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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 171 · 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 is 20 cm long and 3 cm wide. What is its perimeter? (a) 46 cm (b) 43 cm (c) 60 cm (d) 23 cm
  2. 2.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 24 cm (b) 10 cm (c) 20 cm (d) 16 cm
  3. 3.A rectangle is 18 cm long and 10 cm wide. What is its area? (a) 198 sq cm (b) 28 sq cm (c) 180 sq cm (d) 56 sq cm
  4. 4.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 100 sq cm (c) 81 sq cm (d) 18 sq cm
  5. 5.A rectangle has an area of 144 sq cm and a length of 18 cm. What is its width? (a) 16 cm (b) 8 cm (c) 9 cm (d) 126 cm
  6. 6.A rectangle is 9 cm long and 2 cm wide. What is its perimeter? (a) 22 cm (b) 11 cm (c) 20 cm (d) 18 cm
  7. 7.A rectangle is 17 cm long and 10 cm wide. What is its area? (a) 54 sq cm (b) 187 sq cm (c) 27 sq cm (d) 170 sq cm
  8. 8.A rectangle is 20 cm long and 6 cm wide. What is its area? (a) 26 sq cm (b) 140 sq cm (c) 120 sq cm (d) 52 sq cm
  9. 9.A square has a perimeter of 60 cm. What is its area? (a) 225 sq cm (b) 256 sq cm (c) 30 sq cm (d) 60 sq cm
  10. 10.A rectangle is 11 cm long and 8 cm wide. What is its area? (a) 88 sq cm (b) 19 sq cm (c) 38 sq cm (d) 99 sq cm
  11. 11.A rectangle is 14 cm long and 10 cm wide. What is its perimeter? (a) 140 cm (b) 38 cm (c) 24 cm (d) 48 cm
  12. 12.A rectangle is 11 cm long and 5 cm wide. What is its perimeter? (a) 27 cm (b) 55 cm (c) 16 cm (d) 32 cm
  13. 13.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 25 sq cm (c) 20 sq cm (d) 10 sq cm
  14. 14.A rectangle is 18 cm long and 4 cm wide. What is its perimeter? (a) 44 cm (b) 40 cm (c) 72 cm (d) 22 cm
  15. 15.A rectangle is 12 cm long and 10 cm wide. What is its area? (a) 22 sq cm (b) 132 sq cm (c) 120 sq cm (d) 44 sq cm
  16. 16.A rectangle is 9 cm long and 6 cm wide. What is its perimeter? (a) 15 cm (b) 30 cm (c) 24 cm (d) 54 cm
  17. 17.A rectangle has an area of 54 sq cm and a length of 18 cm. What is its width? (a) 6 cm (b) 4 cm (c) 36 cm (d) 3 cm
  18. 18.A rectangle is 14 cm long and 5 cm wide. What is its perimeter? (a) 33 cm (b) 19 cm (c) 38 cm (d) 70 cm
  19. 19.A rectangle has an area of 64 sq cm and a length of 16 cm. What is its width? (a) 4 cm (b) 5 cm (c) 48 cm (d) 8 cm
  20. 20.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 225 sq cm (c) 56 sq cm (d) 28 sq cm
  21. 21.A rectangle has an area of 108 sq cm and a length of 12 cm. What is its width? (a) 9 cm (b) 96 cm (c) 10 cm (d) 18 cm
  22. 22.A rectangle is 19 cm long and 4 cm wide. What is its area? (a) 76 sq cm (b) 23 sq cm (c) 95 sq cm (d) 46 sq cm
  23. 23.A rectangle is 14 cm long and 3 cm wide. What is its area? (a) 42 sq cm (b) 56 sq cm (c) 17 sq cm (d) 34 sq cm
  24. 24.A square has a perimeter of 52 cm. What is its area? (a) 169 sq cm (b) 52 sq cm (c) 26 sq cm (d) 196 sq cm
  25. 25.A rectangle is 14 cm long and 8 cm wide. What is its perimeter? (a) 36 cm (b) 112 cm (c) 22 cm (d) 44 cm
  26. 26.A rectangle is 13 cm long and 10 cm wide. What is its perimeter? (a) 23 cm (b) 36 cm (c) 130 cm (d) 46 cm
  27. 27.A rectangle is 9 cm long and 8 cm wide. What is its perimeter? (a) 17 cm (b) 72 cm (c) 26 cm (d) 34 cm
  28. 28.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
  29. 29.A rectangle has an area of 150 sq cm and a length of 15 cm. What is its width? (a) 135 cm (b) 11 cm (c) 20 cm (d) 10 cm
  30. 30.A rectangle is 11 cm long and 9 cm wide. What is its area? (a) 110 sq cm (b) 20 sq cm (c) 99 sq cm (d) 40 sq cm
  31. 31.A rectangle has an area of 160 sq cm and a length of 16 cm. What is its width? (a) 20 cm (b) 144 cm (c) 11 cm (d) 10 cm
  32. 32.A rectangle has an area of 36 sq cm and a length of 12 cm. What is its width? (a) 4 cm (b) 6 cm (c) 24 cm (d) 3 cm
  33. 33.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 12 sq cm (b) 40 sq cm (c) 32 sq cm (d) 24 sq cm
  34. 34.A rectangle has an area of 30 sq cm and a length of 15 cm. What is its width? (a) 2 cm (b) 4 cm (c) 3 cm (d) 15 cm
  35. 35.A rectangle has an area of 228 sq cm and a length of 19 cm. What is its width? (a) 12 cm (b) 13 cm (c) 24 cm (d) 209 cm
  36. 36.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 144 sq cm (c) 121 sq cm (d) 44 sq cm
  37. 37.A rectangle has an area of 140 sq cm and a length of 14 cm. What is its width? (a) 126 cm (b) 10 cm (c) 11 cm (d) 20 cm
  38. 38.A rectangle is 15 cm long and 7 cm wide. What is its area? (a) 22 sq cm (b) 105 sq cm (c) 44 sq cm (d) 120 sq cm
  39. 39.A rectangle is 18 cm long and 2 cm wide. What is its area? (a) 40 sq cm (b) 20 sq cm (c) 36 sq cm (d) 54 sq cm
  40. 40.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

Answer key

  1. 46 cm
  2. 20 cm
  3. 180 sq cm
  4. 81 sq cm
  5. 8 cm
  6. 22 cm
  7. 170 sq cm
  8. 120 sq cm
  9. 225 sq cm
  10. 88 sq cm
  11. 48 cm
  12. 32 cm
  13. 25 sq cm
  14. 44 cm
  15. 120 sq cm
  16. 30 cm
  17. 3 cm
  18. 38 cm
  19. 4 cm
  20. 196 sq cm
  21. 9 cm
  22. 76 sq cm
  23. 42 sq cm
  24. 169 sq cm
  25. 44 cm
  26. 46 cm
  27. 34 cm
  28. 38 cm
  29. 10 cm
  30. 99 sq cm
  31. 10 cm
  32. 3 cm
  33. 32 sq cm
  34. 2 cm
  35. 12 cm
  36. 121 sq cm
  37. 10 cm
  38. 105 sq cm
  39. 36 sq cm
  40. 36 sq cm

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