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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 596 · 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 48 cm. What is its area? (a) 169 sq cm (b) 24 sq cm (c) 144 sq cm (d) 48 sq cm
  2. 2.A rectangle is 12 cm long and 9 cm wide. What is its area? (a) 120 sq cm (b) 21 sq cm (c) 108 sq cm (d) 42 sq cm
  3. 3.A rectangle is 14 cm long and 10 cm wide. What is its perimeter? (a) 140 cm (b) 24 cm (c) 38 cm (d) 48 cm
  4. 4.A rectangle has an area of 72 sq cm and a length of 9 cm. What is its width? (a) 8 cm (b) 9 cm (c) 63 cm (d) 16 cm
  5. 5.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 196 sq cm (c) 28 sq cm (d) 56 sq cm
  6. 6.A rectangle has an area of 45 sq cm and a length of 15 cm. What is its width? (a) 30 cm (b) 6 cm (c) 4 cm (d) 3 cm
  7. 7.A rectangle is 12 cm long and 4 cm wide. What is its perimeter? (a) 32 cm (b) 48 cm (c) 16 cm (d) 28 cm
  8. 8.A rectangle is 17 cm long and 6 cm wide. What is its area? (a) 102 sq cm (b) 23 sq cm (c) 46 sq cm (d) 119 sq cm
  9. 9.A rectangle is 14 cm long and 7 cm wide. What is its perimeter? (a) 35 cm (b) 21 cm (c) 42 cm (d) 98 cm
  10. 10.A rectangle is 19 cm long and 11 cm wide. What is its area? (a) 60 sq cm (b) 30 sq cm (c) 228 sq cm (d) 209 sq cm
  11. 11.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 9 cm (b) 18 cm (c) 19 cm (d) 15 cm
  12. 12.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
  13. 13.A rectangle is 11 cm long and 4 cm wide. What is its area? (a) 55 sq cm (b) 30 sq cm (c) 44 sq cm (d) 15 sq cm
  14. 14.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 8 sq cm (c) 18 sq cm (d) 12 sq cm
  15. 15.A rectangle is 11 cm long and 7 cm wide. What is its perimeter? (a) 29 cm (b) 77 cm (c) 18 cm (d) 36 cm
  16. 16.A rectangle is 9 cm long and 5 cm wide. What is its perimeter? (a) 14 cm (b) 45 cm (c) 28 cm (d) 23 cm
  17. 17.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 36 sq cm (b) 26 sq cm (c) 45 sq cm (d) 13 sq cm
  18. 18.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 20 cm (b) 13 cm (c) 26 cm (d) 42 cm
  19. 19.A rectangle is 9 cm long and 6 cm wide. What is its perimeter? (a) 54 cm (b) 15 cm (c) 24 cm (d) 30 cm
  20. 20.A rectangle is 20 cm long and 3 cm wide. What is its perimeter? (a) 43 cm (b) 60 cm (c) 23 cm (d) 46 cm
  21. 21.A rectangle is 9 cm long and 7 cm wide. What is its perimeter? (a) 16 cm (b) 32 cm (c) 25 cm (d) 63 cm
  22. 22.A rectangle is 16 cm long and 11 cm wide. What is its perimeter? (a) 176 cm (b) 27 cm (c) 43 cm (d) 54 cm
  23. 23.A rectangle has an area of 84 sq cm and a length of 12 cm. What is its width? (a) 14 cm (b) 7 cm (c) 8 cm (d) 72 cm
  24. 24.A rectangle is 18 cm long and 8 cm wide. What is its area? (a) 26 sq cm (b) 162 sq cm (c) 52 sq cm (d) 144 sq cm
  25. 25.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 27 sq cm (c) 22 sq cm (d) 11 sq cm
  26. 26.A rectangle is 10 cm long and 3 cm wide. What is its area? (a) 30 sq cm (b) 40 sq cm (c) 26 sq cm (d) 13 sq cm
  27. 27.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 121 sq cm (c) 100 sq cm (d) 40 sq cm
  28. 28.A rectangle has an area of 76 sq cm and a length of 19 cm. What is its width? (a) 4 cm (b) 8 cm (c) 57 cm (d) 5 cm
  29. 29.A rectangle is 17 cm long and 2 cm wide. What is its perimeter? (a) 34 cm (b) 36 cm (c) 19 cm (d) 38 cm
  30. 30.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 11 cm (b) 19 cm (c) 24 cm (d) 22 cm
  31. 31.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 32 sq cm (b) 22 sq cm (c) 11 sq cm (d) 24 sq cm
  32. 32.A rectangle is 12 cm long and 2 cm wide. What is its perimeter? (a) 24 cm (b) 26 cm (c) 14 cm (d) 28 cm
  33. 33.A rectangle has an area of 84 sq cm and a length of 14 cm. What is its width? (a) 7 cm (b) 70 cm (c) 12 cm (d) 6 cm
  34. 34.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 18 cm (b) 16 cm (c) 10 cm (d) 20 cm
  35. 35.A rectangle is 10 cm long and 3 cm wide. What is its perimeter? (a) 13 cm (b) 26 cm (c) 30 cm (d) 23 cm
  36. 36.A square has a perimeter of 32 cm. What is its area? (a) 64 sq cm (b) 32 sq cm (c) 16 sq cm (d) 81 sq cm
  37. 37.A rectangle is 16 cm long and 9 cm wide. What is its perimeter? (a) 144 cm (b) 50 cm (c) 41 cm (d) 25 cm
  38. 38.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 8 cm (b) 12 cm (c) 16 cm (d) 14 cm
  39. 39.A rectangle has an area of 70 sq cm and a length of 10 cm. What is its width? (a) 60 cm (b) 8 cm (c) 7 cm (d) 14 cm
  40. 40.A rectangle has an area of 108 sq cm and a length of 18 cm. What is its width? (a) 7 cm (b) 6 cm (c) 90 cm (d) 12 cm

Answer key

  1. 144 sq cm
  2. 108 sq cm
  3. 48 cm
  4. 8 cm
  5. 196 sq cm
  6. 3 cm
  7. 32 cm
  8. 102 sq cm
  9. 42 cm
  10. 209 sq cm
  11. 18 cm
  12. 225 sq cm
  13. 44 sq cm
  14. 12 sq cm
  15. 36 cm
  16. 28 cm
  17. 36 sq cm
  18. 26 cm
  19. 30 cm
  20. 46 cm
  21. 32 cm
  22. 54 cm
  23. 7 cm
  24. 144 sq cm
  25. 18 sq cm
  26. 30 sq cm
  27. 100 sq cm
  28. 4 cm
  29. 38 cm
  30. 22 cm
  31. 24 sq cm
  32. 28 cm
  33. 6 cm
  34. 20 cm
  35. 26 cm
  36. 64 sq cm
  37. 50 cm
  38. 16 cm
  39. 7 cm
  40. 6 cm

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