm wide. What is its area? (a) 80 sq cm (b) 17 sq cm (c) 70 sq cm (d) 34 sq cm
  4. 4.A rectangle is 12 cm long and 6 cm wide. What is its perimeter? (a) 72 cm (b) 36 cm (c) 30 cm (d) 18 cm
  5. 5.A rectangle is 13 cm long and 10 cm wide. What is its perimeter? (a) 36 cm (b) 23 cm (c) 46 cm (d) 130 cm
  6. 6.A rectangle is 8 cm long and 5 cm wide. What is its perimeter? (a) 13 cm (b) 26 cm (c) 40 cm (d) 21 cm
  7. 7.A rectangle is 20 cm long and 4 cm wide. What is its perimeter? (a) 44 cm (b) 24 cm (c) 80 cm (d) 48 cm
  8. 8.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 27 sq cm (b) 12 sq cm (c) 24 sq cm (d) 36 sq cm
  9. 9.A rectangle is 14 cm long and 5 cm wide. What is its perimeter? (a) 38 cm (b) 19 cm (c) 70 cm (d) 33 cm
  10. 10.A rectangle is 14 cm long and 9 cm wide. What is its perimeter? (a) 46 cm (b) 37 cm (c) 126 cm (d) 23 cm
  11. 11.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 24 sq cm (b) 10 sq cm (c) 20 sq cm (d) 16 sq cm
  12. 12.A rectangle is 9 cm long and 6 cm wide. What is its area? (a) 63 sq cm (b) 30 sq cm (c) 54 sq cm (d) 15 sq cm
  13. 13.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 18 cm (b) 28 cm (c) 11 cm (d) 22 cm
  14. 14.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 30 cm (b) 11 cm (c) 17 cm (d) 22 cm
  15. 15.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 36 sq cm (c) 100 sq cm (d) 81 sq cm
  16. 16.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 144 sq cm (c) 24 sq cm (d) 169 sq cm
  17. 17.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 45 sq cm (b) 13 sq cm (c) 36 sq cm (d) 26 sq cm
  18. 18.A rectangle has an area of 18 sq cm and a length of 6 cm. What is its width? (a) 4 cm (b) 3 cm (c) 6 cm (d) 12 cm
  19. 19.A rectangle has an area of 187 sq cm and a length of 17 cm. What is its width? (a) 22 cm (b) 170 cm (c) 12 cm (d) 11 cm
  20. 20.A rectangle is 10 cm long and 8 cm wide. What is its perimeter? (a) 28 cm (b) 80 cm (c) 18 cm (d) 36 cm
  21. 21.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 12 sq cm (c) 49 sq cm (d) 36 sq cm
  22. 22.A rectangle has an area of 126 sq cm and a length of 14 cm. What is its width? (a) 18 cm (b) 9 cm (c) 112 cm (d) 10 cm
  23. 23.A rectangle is 12 cm long and 3 cm wide. What is its area? (a) 30 sq cm (b) 15 sq cm (c) 36 sq cm (d) 48 sq cm
  24. 24.A rectangle is 14 cm long and 8 cm wide. What is its area? (a) 44 sq cm (b) 22 sq cm (c) 112 sq cm (d) 126 sq cm
  25. 25.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 20 sq cm (c) 10 sq cm (d) 25 sq cm
  26. 26.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 169 sq cm (c) 196 sq cm (d) 26 sq cm
  27. 27.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 42 sq cm (b) 13 sq cm (c) 49 sq cm (d) 26 sq cm
  28. 28.A rectangle has an area of 128 sq cm and a length of 16 cm. What is its width? (a) 8 cm (b) 16 cm (c) 9 cm (d) 112 cm
  29. 29.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
  30. 30.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 32 sq cm (c) 64 sq cm (d) 81 sq cm
  31. 31.A rectangle is 19 cm long and 5 cm wide. What is its area? (a) 95 sq cm (b) 114 sq cm (c) 24 sq cm (d) 48 sq cm
  32. 32.A rectangle is 16 cm long and 5 cm wide. What is its perimeter? (a) 37 cm (b) 42 cm (c) 80 cm (d) 21 cm
  33. 33.A rectangle is 17 cm long and 11 cm wide. What is its perimeter? (a) 187 cm (b) 28 cm (c) 45 cm (d) 56 cm
  34. 34.A rectangle has an area of 240 sq cm and a length of 20 cm. What is its width? (a) 220 cm (b) 24 cm (c) 12 cm (d) 13 cm
  35. 35.A rectangle is 10 cm long and 6 cm wide. What is its perimeter? (a) 16 cm (b) 60 cm (c) 26 cm (d) 32 cm
  36. 36.A rectangle is 12 cm long and 7 cm wide. What is its area? (a) 84 sq cm (b) 19 sq cm (c) 38 sq cm (d) 96 sq cm
  37. 37.A rectangle is 15 cm long and 10 cm wide. What is its perimeter? (a) 150 cm (b) 40 cm (c) 50 cm (d) 25 cm
  38. 38.A rectangle is 19 cm long and 8 cm wide. What is its area? (a) 171 sq cm (b) 152 sq cm (c) 54 sq cm (d) 27 sq cm
  39. 39.A rectangle is 19 cm long and 11 cm wide. What is its area? (a) 209 sq cm (b) 30 sq cm (c) 60 sq cm (d) 228 sq cm
  40. 40.A rectangle is 15 cm long and 2 cm wide. What is its area? (a) 45 sq cm (b) 17 sq cm (c) 30 sq cm (d) 34 sq cm

Answer key

  1. 2 cm
  2. 100 sq cm
  3. 70 sq cm
  4. 36 cm
  5. 46 cm
  6. 26 cm
  7. 48 cm
  8. 27 sq cm
  9. 38 cm
  10. 46 cm
  11. 16 sq cm
  12. 54 sq cm
  13. 22 cm
  14. 22 cm
  15. 81 sq cm
  16. 144 sq cm
  17. 36 sq cm
  18. 3 cm
  19. 11 cm
  20. 36 cm
  21. 36 sq cm
  22. 9 cm
  23. 36 sq cm
  24. 112 sq cm
  25. 25 sq cm
  26. 169 sq cm
  27. 42 sq cm
  28. 8 cm
  29. 60 sq cm
  30. 64 sq cm
  31. 95 sq cm
  32. 42 cm
  33. 56 cm
  34. 12 cm
  35. 32 cm
  36. 84 sq cm
  37. 50 cm
  38. 152 sq cm
  39. 209 sq cm
  40. 30 sq cm

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