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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 862 · 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 15 cm long and 2 cm wide. What is its perimeter? (a) 30 cm (b) 34 cm (c) 17 cm (d) 32 cm
  2. 2.A rectangle is 12 cm long and 7 cm wide. What is its area? (a) 84 sq cm (b) 96 sq cm (c) 19 sq cm (d) 38 sq cm
  3. 3.A rectangle has an area of 168 sq cm and a length of 14 cm. What is its width? (a) 13 cm (b) 24 cm (c) 154 cm (d) 12 cm
  4. 4.A rectangle has an area of 65 sq cm and a length of 13 cm. What is its width? (a) 52 cm (b) 10 cm (c) 5 cm (d) 6 cm
  5. 5.A rectangle is 9 cm long and 7 cm wide. What is its perimeter? (a) 25 cm (b) 16 cm (c) 32 cm (d) 63 cm
  6. 6.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 196 sq cm (c) 56 sq cm (d) 225 sq cm
  7. 7.A rectangle is 19 cm long and 2 cm wide. What is its perimeter? (a) 21 cm (b) 38 cm (c) 40 cm (d) 42 cm
  8. 8.A rectangle is 20 cm long and 11 cm wide. What is its perimeter? (a) 51 cm (b) 220 cm (c) 31 cm (d) 62 cm
  9. 9.A rectangle is 15 cm long and 3 cm wide. What is its area? (a) 45 sq cm (b) 36 sq cm (c) 60 sq cm (d) 18 sq cm
  10. 10.A rectangle is 19 cm long and 11 cm wide. What is its perimeter? (a) 209 cm (b) 60 cm (c) 49 cm (d) 30 cm
  11. 11.A rectangle is 19 cm long and 4 cm wide. What is its area? (a) 95 sq cm (b) 23 sq cm (c) 76 sq cm (d) 46 sq cm
  12. 12.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 30 sq cm (c) 60 sq cm (d) 225 sq cm
  13. 13.A rectangle is 17 cm long and 8 cm wide. What is its area? (a) 25 sq cm (b) 153 sq cm (c) 50 sq cm (d) 136 sq cm
  14. 14.A rectangle has an area of 30 sq cm and a length of 6 cm. What is its width? (a) 10 cm (b) 6 cm (c) 24 cm (d) 5 cm
  15. 15.A rectangle is 10 cm long and 3 cm wide. What is its area? (a) 30 sq cm (b) 13 sq cm (c) 40 sq cm (d) 26 sq cm
  16. 16.A rectangle is 18 cm long and 7 cm wide. What is its perimeter? (a) 50 cm (b) 43 cm (c) 126 cm (d) 25 cm
  17. 17.A rectangle has an area of 119 sq cm and a length of 17 cm. What is its width? (a) 7 cm (b) 102 cm (c) 8 cm (d) 14 cm
  18. 18.A rectangle is 17 cm long and 6 cm wide. What is its perimeter? (a) 40 cm (b) 23 cm (c) 46 cm (d) 102 cm
  19. 19.A rectangle is 10 cm long and 4 cm wide. What is its area? (a) 40 sq cm (b) 50 sq cm (c) 28 sq cm (d) 14 sq cm
  20. 20.A rectangle has an area of 33 sq cm and a length of 11 cm. What is its width? (a) 22 cm (b) 6 cm (c) 4 cm (d) 3 cm
  21. 21.A rectangle is 13 cm long and 9 cm wide. What is its perimeter? (a) 117 cm (b) 35 cm (c) 44 cm (d) 22 cm
  22. 22.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 11 sq cm (b) 22 sq cm (c) 24 sq cm (d) 32 sq cm
  23. 23.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 24 sq cm (b) 42 sq cm (c) 35 sq cm (d) 12 sq cm
  24. 24.A rectangle is 15 cm long and 8 cm wide. What is its perimeter? (a) 23 cm (b) 120 cm (c) 38 cm (d) 46 cm
  25. 25.A rectangle has an area of 156 sq cm and a length of 13 cm. What is its width? (a) 143 cm (b) 13 cm (c) 12 cm (d) 24 cm
  26. 26.A rectangle is 20 cm long and 2 cm wide. What is its perimeter? (a) 22 cm (b) 40 cm (c) 44 cm (d) 42 cm
  27. 27.A rectangle has an area of 200 sq cm and a length of 20 cm. What is its width? (a) 11 cm (b) 10 cm (c) 180 cm (d) 20 cm
  28. 28.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
  29. 29.A rectangle is 14 cm long and 5 cm wide. What is its area? (a) 38 sq cm (b) 84 sq cm (c) 19 sq cm (d) 70 sq cm
  30. 30.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 21 cm (b) 20 cm (c) 10 cm (d) 17 cm
  31. 31.A rectangle is 18 cm long and 11 cm wide. What is its area? (a) 58 sq cm (b) 198 sq cm (c) 29 sq cm (d) 216 sq cm
  32. 32.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 169 sq cm (c) 144 sq cm (d) 48 sq cm
  33. 33.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 100 sq cm (c) 36 sq cm (d) 81 sq cm
  34. 34.A rectangle has an area of 24 sq cm and a length of 8 cm. What is its width? (a) 3 cm (b) 6 cm (c) 4 cm (d) 16 cm
  35. 35.A rectangle has an area of 15 sq cm and a length of 5 cm. What is its width? (a) 4 cm (b) 6 cm (c) 3 cm (d) 10 cm
  36. 36.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 18 cm (c) 9 cm (d) 14 cm
  37. 37.A rectangle has an area of 51 sq cm and a length of 17 cm. What is its width? (a) 34 cm (b) 4 cm (c) 3 cm (d) 6 cm
  38. 38.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 28 sq cm (b) 11 sq cm (c) 35 sq cm (d) 22 sq cm
  39. 39.A rectangle is 9 cm long and 2 cm wide. What is its perimeter? (a) 18 cm (b) 20 cm (c) 11 cm (d) 22 cm
  40. 40.A rectangle has an area of 54 sq cm and a length of 18 cm. What is its width? (a) 36 cm (b) 6 cm (c) 4 cm (d) 3 cm

Answer key

  1. 34 cm
  2. 84 sq cm
  3. 12 cm
  4. 5 cm
  5. 32 cm
  6. 196 sq cm
  7. 42 cm
  8. 62 cm
  9. 45 sq cm
  10. 60 cm
  11. 76 sq cm
  12. 225 sq cm
  13. 136 sq cm
  14. 5 cm
  15. 30 sq cm
  16. 50 cm
  17. 7 cm
  18. 46 cm
  19. 40 sq cm
  20. 3 cm
  21. 44 cm
  22. 24 sq cm
  23. 35 sq cm
  24. 46 cm
  25. 12 cm
  26. 44 cm
  27. 10 cm
  28. 91 sq cm
  29. 70 sq cm
  30. 20 cm
  31. 198 sq cm
  32. 144 sq cm
  33. 81 sq cm
  34. 3 cm
  35. 3 cm
  36. 18 cm
  37. 3 cm
  38. 28 sq cm
  39. 22 cm
  40. 3 cm

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