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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 740 · 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 22 sq cm and a length of 11 cm. What is its width? (a) 4 cm (b) 11 cm (c) 2 cm (d) 3 cm
  2. 2.A rectangle is 9 cm long and 7 cm wide. What is its perimeter? (a) 25 cm (b) 32 cm (c) 63 cm (d) 16 cm
  3. 3.A rectangle has an area of 153 sq cm and a length of 17 cm. What is its width? (a) 10 cm (b) 9 cm (c) 18 cm (d) 136 cm
  4. 4.A rectangle is 15 cm long and 12 cm wide. What is its perimeter? (a) 42 cm (b) 180 cm (c) 27 cm (d) 54 cm
  5. 5.A rectangle has an area of 162 sq cm and a length of 18 cm. What is its width? (a) 144 cm (b) 10 cm (c) 9 cm (d) 18 cm
  6. 6.A rectangle is 17 cm long and 2 cm wide. What is its perimeter? (a) 34 cm (b) 36 cm (c) 38 cm (d) 19 cm
  7. 7.A rectangle is 11 cm long and 7 cm wide. What is its area? (a) 88 sq cm (b) 36 sq cm (c) 18 sq cm (d) 77 sq cm
  8. 8.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 169 sq cm (c) 24 sq cm (d) 144 sq cm
  9. 9.A rectangle has an area of 180 sq cm and a length of 20 cm. What is its width? (a) 9 cm (b) 18 cm (c) 160 cm (d) 10 cm
  10. 10.A rectangle has an area of 180 sq cm and a length of 15 cm. What is its width? (a) 165 cm (b) 12 cm (c) 13 cm (d) 24 cm
  11. 11.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 64 sq cm (c) 14 sq cm (d) 49 sq cm
  12. 12.A rectangle has an area of 192 sq cm and a length of 16 cm. What is its width? (a) 12 cm (b) 24 cm (c) 13 cm (d) 176 cm
  13. 13.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 30 sq cm (b) 20 sq cm (c) 24 sq cm (d) 10 sq cm
  14. 14.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 36 sq cm (c) 25 sq cm (d) 10 sq cm
  15. 15.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 35 cm (b) 24 cm (c) 12 cm (d) 19 cm
  16. 16.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 32 sq cm (c) 81 sq cm (d) 64 sq cm
  17. 17.A rectangle is 19 cm long and 3 cm wide. What is its area? (a) 22 sq cm (b) 44 sq cm (c) 57 sq cm (d) 76 sq cm
  18. 18.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 121 sq cm (c) 144 sq cm (d) 44 sq cm
  19. 19.A rectangle has an area of 39 sq cm and a length of 13 cm. What is its width? (a) 26 cm (b) 4 cm (c) 6 cm (d) 3 cm
  20. 20.A rectangle is 18 cm long and 12 cm wide. What is its perimeter? (a) 216 cm (b) 48 cm (c) 30 cm (d) 60 cm
  21. 21.A rectangle is 8 cm long and 6 cm wide. What is its perimeter? (a) 48 cm (b) 22 cm (c) 28 cm (d) 14 cm
  22. 22.A rectangle has an area of 28 sq cm and a length of 7 cm. What is its width? (a) 8 cm (b) 5 cm (c) 4 cm (d) 21 cm
  23. 23.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 36 sq cm (c) 24 sq cm (d) 12 sq cm
  24. 24.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 225 sq cm (c) 56 sq cm (d) 28 sq cm
  25. 25.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 12 cm (b) 16 cm (c) 8 cm (d) 14 cm
  26. 26.A rectangle is 8 cm long and 5 cm wide. What is its perimeter? (a) 21 cm (b) 26 cm (c) 40 cm (d) 13 cm
  27. 27.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 14 sq cm (b) 48 sq cm (c) 56 sq cm (d) 28 sq cm
  28. 28.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
  29. 29.A rectangle is 14 cm long and 5 cm wide. What is its area? (a) 19 sq cm (b) 84 sq cm (c) 38 sq cm (d) 70 sq cm
  30. 30.A rectangle has an area of 70 sq cm and a length of 14 cm. What is its width? (a) 6 cm (b) 10 cm (c) 56 cm (d) 5 cm
  31. 31.A rectangle is 18 cm long and 2 cm wide. What is its perimeter? (a) 36 cm (b) 38 cm (c) 40 cm (d) 20 cm
  32. 32.A rectangle is 15 cm long and 11 cm wide. What is its area? (a) 52 sq cm (b) 165 sq cm (c) 180 sq cm (d) 26 sq cm
  33. 33.A rectangle is 11 cm long and 3 cm wide. What is its area? (a) 28 sq cm (b) 33 sq cm (c) 14 sq cm (d) 44 sq cm
  34. 34.A rectangle has an area of 27 sq cm and a length of 9 cm. What is its width? (a) 18 cm (b) 4 cm (c) 3 cm (d) 6 cm
  35. 35.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 36 sq cm (b) 22 sq cm (c) 11 sq cm (d) 30 sq cm
  36. 36.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 24 cm (b) 20 cm (c) 10 cm (d) 16 cm
  37. 37.A rectangle is 16 cm long and 7 cm wide. What is its area? (a) 23 sq cm (b) 112 sq cm (c) 128 sq cm (d) 46 sq cm
  38. 38.A rectangle is 20 cm long and 6 cm wide. What is its area? (a) 26 sq cm (b) 140 sq cm (c) 52 sq cm (d) 120 sq cm
  39. 39.A rectangle has an area of 200 sq cm and a length of 20 cm. What is its width? (a) 11 cm (b) 180 cm (c) 10 cm (d) 20 cm
  40. 40.A rectangle is 15 cm long and 9 cm wide. What is its perimeter? (a) 135 cm (b) 24 cm (c) 48 cm (d) 39 cm

Answer key

  1. 2 cm
  2. 32 cm
  3. 9 cm
  4. 54 cm
  5. 9 cm
  6. 38 cm
  7. 77 sq cm
  8. 144 sq cm
  9. 9 cm
  10. 12 cm
  11. 49 sq cm
  12. 12 cm
  13. 24 sq cm
  14. 25 sq cm
  15. 24 cm
  16. 64 sq cm
  17. 57 sq cm
  18. 121 sq cm
  19. 3 cm
  20. 60 cm
  21. 28 cm
  22. 4 cm
  23. 36 sq cm
  24. 196 sq cm
  25. 16 cm
  26. 26 cm
  27. 48 sq cm
  28. 12 sq cm
  29. 70 sq cm
  30. 5 cm
  31. 40 cm
  32. 165 sq cm
  33. 33 sq cm
  34. 3 cm
  35. 30 sq cm
  36. 20 cm
  37. 112 sq cm
  38. 120 sq cm
  39. 10 cm
  40. 48 cm

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