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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 471 · 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 11 cm long and 9 cm wide. What is its perimeter? (a) 31 cm (b) 40 cm (c) 99 cm (d) 20 cm
  2. 2.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 30 sq cm (b) 24 sq cm (c) 10 sq cm (d) 20 sq cm
  3. 3.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
  4. 4.A rectangle is 11 cm long and 9 cm wide. What is its area? (a) 40 sq cm (b) 99 sq cm (c) 110 sq cm (d) 20 sq cm
  5. 5.A rectangle is 17 cm long and 3 cm wide. What is its perimeter? (a) 20 cm (b) 37 cm (c) 51 cm (d) 40 cm
  6. 6.A rectangle is 9 cm long and 8 cm wide. What is its perimeter? (a) 17 cm (b) 72 cm (c) 26 cm (d) 34 cm
  7. 7.A rectangle has an area of 48 sq cm and a length of 12 cm. What is its width? (a) 4 cm (b) 8 cm (c) 36 cm (d) 5 cm
  8. 8.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 49 sq cm (c) 12 sq cm (d) 36 sq cm
  9. 9.A rectangle is 20 cm long and 6 cm wide. What is its area? (a) 120 sq cm (b) 26 sq cm (c) 52 sq cm (d) 140 sq cm
  10. 10.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 12 cm (b) 14 cm (c) 8 cm (d) 16 cm
  11. 11.A square has a perimeter of 48 cm. What is its area? (a) 144 sq cm (b) 48 sq cm (c) 24 sq cm (d) 169 sq cm
  12. 12.A rectangle has an area of 180 sq cm and a length of 15 cm. What is its width? (a) 13 cm (b) 12 cm (c) 165 cm (d) 24 cm
  13. 13.A rectangle has an area of 150 sq cm and a length of 15 cm. What is its width? (a) 20 cm (b) 135 cm (c) 11 cm (d) 10 cm
  14. 14.A rectangle has an area of 28 sq cm and a length of 14 cm. What is its width? (a) 4 cm (b) 14 cm (c) 3 cm (d) 2 cm
  15. 15.A rectangle has an area of 126 sq cm and a length of 14 cm. What is its width? (a) 112 cm (b) 18 cm (c) 9 cm (d) 10 cm
  16. 16.A square has a perimeter of 28 cm. What is its area? (a) 49 sq cm (b) 64 sq cm (c) 28 sq cm (d) 14 sq cm
  17. 17.A rectangle is 18 cm long and 11 cm wide. What is its area? (a) 29 sq cm (b) 216 sq cm (c) 198 sq cm (d) 58 sq cm
  18. 18.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 144 sq cm (c) 121 sq cm (d) 22 sq cm
  19. 19.A rectangle has an area of 130 sq cm and a length of 13 cm. What is its width? (a) 20 cm (b) 11 cm (c) 117 cm (d) 10 cm
  20. 20.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 22 sq cm (b) 11 sq cm (c) 32 sq cm (d) 24 sq cm
  21. 21.A rectangle is 14 cm long and 8 cm wide. What is its area? (a) 126 sq cm (b) 112 sq cm (c) 44 sq cm (d) 22 sq cm
  22. 22.A rectangle is 11 cm long and 6 cm wide. What is its area? (a) 77 sq cm (b) 34 sq cm (c) 17 sq cm (d) 66 sq cm
  23. 23.A square has a perimeter of 52 cm. What is its area? (a) 169 sq cm (b) 52 sq cm (c) 196 sq cm (d) 26 sq cm
  24. 24.A rectangle is 19 cm long and 10 cm wide. What is its perimeter? (a) 190 cm (b) 29 cm (c) 58 cm (d) 48 cm
  25. 25.A rectangle has an area of 140 sq cm and a length of 14 cm. What is its width? (a) 10 cm (b) 20 cm (c) 11 cm (d) 126 cm
  26. 26.A rectangle is 20 cm long and 11 cm wide. What is its area? (a) 220 sq cm (b) 31 sq cm (c) 62 sq cm (d) 240 sq cm
  27. 27.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 25 sq cm (c) 20 sq cm (d) 10 sq cm
  28. 28.A rectangle is 15 cm long and 8 cm wide. What is its area? (a) 135 sq cm (b) 120 sq cm (c) 23 sq cm (d) 46 sq cm
  29. 29.A rectangle is 10 cm long and 8 cm wide. What is its perimeter? (a) 80 cm (b) 18 cm (c) 36 cm (d) 28 cm
  30. 30.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 64 sq cm (c) 81 sq cm (d) 16 sq cm
  31. 31.A rectangle is 16 cm long and 5 cm wide. What is its perimeter? (a) 21 cm (b) 37 cm (c) 80 cm (d) 42 cm
  32. 32.A rectangle is 14 cm long and 6 cm wide. What is its area? (a) 20 sq cm (b) 40 sq cm (c) 98 sq cm (d) 84 sq cm
  33. 33.A rectangle is 11 cm long and 7 cm wide. What is its area? (a) 36 sq cm (b) 77 sq cm (c) 88 sq cm (d) 18 sq cm
  34. 34.A rectangle is 9 cm long and 7 cm wide. What is its area? (a) 63 sq cm (b) 72 sq cm (c) 16 sq cm (d) 32 sq cm
  35. 35.A rectangle has an area of 187 sq cm and a length of 17 cm. What is its width? (a) 22 cm (b) 11 cm (c) 170 cm (d) 12 cm
  36. 36.A rectangle is 10 cm long and 2 cm wide. What is its perimeter? (a) 22 cm (b) 12 cm (c) 20 cm (d) 24 cm
  37. 37.A rectangle is 14 cm long and 5 cm wide. What is its perimeter? (a) 19 cm (b) 70 cm (c) 33 cm (d) 38 cm
  38. 38.A rectangle is 16 cm long and 9 cm wide. What is its perimeter? (a) 41 cm (b) 144 cm (c) 50 cm (d) 25 cm
  39. 39.A rectangle has an area of 117 sq cm and a length of 13 cm. What is its width? (a) 10 cm (b) 18 cm (c) 9 cm (d) 104 cm
  40. 40.A rectangle is 10 cm long and 2 cm wide. What is its area? (a) 30 sq cm (b) 20 sq cm (c) 12 sq cm (d) 24 sq cm

Answer key

  1. 40 cm
  2. 24 sq cm
  3. 100 sq cm
  4. 99 sq cm
  5. 40 cm
  6. 34 cm
  7. 4 cm
  8. 36 sq cm
  9. 120 sq cm
  10. 16 cm
  11. 144 sq cm
  12. 12 cm
  13. 10 cm
  14. 2 cm
  15. 9 cm
  16. 49 sq cm
  17. 198 sq cm
  18. 121 sq cm
  19. 10 cm
  20. 24 sq cm
  21. 112 sq cm
  22. 66 sq cm
  23. 169 sq cm
  24. 58 cm
  25. 10 cm
  26. 220 sq cm
  27. 25 sq cm
  28. 120 sq cm
  29. 36 cm
  30. 64 sq cm
  31. 42 cm
  32. 84 sq cm
  33. 77 sq cm
  34. 63 sq cm
  35. 11 cm
  36. 24 cm
  37. 38 cm
  38. 50 cm
  39. 9 cm
  40. 20 sq cm

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