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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 159 · 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 has an area of 8 sq cm and a length of 4 cm. What is its width? (a) 3 cm (b) 2 cm (c) 4 cm (d) 1 cm
  2. 2.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 36 sq cm (c) 49 sq cm (d) 24 sq cm
  3. 3.A rectangle has an area of 30 sq cm and a length of 6 cm. What is its width? (a) 24 cm (b) 6 cm (c) 5 cm (d) 10 cm
  4. 4.A rectangle has an area of 180 sq cm and a length of 18 cm. What is its width? (a) 162 cm (b) 11 cm (c) 20 cm (d) 10 cm
  5. 5.A rectangle is 14 cm long and 3 cm wide. What is its area? (a) 42 sq cm (b) 34 sq cm (c) 56 sq cm (d) 17 sq cm
  6. 6.A square has a perimeter of 52 cm. What is its area? (a) 169 sq cm (b) 26 sq cm (c) 52 sq cm (d) 196 sq cm
  7. 7.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 22 sq cm (b) 27 sq cm (c) 18 sq cm (d) 11 sq cm
  8. 8.A rectangle is 12 cm long and 5 cm wide. What is its perimeter? (a) 60 cm (b) 34 cm (c) 17 cm (d) 29 cm
  9. 9.A rectangle has an area of 72 sq cm and a length of 12 cm. What is its width? (a) 7 cm (b) 6 cm (c) 12 cm (d) 60 cm
  10. 10.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 36 sq cm (c) 100 sq cm (d) 81 sq cm
  11. 11.A rectangle is 20 cm long and 12 cm wide. What is its area? (a) 240 sq cm (b) 32 sq cm (c) 64 sq cm (d) 260 sq cm
  12. 12.A rectangle is 16 cm long and 9 cm wide. What is its area? (a) 50 sq cm (b) 160 sq cm (c) 25 sq cm (d) 144 sq cm
  13. 13.A rectangle is 19 cm long and 8 cm wide. What is its perimeter? (a) 46 cm (b) 27 cm (c) 152 cm (d) 54 cm
  14. 14.A rectangle is 17 cm long and 2 cm wide. What is its perimeter? (a) 19 cm (b) 34 cm (c) 36 cm (d) 38 cm
  15. 15.A rectangle has an area of 228 sq cm and a length of 19 cm. What is its width? (a) 12 cm (b) 24 cm (c) 209 cm (d) 13 cm
  16. 16.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 12 sq cm (b) 24 sq cm (c) 42 sq cm (d) 35 sq cm
  17. 17.A rectangle is 20 cm long and 3 cm wide. What is its area? (a) 80 sq cm (b) 60 sq cm (c) 23 sq cm (d) 46 sq cm
  18. 18.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
  19. 19.A rectangle is 12 cm long and 3 cm wide. What is its perimeter? (a) 30 cm (b) 27 cm (c) 15 cm (d) 36 cm
  20. 20.A rectangle is 14 cm long and 9 cm wide. What is its perimeter? (a) 23 cm (b) 46 cm (c) 126 cm (d) 37 cm
  21. 21.A rectangle is 10 cm long and 2 cm wide. What is its perimeter? (a) 12 cm (b) 24 cm (c) 20 cm (d) 22 cm
  22. 22.A rectangle has an area of 150 sq cm and a length of 15 cm. What is its width? (a) 20 cm (b) 135 cm (c) 11 cm (d) 10 cm
  23. 23.A rectangle is 17 cm long and 3 cm wide. What is its area? (a) 68 sq cm (b) 40 sq cm (c) 20 sq cm (d) 51 sq cm
  24. 24.A rectangle has an area of 160 sq cm and a length of 16 cm. What is its width? (a) 10 cm (b) 144 cm (c) 20 cm (d) 11 cm
  25. 25.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 14 sq cm (b) 54 sq cm (c) 28 sq cm (d) 45 sq cm
  26. 26.A rectangle has an area of 72 sq cm and a length of 9 cm. What is its width? (a) 16 cm (b) 9 cm (c) 63 cm (d) 8 cm
  27. 27.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 20 cm (b) 16 cm (c) 10 cm (d) 18 cm
  28. 28.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 64 sq cm (d) 49 sq cm
  29. 29.A rectangle is 20 cm long and 8 cm wide. What is its perimeter? (a) 48 cm (b) 160 cm (c) 56 cm (d) 28 cm
  30. 30.A rectangle has an area of 84 sq cm and a length of 14 cm. What is its width? (a) 70 cm (b) 7 cm (c) 12 cm (d) 6 cm
  31. 31.A rectangle has an area of 15 sq cm and a length of 5 cm. What is its width? (a) 6 cm (b) 10 cm (c) 4 cm (d) 3 cm
  32. 32.A rectangle has an area of 40 sq cm and a length of 8 cm. What is its width? (a) 32 cm (b) 6 cm (c) 10 cm (d) 5 cm
  33. 33.A rectangle is 20 cm long and 4 cm wide. What is its perimeter? (a) 80 cm (b) 44 cm (c) 24 cm (d) 48 cm
  34. 34.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 17 cm (b) 22 cm (c) 11 cm (d) 30 cm
  35. 35.A rectangle is 13 cm long and 5 cm wide. What is its perimeter? (a) 36 cm (b) 18 cm (c) 65 cm (d) 31 cm
  36. 36.A rectangle is 15 cm long and 5 cm wide. What is its area? (a) 90 sq cm (b) 75 sq cm (c) 20 sq cm (d) 40 sq cm
  37. 37.A square has a perimeter of 32 cm. What is its area? (a) 64 sq cm (b) 81 sq cm (c) 16 sq cm (d) 32 sq cm
  38. 38.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 8 sq cm (c) 12 sq cm (d) 18 sq cm
  39. 39.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 11 sq cm (b) 22 sq cm (c) 35 sq cm (d) 28 sq cm
  40. 40.A rectangle is 9 cm long and 4 cm wide. What is its perimeter? (a) 13 cm (b) 36 cm (c) 22 cm (d) 26 cm

Answer key

  1. 2 cm
  2. 36 sq cm
  3. 5 cm
  4. 10 cm
  5. 42 sq cm
  6. 169 sq cm
  7. 18 sq cm
  8. 34 cm
  9. 6 cm
  10. 81 sq cm
  11. 240 sq cm
  12. 144 sq cm
  13. 54 cm
  14. 38 cm
  15. 12 cm
  16. 35 sq cm
  17. 60 sq cm
  18. 5 cm
  19. 30 cm
  20. 46 cm
  21. 24 cm
  22. 10 cm
  23. 51 sq cm
  24. 10 cm
  25. 45 sq cm
  26. 8 cm
  27. 20 cm
  28. 49 sq cm
  29. 56 cm
  30. 6 cm
  31. 3 cm
  32. 5 cm
  33. 48 cm
  34. 22 cm
  35. 36 cm
  36. 75 sq cm
  37. 64 sq cm
  38. 12 sq cm
  39. 28 sq cm
  40. 26 cm

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