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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 239 · 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 16 cm long and 10 cm wide. What is its perimeter? (a) 26 cm (b) 42 cm (c) 52 cm (d) 160 cm
  2. 2.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 14 sq cm (b) 56 sq cm (c) 28 sq cm (d) 48 sq cm
  3. 3.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 24 sq cm (c) 36 sq cm (d) 49 sq cm
  4. 4.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 36 sq cm (c) 25 sq cm (d) 20 sq cm
  5. 5.A rectangle is 18 cm long and 12 cm wide. What is its perimeter? (a) 216 cm (b) 30 cm (c) 48 cm (d) 60 cm
  6. 6.A rectangle is 9 cm long and 8 cm wide. What is its perimeter? (a) 17 cm (b) 72 cm (c) 34 cm (d) 26 cm
  7. 7.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 121 sq cm (c) 40 sq cm (d) 100 sq cm
  8. 8.A rectangle is 20 cm long and 4 cm wide. What is its area? (a) 48 sq cm (b) 100 sq cm (c) 24 sq cm (d) 80 sq cm
  9. 9.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
  10. 10.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 9 cm (b) 18 cm (c) 15 cm (d) 19 cm
  11. 11.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 54 sq cm (d) 45 sq cm
  12. 12.A rectangle is 10 cm long and 3 cm wide. What is its area? (a) 40 sq cm (b) 30 sq cm (c) 13 sq cm (d) 26 sq cm
  13. 13.A rectangle has an area of 28 sq cm and a length of 14 cm. What is its width? (a) 3 cm (b) 14 cm (c) 4 cm (d) 2 cm
  14. 14.A rectangle is 11 cm long and 5 cm wide. What is its area? (a) 32 sq cm (b) 16 sq cm (c) 66 sq cm (d) 55 sq cm
  15. 15.A rectangle has an area of 144 sq cm and a length of 16 cm. What is its width? (a) 10 cm (b) 128 cm (c) 9 cm (d) 18 cm
  16. 16.A rectangle is 13 cm long and 8 cm wide. What is its perimeter? (a) 34 cm (b) 104 cm (c) 42 cm (d) 21 cm
  17. 17.A rectangle has an area of 20 sq cm and a length of 10 cm. What is its width? (a) 3 cm (b) 10 cm (c) 4 cm (d) 2 cm
  18. 18.A rectangle is 12 cm long and 2 cm wide. What is its area? (a) 14 sq cm (b) 24 sq cm (c) 28 sq cm (d) 36 sq cm
  19. 19.A rectangle has an area of 10 sq cm and a length of 5 cm. What is its width? (a) 5 cm (b) 4 cm (c) 3 cm (d) 2 cm
  20. 20.A rectangle is 13 cm long and 12 cm wide. What is its perimeter? (a) 156 cm (b) 50 cm (c) 38 cm (d) 25 cm
  21. 21.A rectangle is 10 cm long and 3 cm wide. What is its perimeter? (a) 26 cm (b) 13 cm (c) 30 cm (d) 23 cm
  22. 22.A rectangle is 10 cm long and 2 cm wide. What is its perimeter? (a) 24 cm (b) 12 cm (c) 22 cm (d) 20 cm
  23. 23.A rectangle is 19 cm long and 7 cm wide. What is its perimeter? (a) 26 cm (b) 52 cm (c) 133 cm (d) 45 cm
  24. 24.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 28 sq cm (c) 49 sq cm (d) 64 sq cm
  25. 25.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 144 sq cm (c) 121 sq cm (d) 44 sq cm
  26. 26.A rectangle has an area of 120 sq cm and a length of 20 cm. What is its width? (a) 7 cm (b) 100 cm (c) 12 cm (d) 6 cm
  27. 27.A rectangle is 9 cm long and 4 cm wide. What is its perimeter? (a) 36 cm (b) 26 cm (c) 22 cm (d) 13 cm
  28. 28.A rectangle is 15 cm long and 4 cm wide. What is its area? (a) 75 sq cm (b) 38 sq cm (c) 60 sq cm (d) 19 sq cm
  29. 29.A rectangle is 15 cm long and 4 cm wide. What is its perimeter? (a) 19 cm (b) 60 cm (c) 38 cm (d) 34 cm
  30. 30.A rectangle is 19 cm long and 3 cm wide. What is its area? (a) 44 sq cm (b) 76 sq cm (c) 22 sq cm (d) 57 sq cm
  31. 31.A rectangle has an area of 180 sq cm and a length of 18 cm. What is its width? (a) 162 cm (b) 20 cm (c) 10 cm (d) 11 cm
  32. 32.A rectangle has an area of 77 sq cm and a length of 11 cm. What is its width? (a) 14 cm (b) 8 cm (c) 66 cm (d) 7 cm
  33. 33.A rectangle is 8 cm long and 5 cm wide. What is its area? (a) 48 sq cm (b) 26 sq cm (c) 40 sq cm (d) 13 sq cm
  34. 34.A rectangle is 11 cm long and 7 cm wide. What is its perimeter? (a) 18 cm (b) 29 cm (c) 77 cm (d) 36 cm
  35. 35.A rectangle is 13 cm long and 4 cm wide. What is its perimeter? (a) 17 cm (b) 30 cm (c) 52 cm (d) 34 cm
  36. 36.A rectangle is 11 cm long and 10 cm wide. What is its area? (a) 21 sq cm (b) 110 sq cm (c) 42 sq cm (d) 121 sq cm
  37. 37.A rectangle is 14 cm long and 9 cm wide. What is its area? (a) 23 sq cm (b) 140 sq cm (c) 126 sq cm (d) 46 sq cm
  38. 38.A rectangle is 17 cm long and 9 cm wide. What is its area? (a) 52 sq cm (b) 153 sq cm (c) 170 sq cm (d) 26 sq cm
  39. 39.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
  40. 40.A rectangle has an area of 35 sq cm and a length of 7 cm. What is its width? (a) 10 cm (b) 6 cm (c) 5 cm (d) 28 cm

Answer key

  1. 52 cm
  2. 48 sq cm
  3. 36 sq cm
  4. 25 sq cm
  5. 60 cm
  6. 34 cm
  7. 100 sq cm
  8. 80 sq cm
  9. 81 sq cm
  10. 18 cm
  11. 45 sq cm
  12. 30 sq cm
  13. 2 cm
  14. 55 sq cm
  15. 9 cm
  16. 42 cm
  17. 2 cm
  18. 24 sq cm
  19. 2 cm
  20. 50 cm
  21. 26 cm
  22. 24 cm
  23. 52 cm
  24. 49 sq cm
  25. 121 sq cm
  26. 6 cm
  27. 26 cm
  28. 60 sq cm
  29. 38 cm
  30. 57 sq cm
  31. 10 cm
  32. 7 cm
  33. 40 sq cm
  34. 36 cm
  35. 34 cm
  36. 110 sq cm
  37. 126 sq cm
  38. 153 sq cm
  39. 144 sq cm
  40. 5 cm

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