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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 191 · 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 17 cm long and 3 cm wide. What is its area? (a) 68 sq cm (b) 51 sq cm (c) 40 sq cm (d) 20 sq cm
  2. 2.A rectangle is 12 cm long and 3 cm wide. What is its perimeter? (a) 36 cm (b) 30 cm (c) 15 cm (d) 27 cm
  3. 3.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 30 sq cm (b) 36 sq cm (c) 22 sq cm (d) 11 sq cm
  4. 4.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
  5. 5.A rectangle has an area of 35 sq cm and a length of 7 cm. What is its width? (a) 10 cm (b) 28 cm (c) 5 cm (d) 6 cm
  6. 6.A rectangle is 18 cm long and 5 cm wide. What is its perimeter? (a) 90 cm (b) 41 cm (c) 23 cm (d) 46 cm
  7. 7.A rectangle is 18 cm long and 10 cm wide. What is its perimeter? (a) 46 cm (b) 28 cm (c) 180 cm (d) 56 cm
  8. 8.A square has a perimeter of 52 cm. What is its area? (a) 169 sq cm (b) 26 sq cm (c) 52 sq cm (d) 196 sq cm
  9. 9.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
  10. 10.A rectangle is 14 cm long and 9 cm wide. What is its area? (a) 46 sq cm (b) 126 sq cm (c) 23 sq cm (d) 140 sq cm
  11. 11.A square has a perimeter of 28 cm. What is its area? (a) 49 sq cm (b) 64 sq cm (c) 14 sq cm (d) 28 sq cm
  12. 12.A rectangle has an area of 60 sq cm and a length of 15 cm. What is its width? (a) 5 cm (b) 4 cm (c) 45 cm (d) 8 cm
  13. 13.A rectangle is 16 cm long and 2 cm wide. What is its area? (a) 32 sq cm (b) 48 sq cm (c) 18 sq cm (d) 36 sq cm
  14. 14.A rectangle is 20 cm long and 2 cm wide. What is its area? (a) 22 sq cm (b) 60 sq cm (c) 44 sq cm (d) 40 sq cm
  15. 15.A rectangle is 15 cm long and 3 cm wide. What is its area? (a) 45 sq cm (b) 60 sq cm (c) 18 sq cm (d) 36 sq cm
  16. 16.A rectangle has an area of 45 sq cm and a length of 15 cm. What is its width? (a) 3 cm (b) 4 cm (c) 6 cm (d) 30 cm
  17. 17.A rectangle is 11 cm long and 2 cm wide. What is its perimeter? (a) 24 cm (b) 13 cm (c) 22 cm (d) 26 cm
  18. 18.A rectangle has an area of 160 sq cm and a length of 20 cm. What is its width? (a) 140 cm (b) 8 cm (c) 16 cm (d) 9 cm
  19. 19.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 20 sq cm (c) 36 sq cm (d) 25 sq cm
  20. 20.A rectangle is 20 cm long and 3 cm wide. What is its area? (a) 23 sq cm (b) 80 sq cm (c) 60 sq cm (d) 46 sq cm
  21. 21.A rectangle has an area of 20 sq cm and a length of 5 cm. What is its width? (a) 8 cm (b) 4 cm (c) 15 cm (d) 5 cm
  22. 22.A rectangle has an area of 22 sq cm and a length of 11 cm. What is its width? (a) 11 cm (b) 3 cm (c) 4 cm (d) 2 cm
  23. 23.A rectangle is 11 cm long and 4 cm wide. What is its area? (a) 44 sq cm (b) 15 sq cm (c) 55 sq cm (d) 30 sq cm
  24. 24.A rectangle has an area of 117 sq cm and a length of 13 cm. What is its width? (a) 9 cm (b) 104 cm (c) 18 cm (d) 10 cm
  25. 25.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 10 cm (b) 24 cm (c) 16 cm (d) 20 cm
  26. 26.A rectangle is 17 cm long and 12 cm wide. What is its area? (a) 29 sq cm (b) 204 sq cm (c) 58 sq cm (d) 221 sq cm
  27. 27.A rectangle is 15 cm long and 10 cm wide. What is its area? (a) 150 sq cm (b) 25 sq cm (c) 50 sq cm (d) 165 sq cm
  28. 28.A rectangle is 14 cm long and 7 cm wide. What is its area? (a) 21 sq cm (b) 112 sq cm (c) 42 sq cm (d) 98 sq cm
  29. 29.A rectangle is 16 cm long and 12 cm wide. What is its perimeter? (a) 28 cm (b) 44 cm (c) 56 cm (d) 192 cm
  30. 30.A rectangle has an area of 28 sq cm and a length of 7 cm. What is its width? (a) 8 cm (b) 21 cm (c) 5 cm (d) 4 cm
  31. 31.A rectangle is 11 cm long and 10 cm wide. What is its area? (a) 42 sq cm (b) 21 sq cm (c) 110 sq cm (d) 121 sq cm
  32. 32.A rectangle is 15 cm long and 8 cm wide. What is its perimeter? (a) 38 cm (b) 120 cm (c) 23 cm (d) 46 cm
  33. 33.A rectangle has an area of 48 sq cm and a length of 16 cm. What is its width? (a) 32 cm (b) 6 cm (c) 4 cm (d) 3 cm
  34. 34.A rectangle is 17 cm long and 7 cm wide. What is its area? (a) 48 sq cm (b) 119 sq cm (c) 24 sq cm (d) 136 sq cm
  35. 35.A rectangle is 9 cm long and 6 cm wide. What is its perimeter? (a) 54 cm (b) 15 cm (c) 30 cm (d) 24 cm
  36. 36.A rectangle is 20 cm long and 7 cm wide. What is its perimeter? (a) 27 cm (b) 54 cm (c) 47 cm (d) 140 cm
  37. 37.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 56 sq cm (d) 48 sq cm
  38. 38.A rectangle is 10 cm long and 7 cm wide. What is its area? (a) 80 sq cm (b) 34 sq cm (c) 70 sq cm (d) 17 sq cm
  39. 39.A square has a perimeter of 60 cm. What is its area? (a) 225 sq cm (b) 256 sq cm (c) 30 sq cm (d) 60 sq cm
  40. 40.A rectangle is 19 cm long and 9 cm wide. What is its perimeter? (a) 171 cm (b) 47 cm (c) 56 cm (d) 28 cm

Answer key

  1. 51 sq cm
  2. 30 cm
  3. 30 sq cm
  4. 100 sq cm
  5. 5 cm
  6. 46 cm
  7. 56 cm
  8. 169 sq cm
  9. 2 cm
  10. 126 sq cm
  11. 49 sq cm
  12. 4 cm
  13. 32 sq cm
  14. 40 sq cm
  15. 45 sq cm
  16. 3 cm
  17. 26 cm
  18. 8 cm
  19. 25 sq cm
  20. 60 sq cm
  21. 4 cm
  22. 2 cm
  23. 44 sq cm
  24. 9 cm
  25. 20 cm
  26. 204 sq cm
  27. 150 sq cm
  28. 98 sq cm
  29. 56 cm
  30. 4 cm
  31. 110 sq cm
  32. 46 cm
  33. 3 cm
  34. 119 sq cm
  35. 30 cm
  36. 54 cm
  37. 48 sq cm
  38. 70 sq cm
  39. 225 sq cm
  40. 56 cm

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