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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 836 · 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 84 sq cm and a length of 14 cm. What is its width? (a) 12 cm (b) 6 cm (c) 7 cm (d) 70 cm
  2. 2.A rectangle is 11 cm long and 4 cm wide. What is its area? (a) 15 sq cm (b) 44 sq cm (c) 55 sq cm (d) 30 sq cm
  3. 3.A rectangle is 15 cm long and 11 cm wide. What is its area? (a) 180 sq cm (b) 26 sq cm (c) 52 sq cm (d) 165 sq cm
  4. 4.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 24 sq cm (b) 12 sq cm (c) 32 sq cm (d) 40 sq cm
  5. 5.A rectangle has an area of 42 sq cm and a length of 14 cm. What is its width? (a) 4 cm (b) 3 cm (c) 28 cm (d) 6 cm
  6. 6.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 36 sq cm (c) 81 sq cm (d) 100 sq cm
  7. 7.A rectangle has an area of 90 sq cm and a length of 10 cm. What is its width? (a) 18 cm (b) 80 cm (c) 9 cm (d) 10 cm
  8. 8.A rectangle is 12 cm long and 10 cm wide. What is its perimeter? (a) 120 cm (b) 34 cm (c) 22 cm (d) 44 cm
  9. 9.A rectangle is 13 cm long and 8 cm wide. What is its perimeter? (a) 21 cm (b) 104 cm (c) 34 cm (d) 42 cm
  10. 10.A square has a perimeter of 48 cm. What is its area? (a) 144 sq cm (b) 169 sq cm (c) 48 sq cm (d) 24 sq cm
  11. 11.A rectangle has an area of 180 sq cm and a length of 18 cm. What is its width? (a) 20 cm (b) 11 cm (c) 162 cm (d) 10 cm
  12. 12.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 22 sq cm (b) 27 sq cm (c) 11 sq cm (d) 18 sq cm
  13. 13.A rectangle is 17 cm long and 3 cm wide. What is its area? (a) 51 sq cm (b) 20 sq cm (c) 40 sq cm (d) 68 sq cm
  14. 14.A rectangle is 16 cm long and 11 cm wide. What is its perimeter? (a) 54 cm (b) 176 cm (c) 43 cm (d) 27 cm
  15. 15.A rectangle has an area of 63 sq cm and a length of 9 cm. What is its width? (a) 14 cm (b) 7 cm (c) 8 cm (d) 54 cm
  16. 16.A rectangle has an area of 240 sq cm and a length of 20 cm. What is its width? (a) 13 cm (b) 24 cm (c) 220 cm (d) 12 cm
  17. 17.A rectangle has an area of 114 sq cm and a length of 19 cm. What is its width? (a) 95 cm (b) 7 cm (c) 12 cm (d) 6 cm
  18. 18.A rectangle has an area of 126 sq cm and a length of 18 cm. What is its width? (a) 14 cm (b) 108 cm (c) 8 cm (d) 7 cm
  19. 19.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 36 sq cm (b) 12 sq cm (c) 24 sq cm (d) 27 sq cm
  20. 20.A rectangle has an area of 88 sq cm and a length of 11 cm. What is its width? (a) 8 cm (b) 16 cm (c) 9 cm (d) 77 cm
  21. 21.A rectangle has an area of 72 sq cm and a length of 18 cm. What is its width? (a) 54 cm (b) 5 cm (c) 4 cm (d) 8 cm
  22. 22.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 9 sq cm (b) 18 sq cm (c) 21 sq cm (d) 14 sq cm
  23. 23.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 22 sq cm (b) 32 sq cm (c) 24 sq cm (d) 11 sq cm
  24. 24.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 22 cm (b) 19 cm (c) 24 cm (d) 11 cm
  25. 25.A rectangle has an area of 209 sq cm and a length of 19 cm. What is its width? (a) 22 cm (b) 190 cm (c) 12 cm (d) 11 cm
  26. 26.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 13 sq cm (b) 36 sq cm (c) 45 sq cm (d) 26 sq cm
  27. 27.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 100 sq cm (c) 40 sq cm (d) 121 sq cm
  28. 28.A rectangle is 17 cm long and 5 cm wide. What is its area? (a) 102 sq cm (b) 44 sq cm (c) 85 sq cm (d) 22 sq cm
  29. 29.A rectangle has an area of 56 sq cm and a length of 14 cm. What is its width? (a) 8 cm (b) 42 cm (c) 5 cm (d) 4 cm
  30. 30.A rectangle has an area of 152 sq cm and a length of 19 cm. What is its width? (a) 8 cm (b) 16 cm (c) 133 cm (d) 9 cm
  31. 31.A rectangle is 9 cm long and 6 cm wide. What is its area? (a) 30 sq cm (b) 63 sq cm (c) 54 sq cm (d) 15 sq cm
  32. 32.A rectangle is 20 cm long and 4 cm wide. What is its area? (a) 100 sq cm (b) 24 sq cm (c) 48 sq cm (d) 80 sq cm
  33. 33.A rectangle is 18 cm long and 8 cm wide. What is its perimeter? (a) 44 cm (b) 52 cm (c) 144 cm (d) 26 cm
  34. 34.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 14 cm (b) 18 cm (c) 16 cm (d) 9 cm
  35. 35.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 16 sq cm (c) 81 sq cm (d) 64 sq cm
  36. 36.A rectangle is 11 cm long and 2 cm wide. What is its perimeter? (a) 22 cm (b) 26 cm (c) 13 cm (d) 24 cm
  37. 37.A rectangle is 11 cm long and 5 cm wide. What is its perimeter? (a) 27 cm (b) 32 cm (c) 55 cm (d) 16 cm
  38. 38.A rectangle is 10 cm long and 7 cm wide. What is its perimeter? (a) 27 cm (b) 17 cm (c) 70 cm (d) 34 cm
  39. 39.A rectangle is 12 cm long and 5 cm wide. What is its area? (a) 72 sq cm (b) 60 sq cm (c) 34 sq cm (d) 17 sq cm
  40. 40.A rectangle has an area of 80 sq cm and a length of 16 cm. What is its width? (a) 10 cm (b) 6 cm (c) 64 cm (d) 5 cm

Answer key

  1. 6 cm
  2. 44 sq cm
  3. 165 sq cm
  4. 32 sq cm
  5. 3 cm
  6. 81 sq cm
  7. 9 cm
  8. 44 cm
  9. 42 cm
  10. 144 sq cm
  11. 10 cm
  12. 18 sq cm
  13. 51 sq cm
  14. 54 cm
  15. 7 cm
  16. 12 cm
  17. 6 cm
  18. 7 cm
  19. 27 sq cm
  20. 8 cm
  21. 4 cm
  22. 14 sq cm
  23. 24 sq cm
  24. 22 cm
  25. 11 cm
  26. 36 sq cm
  27. 100 sq cm
  28. 85 sq cm
  29. 4 cm
  30. 8 cm
  31. 54 sq cm
  32. 80 sq cm
  33. 52 cm
  34. 18 cm
  35. 64 sq cm
  36. 26 cm
  37. 32 cm
  38. 34 cm
  39. 60 sq cm
  40. 5 cm

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