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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 563 · 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 10 cm wide. What is its area? (a) 220 sq cm (b) 30 sq cm (c) 200 sq cm (d) 60 sq cm
  2. 2.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 81 sq cm (c) 64 sq cm (d) 16 sq cm
  3. 3.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 196 sq cm (c) 225 sq cm (d) 28 sq cm
  4. 4.A rectangle is 17 cm long and 3 cm wide. What is its area? (a) 51 sq cm (b) 20 sq cm (c) 40 sq cm (d) 68 sq cm
  5. 5.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
  6. 6.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 54 sq cm (b) 14 sq cm (c) 45 sq cm (d) 28 sq cm
  7. 7.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 12 cm (b) 8 cm (c) 14 cm (d) 16 cm
  8. 8.A rectangle is 19 cm long and 10 cm wide. What is its perimeter? (a) 29 cm (b) 190 cm (c) 48 cm (d) 58 cm
  9. 9.A rectangle is 10 cm long and 4 cm wide. What is its area? (a) 14 sq cm (b) 28 sq cm (c) 50 sq cm (d) 40 sq cm
  10. 10.A rectangle is 9 cm long and 8 cm wide. What is its perimeter? (a) 26 cm (b) 17 cm (c) 34 cm (d) 72 cm
  11. 11.A rectangle has an area of 100 sq cm and a length of 20 cm. What is its width? (a) 80 cm (b) 10 cm (c) 5 cm (d) 6 cm
  12. 12.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 12 sq cm (b) 36 sq cm (c) 24 sq cm (d) 27 sq cm
  13. 13.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
  14. 14.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 48 sq cm (c) 144 sq cm (d) 24 sq cm
  15. 15.A rectangle is 17 cm long and 8 cm wide. What is its area? (a) 25 sq cm (b) 50 sq cm (c) 153 sq cm (d) 136 sq cm
  16. 16.A rectangle is 20 cm long and 3 cm wide. What is its area? (a) 80 sq cm (b) 23 sq cm (c) 60 sq cm (d) 46 sq cm
  17. 17.A rectangle is 16 cm long and 4 cm wide. What is its area? (a) 20 sq cm (b) 40 sq cm (c) 64 sq cm (d) 80 sq cm
  18. 18.A rectangle is 10 cm long and 5 cm wide. What is its area? (a) 60 sq cm (b) 30 sq cm (c) 50 sq cm (d) 15 sq cm
  19. 19.A rectangle is 12 cm long and 10 cm wide. What is its area? (a) 44 sq cm (b) 132 sq cm (c) 120 sq cm (d) 22 sq cm
  20. 20.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 81 sq cm (c) 36 sq cm (d) 100 sq cm
  21. 21.A rectangle is 11 cm long and 3 cm wide. What is its area? (a) 14 sq cm (b) 33 sq cm (c) 44 sq cm (d) 28 sq cm
  22. 22.A rectangle is 19 cm long and 12 cm wide. What is its area? (a) 228 sq cm (b) 62 sq cm (c) 31 sq cm (d) 247 sq cm
  23. 23.A rectangle is 9 cm long and 5 cm wide. What is its perimeter? (a) 23 cm (b) 14 cm (c) 28 cm (d) 45 cm
  24. 24.A rectangle is 13 cm long and 11 cm wide. What is its area? (a) 48 sq cm (b) 156 sq cm (c) 24 sq cm (d) 143 sq cm
  25. 25.A square has a perimeter of 40 cm. What is its area? (a) 100 sq cm (b) 20 sq cm (c) 40 sq cm (d) 121 sq cm
  26. 26.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 36 sq cm (c) 12 sq cm (d) 24 sq cm
  27. 27.A square has a perimeter of 28 cm. What is its area? (a) 49 sq cm (b) 14 sq cm (c) 64 sq cm (d) 28 sq cm
  28. 28.A rectangle has an area of 84 sq cm and a length of 14 cm. What is its width? (a) 12 cm (b) 7 cm (c) 6 cm (d) 70 cm
  29. 29.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 19 cm (b) 22 cm (c) 24 cm (d) 11 cm
  30. 30.A rectangle is 12 cm long and 11 cm wide. What is its perimeter? (a) 46 cm (b) 23 cm (c) 35 cm (d) 132 cm
  31. 31.A rectangle has an area of 198 sq cm and a length of 18 cm. What is its width? (a) 12 cm (b) 11 cm (c) 180 cm (d) 22 cm
  32. 32.A rectangle has an area of 140 sq cm and a length of 20 cm. What is its width? (a) 14 cm (b) 120 cm (c) 8 cm (d) 7 cm
  33. 33.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 18 cm (c) 14 cm (d) 9 cm
  34. 34.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 26 sq cm (c) 169 sq cm (d) 196 sq cm
  35. 35.A rectangle is 19 cm long and 6 cm wide. What is its perimeter? (a) 50 cm (b) 44 cm (c) 25 cm (d) 114 cm
  36. 36.A rectangle has an area of 32 sq cm and a length of 8 cm. What is its width? (a) 24 cm (b) 8 cm (c) 5 cm (d) 4 cm
  37. 37.A rectangle has an area of 51 sq cm and a length of 17 cm. What is its width? (a) 3 cm (b) 4 cm (c) 34 cm (d) 6 cm
  38. 38.A rectangle is 14 cm long and 11 cm wide. What is its area? (a) 25 sq cm (b) 50 sq cm (c) 154 sq cm (d) 168 sq cm
  39. 39.A rectangle has an area of 28 sq cm and a length of 7 cm. What is its width? (a) 5 cm (b) 4 cm (c) 21 cm (d) 8 cm
  40. 40.A rectangle is 18 cm long and 6 cm wide. What is its perimeter? (a) 42 cm (b) 48 cm (c) 108 cm (d) 24 cm

Answer key

  1. 200 sq cm
  2. 64 sq cm
  3. 196 sq cm
  4. 51 sq cm
  5. 121 sq cm
  6. 45 sq cm
  7. 16 cm
  8. 58 cm
  9. 40 sq cm
  10. 34 cm
  11. 5 cm
  12. 27 sq cm
  13. 25 sq cm
  14. 144 sq cm
  15. 136 sq cm
  16. 60 sq cm
  17. 64 sq cm
  18. 50 sq cm
  19. 120 sq cm
  20. 81 sq cm
  21. 33 sq cm
  22. 228 sq cm
  23. 28 cm
  24. 143 sq cm
  25. 100 sq cm
  26. 36 sq cm
  27. 49 sq cm
  28. 6 cm
  29. 22 cm
  30. 46 cm
  31. 11 cm
  32. 7 cm
  33. 18 cm
  34. 169 sq cm
  35. 50 cm
  36. 4 cm
  37. 3 cm
  38. 154 sq cm
  39. 4 cm
  40. 48 cm

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