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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 223 · 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 20 cm long and 5 cm wide. What is its area? (a) 100 sq cm (b) 25 sq cm (c) 120 sq cm (d) 50 sq cm
  2. 2.A square has a perimeter of 40 cm. What is its area? (a) 100 sq cm (b) 20 sq cm (c) 121 sq cm (d) 40 sq cm
  3. 3.A rectangle has an area of 65 sq cm and a length of 13 cm. What is its width? (a) 10 cm (b) 52 cm (c) 6 cm (d) 5 cm
  4. 4.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 9 sq cm (c) 21 sq cm (d) 14 sq cm
  5. 5.A rectangle is 15 cm long and 10 cm wide. What is its perimeter? (a) 150 cm (b) 40 cm (c) 25 cm (d) 50 cm
  6. 6.A rectangle is 19 cm long and 10 cm wide. What is its area? (a) 29 sq cm (b) 209 sq cm (c) 58 sq cm (d) 190 sq cm
  7. 7.A square has a perimeter of 44 cm. What is its area? (a) 121 sq cm (b) 44 sq cm (c) 144 sq cm (d) 22 sq cm
  8. 8.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
  9. 9.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 26 cm (b) 13 cm (c) 20 cm (d) 42 cm
  10. 10.A rectangle has an area of 132 sq cm and a length of 12 cm. What is its width? (a) 11 cm (b) 22 cm (c) 12 cm (d) 120 cm
  11. 11.A rectangle has an area of 14 sq cm and a length of 7 cm. What is its width? (a) 7 cm (b) 3 cm (c) 4 cm (d) 2 cm
  12. 12.A rectangle is 20 cm long and 9 cm wide. What is its area? (a) 200 sq cm (b) 180 sq cm (c) 29 sq cm (d) 58 sq cm
  13. 13.A rectangle is 14 cm long and 6 cm wide. What is its area? (a) 98 sq cm (b) 84 sq cm (c) 40 sq cm (d) 20 sq cm
  14. 14.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 24 sq cm (b) 40 sq cm (c) 32 sq cm (d) 12 sq cm
  15. 15.A rectangle has an area of 150 sq cm and a length of 15 cm. What is its width? (a) 20 cm (b) 11 cm (c) 10 cm (d) 135 cm
  16. 16.A rectangle is 14 cm long and 9 cm wide. What is its area? (a) 126 sq cm (b) 46 sq cm (c) 23 sq cm (d) 140 sq cm
  17. 17.A rectangle has an area of 76 sq cm and a length of 19 cm. What is its width? (a) 4 cm (b) 57 cm (c) 5 cm (d) 8 cm
  18. 18.A rectangle is 17 cm long and 6 cm wide. What is its area? (a) 102 sq cm (b) 46 sq cm (c) 23 sq cm (d) 119 sq cm
  19. 19.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
  20. 20.A rectangle is 11 cm long and 2 cm wide. What is its area? (a) 13 sq cm (b) 33 sq cm (c) 26 sq cm (d) 22 sq cm
  21. 21.A rectangle is 15 cm long and 12 cm wide. What is its area? (a) 180 sq cm (b) 27 sq cm (c) 54 sq cm (d) 195 sq cm
  22. 22.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 28 sq cm (c) 56 sq cm (d) 225 sq cm
  23. 23.A square has a perimeter of 48 cm. What is its area? (a) 144 sq cm (b) 24 sq cm (c) 48 sq cm (d) 169 sq cm
  24. 24.A rectangle is 12 cm long and 4 cm wide. What is its area? (a) 32 sq cm (b) 48 sq cm (c) 16 sq cm (d) 60 sq cm
  25. 25.A rectangle has an area of 77 sq cm and a length of 11 cm. What is its width? (a) 7 cm (b) 8 cm (c) 14 cm (d) 66 cm
  26. 26.A rectangle has an area of 133 sq cm and a length of 19 cm. What is its width? (a) 14 cm (b) 114 cm (c) 7 cm (d) 8 cm
  27. 27.A rectangle has an area of 180 sq cm and a length of 15 cm. What is its width? (a) 24 cm (b) 12 cm (c) 165 cm (d) 13 cm
  28. 28.A rectangle has an area of 28 sq cm and a length of 7 cm. What is its width? (a) 5 cm (b) 8 cm (c) 4 cm (d) 21 cm
  29. 29.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 10 sq cm (c) 25 sq cm (d) 20 sq cm
  30. 30.A rectangle is 13 cm long and 3 cm wide. What is its perimeter? (a) 29 cm (b) 39 cm (c) 32 cm (d) 16 cm
  31. 31.A rectangle is 18 cm long and 5 cm wide. What is its perimeter? (a) 23 cm (b) 46 cm (c) 90 cm (d) 41 cm
  32. 32.A rectangle is 20 cm long and 7 cm wide. What is its perimeter? (a) 27 cm (b) 47 cm (c) 54 cm (d) 140 cm
  33. 33.A rectangle is 18 cm long and 9 cm wide. What is its perimeter? (a) 45 cm (b) 27 cm (c) 54 cm (d) 162 cm
  34. 34.A rectangle is 10 cm long and 8 cm wide. What is its perimeter? (a) 18 cm (b) 28 cm (c) 80 cm (d) 36 cm
  35. 35.A rectangle is 16 cm long and 12 cm wide. What is its perimeter? (a) 44 cm (b) 28 cm (c) 192 cm (d) 56 cm
  36. 36.A rectangle is 9 cm long and 6 cm wide. What is its perimeter? (a) 15 cm (b) 24 cm (c) 30 cm (d) 54 cm
  37. 37.A rectangle is 13 cm long and 4 cm wide. What is its perimeter? (a) 30 cm (b) 52 cm (c) 17 cm (d) 34 cm
  38. 38.A rectangle is 11 cm long and 5 cm wide. What is its area? (a) 66 sq cm (b) 55 sq cm (c) 32 sq cm (d) 16 sq cm
  39. 39.A rectangle has an area of 12 sq cm and a length of 6 cm. What is its width? (a) 6 cm (b) 4 cm (c) 2 cm (d) 3 cm
  40. 40.A rectangle is 20 cm long and 4 cm wide. What is its area? (a) 80 sq cm (b) 24 sq cm (c) 100 sq cm (d) 48 sq cm

Answer key

  1. 100 sq cm
  2. 100 sq cm
  3. 5 cm
  4. 14 sq cm
  5. 50 cm
  6. 190 sq cm
  7. 121 sq cm
  8. 2 cm
  9. 26 cm
  10. 11 cm
  11. 2 cm
  12. 180 sq cm
  13. 84 sq cm
  14. 32 sq cm
  15. 10 cm
  16. 126 sq cm
  17. 4 cm
  18. 102 sq cm
  19. 36 sq cm
  20. 22 sq cm
  21. 180 sq cm
  22. 196 sq cm
  23. 144 sq cm
  24. 48 sq cm
  25. 7 cm
  26. 7 cm
  27. 12 cm
  28. 4 cm
  29. 25 sq cm
  30. 32 cm
  31. 46 cm
  32. 54 cm
  33. 54 cm
  34. 36 cm
  35. 56 cm
  36. 30 cm
  37. 34 cm
  38. 55 sq cm
  39. 2 cm
  40. 80 sq cm

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