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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 401 · 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 15 sq cm and a length of 5 cm. What is its width? (a) 3 cm (b) 4 cm (c) 10 cm (d) 6 cm
  2. 2.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 36 sq cm (b) 22 sq cm (c) 11 sq cm (d) 30 sq cm
  3. 3.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 32 sq cm (c) 64 sq cm (d) 16 sq cm
  4. 4.A rectangle is 10 cm long and 2 cm wide. What is its perimeter? (a) 24 cm (b) 22 cm (c) 20 cm (d) 12 cm
  5. 5.A square has a perimeter of 52 cm. What is its area? (a) 26 sq cm (b) 196 sq cm (c) 52 sq cm (d) 169 sq cm
  6. 6.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 44 sq cm (c) 144 sq cm (d) 121 sq cm
  7. 7.A rectangle is 12 cm long and 6 cm wide. What is its perimeter? (a) 36 cm (b) 72 cm (c) 30 cm (d) 18 cm
  8. 8.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 19 cm (b) 24 cm (c) 11 cm (d) 22 cm
  9. 9.A rectangle is 10 cm long and 9 cm wide. What is its perimeter? (a) 38 cm (b) 90 cm (c) 19 cm (d) 29 cm
  10. 10.A rectangle is 18 cm long and 8 cm wide. What is its area? (a) 162 sq cm (b) 52 sq cm (c) 26 sq cm (d) 144 sq cm
  11. 11.A rectangle is 19 cm long and 2 cm wide. What is its area? (a) 21 sq cm (b) 38 sq cm (c) 42 sq cm (d) 57 sq cm
  12. 12.A rectangle is 13 cm long and 7 cm wide. What is its perimeter? (a) 91 cm (b) 40 cm (c) 33 cm (d) 20 cm
  13. 13.A rectangle is 13 cm long and 7 cm wide. What is its area? (a) 91 sq cm (b) 40 sq cm (c) 20 sq cm (d) 104 sq cm
  14. 14.A rectangle has an area of 120 sq cm and a length of 20 cm. What is its width? (a) 100 cm (b) 7 cm (c) 6 cm (d) 12 cm
  15. 15.A rectangle is 10 cm long and 4 cm wide. What is its perimeter? (a) 40 cm (b) 14 cm (c) 28 cm (d) 24 cm
  16. 16.A rectangle has an area of 8 sq cm and a length of 4 cm. What is its width? (a) 1 cm (b) 4 cm (c) 3 cm (d) 2 cm
  17. 17.A rectangle is 12 cm long and 4 cm wide. What is its perimeter? (a) 16 cm (b) 32 cm (c) 48 cm (d) 28 cm
  18. 18.A rectangle is 19 cm long and 3 cm wide. What is its area? (a) 44 sq cm (b) 22 sq cm (c) 57 sq cm (d) 76 sq cm
  19. 19.A rectangle is 19 cm long and 9 cm wide. What is its perimeter? (a) 47 cm (b) 28 cm (c) 171 cm (d) 56 cm
  20. 20.A rectangle is 10 cm long and 5 cm wide. What is its perimeter? (a) 50 cm (b) 25 cm (c) 30 cm (d) 15 cm
  21. 21.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 12 sq cm (b) 42 sq cm (c) 35 sq cm (d) 24 sq cm
  22. 22.A rectangle has an area of 35 sq cm and a length of 7 cm. What is its width? (a) 5 cm (b) 28 cm (c) 6 cm (d) 10 cm
  23. 23.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 8 sq cm (c) 12 sq cm (d) 18 sq cm
  24. 24.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 45 sq cm (b) 14 sq cm (c) 28 sq cm (d) 54 sq cm
  25. 25.A rectangle is 10 cm long and 7 cm wide. What is its area? (a) 80 sq cm (b) 17 sq cm (c) 34 sq cm (d) 70 sq cm
  26. 26.A rectangle has an area of 120 sq cm and a length of 12 cm. What is its width? (a) 11 cm (b) 20 cm (c) 108 cm (d) 10 cm
  27. 27.A rectangle has an area of 60 sq cm and a length of 10 cm. What is its width? (a) 50 cm (b) 6 cm (c) 7 cm (d) 12 cm
  28. 28.A rectangle is 13 cm long and 8 cm wide. What is its perimeter? (a) 104 cm (b) 34 cm (c) 21 cm (d) 42 cm
  29. 29.A rectangle is 20 cm long and 6 cm wide. What is its perimeter? (a) 52 cm (b) 120 cm (c) 26 cm (d) 46 cm
  30. 30.A rectangle is 17 cm long and 7 cm wide. What is its perimeter? (a) 24 cm (b) 41 cm (c) 48 cm (d) 119 cm
  31. 31.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 13 sq cm (b) 26 sq cm (c) 42 sq cm (d) 49 sq cm
  32. 32.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 10 sq cm (b) 20 sq cm (c) 21 sq cm (d) 28 sq cm
  33. 33.A rectangle is 19 cm long and 11 cm wide. What is its area? (a) 228 sq cm (b) 30 sq cm (c) 209 sq cm (d) 60 sq cm
  34. 34.A rectangle has an area of 180 sq cm and a length of 20 cm. What is its width? (a) 160 cm (b) 10 cm (c) 9 cm (d) 18 cm
  35. 35.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 12 sq cm (c) 24 sq cm (d) 36 sq cm
  36. 36.A rectangle is 9 cm long and 5 cm wide. What is its perimeter? (a) 45 cm (b) 23 cm (c) 28 cm (d) 14 cm
  37. 37.A rectangle is 20 cm long and 10 cm wide. What is its perimeter? (a) 30 cm (b) 200 cm (c) 50 cm (d) 60 cm
  38. 38.A rectangle has an area of 91 sq cm and a length of 13 cm. What is its width? (a) 8 cm (b) 7 cm (c) 78 cm (d) 14 cm
  39. 39.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
  40. 40.A rectangle is 15 cm long and 10 cm wide. What is its area? (a) 50 sq cm (b) 150 sq cm (c) 25 sq cm (d) 165 sq cm

Answer key

  1. 3 cm
  2. 30 sq cm
  3. 64 sq cm
  4. 24 cm
  5. 169 sq cm
  6. 121 sq cm
  7. 36 cm
  8. 22 cm
  9. 38 cm
  10. 144 sq cm
  11. 38 sq cm
  12. 40 cm
  13. 91 sq cm
  14. 6 cm
  15. 28 cm
  16. 2 cm
  17. 32 cm
  18. 57 sq cm
  19. 56 cm
  20. 30 cm
  21. 35 sq cm
  22. 5 cm
  23. 12 sq cm
  24. 45 sq cm
  25. 70 sq cm
  26. 10 cm
  27. 6 cm
  28. 42 cm
  29. 52 cm
  30. 48 cm
  31. 42 sq cm
  32. 21 sq cm
  33. 209 sq cm
  34. 9 cm
  35. 36 sq cm
  36. 28 cm
  37. 60 cm
  38. 7 cm
  39. 25 sq cm
  40. 150 sq cm

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