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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 85 · 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 6 cm long and 3 cm wide. What is its perimeter? (a) 19 cm (b) 18 cm (c) 9 cm (d) 15 cm
  2. 2.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 10 sq cm (b) 16 sq cm (c) 24 sq cm (d) 20 sq cm
  3. 3.A rectangle has an area of 90 sq cm and a length of 18 cm. What is its width? (a) 5 cm (b) 10 cm (c) 72 cm (d) 6 cm
  4. 4.A rectangle is 9 cm long and 6 cm wide. What is its perimeter? (a) 24 cm (b) 54 cm (c) 15 cm (d) 30 cm
  5. 5.A rectangle is 13 cm long and 7 cm wide. What is its area? (a) 91 sq cm (b) 40 sq cm (c) 20 sq cm (d) 104 sq cm
  6. 6.A rectangle is 18 cm long and 11 cm wide. What is its area? (a) 58 sq cm (b) 29 sq cm (c) 216 sq cm (d) 198 sq cm
  7. 7.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 32 sq cm (b) 22 sq cm (c) 24 sq cm (d) 11 sq cm
  8. 8.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 20 cm (b) 26 cm (c) 42 cm (d) 13 cm
  9. 9.A rectangle has an area of 80 sq cm and a length of 16 cm. What is its width? (a) 6 cm (b) 5 cm (c) 10 cm (d) 64 cm
  10. 10.A rectangle is 11 cm long and 9 cm wide. What is its perimeter? (a) 40 cm (b) 99 cm (c) 20 cm (d) 31 cm
  11. 11.A rectangle is 19 cm long and 12 cm wide. What is its perimeter? (a) 228 cm (b) 62 cm (c) 50 cm (d) 31 cm
  12. 12.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 36 sq cm (c) 10 sq cm (d) 25 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 square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 225 sq cm (c) 56 sq cm (d) 196 sq cm
  15. 15.A rectangle has an area of 180 sq cm and a length of 15 cm. What is its width? (a) 165 cm (b) 13 cm (c) 24 cm (d) 12 cm
  16. 16.A rectangle is 15 cm long and 5 cm wide. What is its area? (a) 75 sq cm (b) 40 sq cm (c) 20 sq cm (d) 90 sq cm
  17. 17.A rectangle is 19 cm long and 5 cm wide. What is its area? (a) 24 sq cm (b) 48 sq cm (c) 95 sq cm (d) 114 sq cm
  18. 18.A rectangle has an area of 152 sq cm and a length of 19 cm. What is its width? (a) 16 cm (b) 9 cm (c) 133 cm (d) 8 cm
  19. 19.A rectangle is 12 cm long and 2 cm wide. What is its perimeter? (a) 28 cm (b) 24 cm (c) 26 cm (d) 14 cm
  20. 20.A rectangle is 11 cm long and 4 cm wide. What is its area? (a) 44 sq cm (b) 30 sq cm (c) 55 sq cm (d) 15 sq cm
  21. 21.A square has a perimeter of 48 cm. What is its area? (a) 144 sq cm (b) 48 sq cm (c) 24 sq cm (d) 169 sq cm
  22. 22.A rectangle is 15 cm long and 2 cm wide. What is its perimeter? (a) 17 cm (b) 34 cm (c) 32 cm (d) 30 cm
  23. 23.A rectangle is 10 cm long and 8 cm wide. What is its area? (a) 90 sq cm (b) 18 sq cm (c) 80 sq cm (d) 36 sq cm
  24. 24.A rectangle has an area of 119 sq cm and a length of 17 cm. What is its width? (a) 7 cm (b) 14 cm (c) 102 cm (d) 8 cm
  25. 25.A rectangle has an area of 48 sq cm and a length of 8 cm. What is its width? (a) 12 cm (b) 7 cm (c) 40 cm (d) 6 cm
  26. 26.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 64 sq cm (c) 81 sq cm (d) 32 sq cm
  27. 27.A rectangle has an area of 99 sq cm and a length of 11 cm. What is its width? (a) 18 cm (b) 10 cm (c) 9 cm (d) 88 cm
  28. 28.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 8 cm (b) 16 cm (c) 12 cm (d) 14 cm
  29. 29.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 100 sq cm (c) 121 sq cm (d) 20 sq cm
  30. 30.A rectangle is 14 cm long and 10 cm wide. What is its area? (a) 140 sq cm (b) 24 sq cm (c) 154 sq cm (d) 48 sq cm
  31. 31.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
  32. 32.A rectangle is 13 cm long and 3 cm wide. What is its perimeter? (a) 16 cm (b) 39 cm (c) 29 cm (d) 32 cm
  33. 33.A rectangle is 9 cm long and 8 cm wide. What is its perimeter? (a) 34 cm (b) 26 cm (c) 17 cm (d) 72 cm
  34. 34.A rectangle is 10 cm long and 4 cm wide. What is its area? (a) 50 sq cm (b) 14 sq cm (c) 40 sq cm (d) 28 sq cm
  35. 35.A rectangle has an area of 21 sq cm and a length of 7 cm. What is its width? (a) 14 cm (b) 4 cm (c) 3 cm (d) 6 cm
  36. 36.A rectangle is 15 cm long and 8 cm wide. What is its perimeter? (a) 38 cm (b) 46 cm (c) 120 cm (d) 23 cm
  37. 37.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 49 sq cm (c) 64 sq cm (d) 14 sq cm
  38. 38.A rectangle has an area of 60 sq cm and a length of 15 cm. What is its width? (a) 4 cm (b) 45 cm (c) 8 cm (d) 5 cm
  39. 39.A rectangle has an area of 100 sq cm and a length of 20 cm. What is its width? (a) 5 cm (b) 6 cm (c) 80 cm (d) 10 cm
  40. 40.A rectangle is 9 cm long and 6 cm wide. What is its area? (a) 30 sq cm (b) 54 sq cm (c) 63 sq cm (d) 15 sq cm

Answer key

  1. 18 cm
  2. 16 sq cm
  3. 5 cm
  4. 30 cm
  5. 91 sq cm
  6. 198 sq cm
  7. 24 sq cm
  8. 26 cm
  9. 5 cm
  10. 40 cm
  11. 62 cm
  12. 25 sq cm
  13. 169 sq cm
  14. 196 sq cm
  15. 12 cm
  16. 75 sq cm
  17. 95 sq cm
  18. 8 cm
  19. 28 cm
  20. 44 sq cm
  21. 144 sq cm
  22. 34 cm
  23. 80 sq cm
  24. 7 cm
  25. 6 cm
  26. 64 sq cm
  27. 9 cm
  28. 16 cm
  29. 100 sq cm
  30. 140 sq cm
  31. 121 sq cm
  32. 32 cm
  33. 34 cm
  34. 40 sq cm
  35. 3 cm
  36. 46 cm
  37. 49 sq cm
  38. 4 cm
  39. 5 cm
  40. 54 sq cm

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