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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 180 · 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 132 sq cm and a length of 12 cm. What is its width? (a) 11 cm (b) 12 cm (c) 22 cm (d) 120 cm
  2. 2.A rectangle is 16 cm long and 6 cm wide. What is its area? (a) 22 sq cm (b) 44 sq cm (c) 112 sq cm (d) 96 sq cm
  3. 3.A rectangle has an area of 28 sq cm and a length of 14 cm. What is its width? (a) 2 cm (b) 3 cm (c) 14 cm (d) 4 cm
  4. 4.A rectangle is 20 cm long and 9 cm wide. What is its perimeter? (a) 29 cm (b) 49 cm (c) 180 cm (d) 58 cm
  5. 5.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
  6. 6.A rectangle is 11 cm long and 4 cm wide. What is its area? (a) 44 sq cm (b) 30 sq cm (c) 15 sq cm (d) 55 sq cm
  7. 7.A rectangle has an area of 10 sq cm and a length of 5 cm. What is its width? (a) 4 cm (b) 2 cm (c) 5 cm (d) 3 cm
  8. 8.A rectangle has an area of 180 sq cm and a length of 20 cm. What is its width? (a) 18 cm (b) 9 cm (c) 160 cm (d) 10 cm
  9. 9.A rectangle has an area of 28 sq cm and a length of 7 cm. What is its width? (a) 4 cm (b) 21 cm (c) 8 cm (d) 5 cm
  10. 10.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 100 sq cm (c) 18 sq cm (d) 81 sq cm
  11. 11.A rectangle is 11 cm long and 7 cm wide. What is its perimeter? (a) 18 cm (b) 29 cm (c) 36 cm (d) 77 cm
  12. 12.A rectangle is 16 cm long and 5 cm wide. What is its area? (a) 80 sq cm (b) 96 sq cm (c) 42 sq cm (d) 21 sq cm
  13. 13.A rectangle is 10 cm long and 5 cm wide. What is its perimeter? (a) 25 cm (b) 15 cm (c) 30 cm (d) 50 cm
  14. 14.A rectangle has an area of 171 sq cm and a length of 19 cm. What is its width? (a) 10 cm (b) 18 cm (c) 9 cm (d) 152 cm
  15. 15.A rectangle has an area of 240 sq cm and a length of 20 cm. What is its width? (a) 24 cm (b) 12 cm (c) 220 cm (d) 13 cm
  16. 16.A square has a perimeter of 24 cm. What is its area? (a) 36 sq cm (b) 49 sq cm (c) 24 sq cm (d) 12 sq cm
  17. 17.A rectangle has an area of 18 sq cm and a length of 6 cm. What is its width? (a) 6 cm (b) 3 cm (c) 12 cm (d) 4 cm
  18. 18.A rectangle is 14 cm long and 12 cm wide. What is its perimeter? (a) 26 cm (b) 52 cm (c) 40 cm (d) 168 cm
  19. 19.A rectangle is 16 cm long and 7 cm wide. What is its perimeter? (a) 39 cm (b) 112 cm (c) 46 cm (d) 23 cm
  20. 20.A rectangle is 12 cm long and 10 cm wide. What is its area? (a) 120 sq cm (b) 22 sq cm (c) 44 sq cm (d) 132 sq cm
  21. 21.A rectangle has an area of 22 sq cm and a length of 11 cm. What is its width? (a) 11 cm (b) 4 cm (c) 3 cm (d) 2 cm
  22. 22.A rectangle is 20 cm long and 9 cm wide. What is its area? (a) 180 sq cm (b) 58 sq cm (c) 29 sq cm (d) 200 sq cm
  23. 23.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 121 sq cm (c) 144 sq cm (d) 22 sq cm
  24. 24.A rectangle is 16 cm long and 4 cm wide. What is its area? (a) 20 sq cm (b) 64 sq cm (c) 40 sq cm (d) 80 sq cm
  25. 25.A rectangle is 19 cm long and 6 cm wide. What is its area? (a) 50 sq cm (b) 114 sq cm (c) 25 sq cm (d) 133 sq cm
  26. 26.A rectangle is 16 cm long and 7 cm wide. What is its area? (a) 112 sq cm (b) 23 sq cm (c) 128 sq cm (d) 46 sq cm
  27. 27.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 48 sq cm (c) 24 sq cm (d) 144 sq cm
  28. 28.A rectangle has an area of 52 sq cm and a length of 13 cm. What is its width? (a) 39 cm (b) 8 cm (c) 4 cm (d) 5 cm
  29. 29.A rectangle is 19 cm long and 4 cm wide. What is its perimeter? (a) 23 cm (b) 46 cm (c) 42 cm (d) 76 cm
  30. 30.A rectangle has an area of 140 sq cm and a length of 20 cm. What is its width? (a) 14 cm (b) 7 cm (c) 8 cm (d) 120 cm
  31. 31.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 20 sq cm (b) 24 sq cm (c) 10 sq cm (d) 30 sq cm
  32. 32.A rectangle is 8 cm long and 5 cm wide. What is its area? (a) 40 sq cm (b) 48 sq cm (c) 26 sq cm (d) 13 sq cm
  33. 33.A rectangle is 20 cm long and 11 cm wide. What is its perimeter? (a) 51 cm (b) 62 cm (c) 31 cm (d) 220 cm
  34. 34.A rectangle has an area of 176 sq cm and a length of 16 cm. What is its width? (a) 12 cm (b) 160 cm (c) 11 cm (d) 22 cm
  35. 35.A rectangle is 16 cm long and 6 cm wide. What is its perimeter? (a) 38 cm (b) 44 cm (c) 96 cm (d) 22 cm
  36. 36.A rectangle has an area of 66 sq cm and a length of 11 cm. What is its width? (a) 7 cm (b) 6 cm (c) 55 cm (d) 12 cm
  37. 37.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 30 cm (b) 17 cm (c) 22 cm (d) 11 cm
  38. 38.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 25 sq cm (c) 36 sq cm (d) 20 sq cm
  39. 39.A rectangle is 17 cm long and 5 cm wide. What is its perimeter? (a) 22 cm (b) 44 cm (c) 85 cm (d) 39 cm
  40. 40.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

Answer key

  1. 11 cm
  2. 96 sq cm
  3. 2 cm
  4. 58 cm
  5. 49 sq cm
  6. 44 sq cm
  7. 2 cm
  8. 9 cm
  9. 4 cm
  10. 81 sq cm
  11. 36 cm
  12. 80 sq cm
  13. 30 cm
  14. 9 cm
  15. 12 cm
  16. 36 sq cm
  17. 3 cm
  18. 52 cm
  19. 46 cm
  20. 120 sq cm
  21. 2 cm
  22. 180 sq cm
  23. 121 sq cm
  24. 64 sq cm
  25. 114 sq cm
  26. 112 sq cm
  27. 144 sq cm
  28. 4 cm
  29. 46 cm
  30. 7 cm
  31. 24 sq cm
  32. 40 sq cm
  33. 62 cm
  34. 11 cm
  35. 44 cm
  36. 6 cm
  37. 22 cm
  38. 25 sq cm
  39. 44 cm
  40. 40 sq cm

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