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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 933 · 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 6 cm long and 4 cm wide. What is its perimeter? (a) 20 cm (b) 24 cm (c) 16 cm (d) 10 cm
  2. 2.A rectangle has an area of 21 sq cm and a length of 7 cm. What is its width? (a) 14 cm (b) 3 cm (c) 6 cm (d) 4 cm
  3. 3.A rectangle has an area of 228 sq cm and a length of 19 cm. What is its width? (a) 209 cm (b) 24 cm (c) 13 cm (d) 12 cm
  4. 4.A rectangle has an area of 170 sq cm and a length of 17 cm. What is its width? (a) 20 cm (b) 11 cm (c) 153 cm (d) 10 cm
  5. 5.A rectangle is 16 cm long and 3 cm wide. What is its area? (a) 38 sq cm (b) 64 sq cm (c) 48 sq cm (d) 19 sq cm
  6. 6.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 28 sq cm (b) 54 sq cm (c) 45 sq cm (d) 14 sq cm
  7. 7.A rectangle is 17 cm long and 8 cm wide. What is its area? (a) 50 sq cm (b) 153 sq cm (c) 136 sq cm (d) 25 sq cm
  8. 8.A rectangle is 11 cm long and 6 cm wide. What is its area? (a) 34 sq cm (b) 66 sq cm (c) 17 sq cm (d) 77 sq cm
  9. 9.A rectangle has an area of 42 sq cm and a length of 7 cm. What is its width? (a) 35 cm (b) 12 cm (c) 7 cm (d) 6 cm
  10. 10.A rectangle is 9 cm long and 7 cm wide. What is its perimeter? (a) 32 cm (b) 63 cm (c) 25 cm (d) 16 cm
  11. 11.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 121 sq cm (c) 22 sq cm (d) 44 sq cm
  12. 12.A rectangle is 10 cm long and 7 cm wide. What is its area? (a) 17 sq cm (b) 70 sq cm (c) 34 sq cm (d) 80 sq cm
  13. 13.A rectangle is 10 cm long and 6 cm wide. What is its perimeter? (a) 26 cm (b) 60 cm (c) 16 cm (d) 32 cm
  14. 14.A rectangle is 13 cm long and 3 cm wide. What is its perimeter? (a) 16 cm (b) 39 cm (c) 32 cm (d) 29 cm
  15. 15.A rectangle is 13 cm long and 10 cm wide. What is its perimeter? (a) 36 cm (b) 130 cm (c) 23 cm (d) 46 cm
  16. 16.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 36 sq cm (c) 25 sq cm (d) 20 sq cm
  17. 17.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 225 sq cm (c) 196 sq cm (d) 56 sq cm
  18. 18.A rectangle is 19 cm long and 6 cm wide. What is its area? (a) 133 sq cm (b) 50 sq cm (c) 25 sq cm (d) 114 sq cm
  19. 19.A rectangle is 13 cm long and 7 cm wide. What is its perimeter? (a) 20 cm (b) 40 cm (c) 33 cm (d) 91 cm
  20. 20.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 26 cm (b) 20 cm (c) 13 cm (d) 42 cm
  21. 21.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
  22. 22.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 28 sq cm (b) 56 sq cm (c) 14 sq cm (d) 48 sq cm
  23. 23.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 36 sq cm (b) 11 sq cm (c) 22 sq cm (d) 30 sq cm
  24. 24.A rectangle is 16 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 48 sq cm (c) 36 sq cm (d) 32 sq cm
  25. 25.A rectangle has an area of 132 sq cm and a length of 12 cm. What is its width? (a) 12 cm (b) 22 cm (c) 11 cm (d) 120 cm
  26. 26.A rectangle is 19 cm long and 9 cm wide. What is its perimeter? (a) 28 cm (b) 171 cm (c) 47 cm (d) 56 cm
  27. 27.A rectangle is 12 cm long and 4 cm wide. What is its area? (a) 16 sq cm (b) 60 sq cm (c) 32 sq cm (d) 48 sq cm
  28. 28.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 169 sq cm (c) 48 sq cm (d) 144 sq cm
  29. 29.A rectangle is 18 cm long and 5 cm wide. What is its perimeter? (a) 41 cm (b) 90 cm (c) 46 cm (d) 23 cm
  30. 30.A rectangle is 20 cm long and 8 cm wide. What is its area? (a) 56 sq cm (b) 180 sq cm (c) 28 sq cm (d) 160 sq cm
  31. 31.A rectangle is 15 cm long and 6 cm wide. What is its perimeter? (a) 21 cm (b) 42 cm (c) 36 cm (d) 90 cm
  32. 32.A rectangle is 16 cm long and 6 cm wide. What is its perimeter? (a) 38 cm (b) 96 cm (c) 44 cm (d) 22 cm
  33. 33.A rectangle is 20 cm long and 4 cm wide. What is its area? (a) 24 sq cm (b) 80 sq cm (c) 48 sq cm (d) 100 sq cm
  34. 34.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 22 sq cm (c) 11 sq cm (d) 27 sq cm
  35. 35.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 19 cm (b) 18 cm (c) 9 cm (d) 15 cm
  36. 36.A rectangle is 9 cm long and 8 cm wide. What is its perimeter? (a) 17 cm (b) 72 cm (c) 34 cm (d) 26 cm
  37. 37.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 24 sq cm (b) 30 sq cm (c) 20 sq cm (d) 10 sq cm
  38. 38.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 30 sq cm (c) 256 sq cm (d) 225 sq cm
  39. 39.A rectangle is 18 cm long and 12 cm wide. What is its area? (a) 30 sq cm (b) 60 sq cm (c) 234 sq cm (d) 216 sq cm
  40. 40.A rectangle has an area of 32 sq cm and a length of 8 cm. What is its width? (a) 8 cm (b) 5 cm (c) 24 cm (d) 4 cm

Answer key

  1. 20 cm
  2. 3 cm
  3. 12 cm
  4. 10 cm
  5. 48 sq cm
  6. 45 sq cm
  7. 136 sq cm
  8. 66 sq cm
  9. 6 cm
  10. 32 cm
  11. 121 sq cm
  12. 70 sq cm
  13. 32 cm
  14. 32 cm
  15. 46 cm
  16. 25 sq cm
  17. 196 sq cm
  18. 114 sq cm
  19. 40 cm
  20. 26 cm
  21. 169 sq cm
  22. 48 sq cm
  23. 30 sq cm
  24. 32 sq cm
  25. 11 cm
  26. 56 cm
  27. 48 sq cm
  28. 144 sq cm
  29. 46 cm
  30. 160 sq cm
  31. 42 cm
  32. 44 cm
  33. 80 sq cm
  34. 18 sq cm
  35. 18 cm
  36. 34 cm
  37. 24 sq cm
  38. 225 sq cm
  39. 216 sq cm
  40. 4 cm

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