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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 475 · 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 18 cm long and 3 cm wide. What is its perimeter? (a) 42 cm (b) 21 cm (c) 39 cm (d) 54 cm
  2. 2.A rectangle has an area of 209 sq cm and a length of 19 cm. What is its width? (a) 22 cm (b) 11 cm (c) 12 cm (d) 190 cm
  3. 3.A rectangle is 18 cm long and 9 cm wide. What is its area? (a) 162 sq cm (b) 54 sq cm (c) 180 sq cm (d) 27 sq cm
  4. 4.A rectangle has an area of 99 sq cm and a length of 11 cm. What is its width? (a) 9 cm (b) 88 cm (c) 10 cm (d) 18 cm
  5. 5.A rectangle is 19 cm long and 3 cm wide. What is its area? (a) 44 sq cm (b) 76 sq cm (c) 57 sq cm (d) 22 sq cm
  6. 6.A rectangle has an area of 200 sq cm and a length of 20 cm. What is its width? (a) 180 cm (b) 20 cm (c) 11 cm (d) 10 cm
  7. 7.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 42 sq cm (b) 12 sq cm (c) 35 sq cm (d) 24 sq cm
  8. 8.A rectangle has an area of 240 sq cm and a length of 20 cm. What is its width? (a) 220 cm (b) 13 cm (c) 12 cm (d) 24 cm
  9. 9.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 49 sq cm (d) 64 sq cm
  10. 10.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 44 sq cm (c) 121 sq cm (d) 144 sq cm
  11. 11.A rectangle has an area of 72 sq cm and a length of 9 cm. What is its width? (a) 9 cm (b) 8 cm (c) 63 cm (d) 16 cm
  12. 12.A rectangle is 13 cm long and 3 cm wide. What is its area? (a) 16 sq cm (b) 39 sq cm (c) 52 sq cm (d) 32 sq cm
  13. 13.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 22 cm (b) 30 cm (c) 17 cm (d) 11 cm
  14. 14.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
  15. 15.A rectangle is 20 cm long and 4 cm wide. What is its area? (a) 80 sq cm (b) 48 sq cm (c) 100 sq cm (d) 24 sq cm
  16. 16.A rectangle is 8 cm long and 7 cm wide. What is its perimeter? (a) 15 cm (b) 56 cm (c) 23 cm (d) 30 cm
  17. 17.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 36 sq cm (c) 81 sq cm (d) 18 sq cm
  18. 18.A rectangle has an area of 117 sq cm and a length of 13 cm. What is its width? (a) 9 cm (b) 10 cm (c) 18 cm (d) 104 cm
  19. 19.A rectangle is 10 cm long and 5 cm wide. What is its perimeter? (a) 30 cm (b) 25 cm (c) 15 cm (d) 50 cm
  20. 20.A rectangle has an area of 40 sq cm and a length of 10 cm. What is its width? (a) 8 cm (b) 30 cm (c) 4 cm (d) 5 cm
  21. 21.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 12 sq cm (c) 36 sq cm (d) 27 sq cm
  22. 22.A rectangle is 12 cm long and 6 cm wide. What is its area? (a) 72 sq cm (b) 18 sq cm (c) 36 sq cm (d) 84 sq cm
  23. 23.A rectangle is 20 cm long and 3 cm wide. What is its area? (a) 23 sq cm (b) 60 sq cm (c) 46 sq cm (d) 80 sq cm
  24. 24.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 52 sq cm (c) 169 sq cm (d) 26 sq cm
  25. 25.A rectangle is 20 cm long and 5 cm wide. What is its perimeter? (a) 50 cm (b) 100 cm (c) 25 cm (d) 45 cm
  26. 26.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 24 sq cm (c) 48 sq cm (d) 144 sq cm
  27. 27.A rectangle is 11 cm long and 4 cm wide. What is its perimeter? (a) 26 cm (b) 15 cm (c) 44 cm (d) 30 cm
  28. 28.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 20 cm (b) 21 cm (c) 10 cm (d) 17 cm
  29. 29.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
  30. 30.A rectangle is 8 cm long and 5 cm wide. What is its area? (a) 48 sq cm (b) 26 sq cm (c) 13 sq cm (d) 40 sq cm
  31. 31.A rectangle has an area of 12 sq cm and a length of 4 cm. What is its width? (a) 6 cm (b) 4 cm (c) 3 cm (d) 8 cm
  32. 32.A rectangle has an area of 60 sq cm and a length of 15 cm. What is its width? (a) 45 cm (b) 8 cm (c) 5 cm (d) 4 cm
  33. 33.A rectangle is 18 cm long and 8 cm wide. What is its perimeter? (a) 44 cm (b) 144 cm (c) 26 cm (d) 52 cm
  34. 34.A rectangle has an area of 56 sq cm and a length of 14 cm. What is its width? (a) 5 cm (b) 4 cm (c) 42 cm (d) 8 cm
  35. 35.A rectangle has an area of 105 sq cm and a length of 15 cm. What is its width? (a) 14 cm (b) 7 cm (c) 8 cm (d) 90 cm
  36. 36.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
  37. 37.A square has a perimeter of 40 cm. What is its area? (a) 100 sq cm (b) 40 sq cm (c) 20 sq cm (d) 121 sq cm
  38. 38.A rectangle has an area of 165 sq cm and a length of 15 cm. What is its width? (a) 150 cm (b) 22 cm (c) 11 cm (d) 12 cm
  39. 39.A rectangle is 10 cm long and 2 cm wide. What is its perimeter? (a) 12 cm (b) 22 cm (c) 20 cm (d) 24 cm
  40. 40.A rectangle has an area of 51 sq cm and a length of 17 cm. What is its width? (a) 6 cm (b) 4 cm (c) 3 cm (d) 34 cm

Answer key

  1. 42 cm
  2. 11 cm
  3. 162 sq cm
  4. 9 cm
  5. 57 sq cm
  6. 10 cm
  7. 35 sq cm
  8. 12 cm
  9. 49 sq cm
  10. 121 sq cm
  11. 8 cm
  12. 39 sq cm
  13. 22 cm
  14. 112 sq cm
  15. 80 sq cm
  16. 30 cm
  17. 81 sq cm
  18. 9 cm
  19. 30 cm
  20. 4 cm
  21. 27 sq cm
  22. 72 sq cm
  23. 60 sq cm
  24. 169 sq cm
  25. 50 cm
  26. 144 sq cm
  27. 30 cm
  28. 20 cm
  29. 196 sq cm
  30. 40 sq cm
  31. 3 cm
  32. 4 cm
  33. 52 cm
  34. 4 cm
  35. 7 cm
  36. 36 sq cm
  37. 100 sq cm
  38. 11 cm
  39. 24 cm
  40. 3 cm

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