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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 43 · 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 7 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 9 sq cm (c) 14 sq cm (d) 21 sq cm
  2. 2.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 14 cm (b) 9 cm (c) 16 cm (d) 18 cm
  3. 3.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 32 sq cm (c) 81 sq cm (d) 64 sq cm
  4. 4.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 20 sq cm (c) 121 sq cm (d) 100 sq cm
  5. 5.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 18 sq cm (c) 12 sq cm (d) 8 sq cm
  6. 6.A rectangle has an area of 63 sq cm and a length of 9 cm. What is its width? (a) 7 cm (b) 8 cm (c) 54 cm (d) 14 cm
  7. 7.A rectangle is 18 cm long and 5 cm wide. What is its area? (a) 46 sq cm (b) 108 sq cm (c) 23 sq cm (d) 90 sq cm
  8. 8.A rectangle is 11 cm long and 9 cm wide. What is its area? (a) 40 sq cm (b) 20 sq cm (c) 99 sq cm (d) 110 sq cm
  9. 9.A rectangle has an area of 15 sq cm and a length of 5 cm. What is its width? (a) 6 cm (b) 10 cm (c) 4 cm (d) 3 cm
  10. 10.A rectangle has an area of 6 sq cm and a length of 3 cm. What is its width? (a) 3 cm (b) 4 cm (c) 2 cm (d) 1 cm
  11. 11.A square has a perimeter of 52 cm. What is its area? (a) 169 sq cm (b) 196 sq cm (c) 52 sq cm (d) 26 sq cm
  12. 12.A rectangle is 12 cm long and 6 cm wide. What is its area? (a) 84 sq cm (b) 36 sq cm (c) 72 sq cm (d) 18 sq cm
  13. 13.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 28 sq cm (c) 196 sq cm (d) 56 sq cm
  14. 14.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
  15. 15.A rectangle has an area of 64 sq cm and a length of 16 cm. What is its width? (a) 8 cm (b) 5 cm (c) 48 cm (d) 4 cm
  16. 16.A rectangle has an area of 112 sq cm and a length of 16 cm. What is its width? (a) 96 cm (b) 14 cm (c) 8 cm (d) 7 cm
  17. 17.A rectangle has an area of 42 sq cm and a length of 7 cm. What is its width? (a) 6 cm (b) 7 cm (c) 12 cm (d) 35 cm
  18. 18.A rectangle has an area of 84 sq cm and a length of 14 cm. What is its width? (a) 7 cm (b) 70 cm (c) 12 cm (d) 6 cm
  19. 19.A rectangle is 10 cm long and 6 cm wide. What is its area? (a) 16 sq cm (b) 70 sq cm (c) 60 sq cm (d) 32 sq cm
  20. 20.A rectangle has an area of 34 sq cm and a length of 17 cm. What is its width? (a) 3 cm (b) 4 cm (c) 2 cm (d) 17 cm
  21. 21.A rectangle is 19 cm long and 5 cm wide. What is its perimeter? (a) 24 cm (b) 43 cm (c) 48 cm (d) 95 cm
  22. 22.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 100 sq cm (c) 36 sq cm (d) 81 sq cm
  23. 23.A rectangle has an area of 209 sq cm and a length of 19 cm. What is its width? (a) 12 cm (b) 11 cm (c) 190 cm (d) 22 cm
  24. 24.A rectangle has an area of 168 sq cm and a length of 14 cm. What is its width? (a) 24 cm (b) 13 cm (c) 154 cm (d) 12 cm
  25. 25.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 24 sq cm (c) 169 sq cm (d) 144 sq cm
  26. 26.A rectangle is 17 cm long and 2 cm wide. What is its area? (a) 34 sq cm (b) 51 sq cm (c) 38 sq cm (d) 19 sq cm
  27. 27.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 24 cm (b) 12 cm (c) 19 cm (d) 35 cm
  28. 28.A square has a perimeter of 24 cm. What is its area? (a) 36 sq cm (b) 49 sq cm (c) 24 sq cm (d) 12 sq cm
  29. 29.A rectangle is 20 cm long and 12 cm wide. What is its perimeter? (a) 52 cm (b) 32 cm (c) 64 cm (d) 240 cm
  30. 30.A rectangle is 18 cm long and 7 cm wide. What is its area? (a) 50 sq cm (b) 144 sq cm (c) 25 sq cm (d) 126 sq cm
  31. 31.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 225 sq cm (c) 60 sq cm (d) 256 sq cm
  32. 32.A rectangle is 12 cm long and 5 cm wide. What is its area? (a) 60 sq cm (b) 34 sq cm (c) 72 sq cm (d) 17 sq cm
  33. 33.A rectangle is 10 cm long and 3 cm wide. What is its perimeter? (a) 23 cm (b) 26 cm (c) 13 cm (d) 30 cm
  34. 34.A rectangle is 13 cm long and 9 cm wide. What is its area? (a) 117 sq cm (b) 130 sq cm (c) 44 sq cm (d) 22 sq cm
  35. 35.A rectangle has an area of 180 sq cm and a length of 18 cm. What is its width? (a) 11 cm (b) 10 cm (c) 20 cm (d) 162 cm
  36. 36.A rectangle has an area of 198 sq cm and a length of 18 cm. What is its width? (a) 180 cm (b) 12 cm (c) 22 cm (d) 11 cm
  37. 37.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 26 cm (b) 20 cm (c) 42 cm (d) 13 cm
  38. 38.A rectangle is 17 cm long and 12 cm wide. What is its area? (a) 58 sq cm (b) 29 sq cm (c) 221 sq cm (d) 204 sq cm
  39. 39.A rectangle is 19 cm long and 9 cm wide. What is its area? (a) 190 sq cm (b) 56 sq cm (c) 171 sq cm (d) 28 sq cm
  40. 40.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 18 cm (b) 15 cm (c) 19 cm (d) 9 cm

Answer key

  1. 14 sq cm
  2. 18 cm
  3. 64 sq cm
  4. 100 sq cm
  5. 12 sq cm
  6. 7 cm
  7. 90 sq cm
  8. 99 sq cm
  9. 3 cm
  10. 2 cm
  11. 169 sq cm
  12. 72 sq cm
  13. 196 sq cm
  14. 25 sq cm
  15. 4 cm
  16. 7 cm
  17. 6 cm
  18. 6 cm
  19. 60 sq cm
  20. 2 cm
  21. 48 cm
  22. 81 sq cm
  23. 11 cm
  24. 12 cm
  25. 144 sq cm
  26. 34 sq cm
  27. 24 cm
  28. 36 sq cm
  29. 64 cm
  30. 126 sq cm
  31. 225 sq cm
  32. 60 sq cm
  33. 26 cm
  34. 117 sq cm
  35. 10 cm
  36. 11 cm
  37. 26 cm
  38. 204 sq cm
  39. 171 sq cm
  40. 18 cm

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