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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 737 · 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 3 cm wide. What is its perimeter? (a) 19 cm (b) 18 cm (c) 15 cm (d) 9 cm
  2. 2.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 196 sq cm (c) 28 sq cm (d) 56 sq cm
  3. 3.A rectangle has an area of 36 sq cm and a length of 18 cm. What is its width? (a) 18 cm (b) 3 cm (c) 4 cm (d) 2 cm
  4. 4.A rectangle is 15 cm long and 12 cm wide. What is its perimeter? (a) 54 cm (b) 27 cm (c) 42 cm (d) 180 cm
  5. 5.A rectangle is 10 cm long and 3 cm wide. What is its area? (a) 13 sq cm (b) 26 sq cm (c) 40 sq cm (d) 30 sq cm
  6. 6.A rectangle is 15 cm long and 2 cm wide. What is its perimeter? (a) 32 cm (b) 17 cm (c) 30 cm (d) 34 cm
  7. 7.A rectangle has an area of 128 sq cm and a length of 16 cm. What is its width? (a) 112 cm (b) 9 cm (c) 8 cm (d) 16 cm
  8. 8.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 26 sq cm (c) 169 sq cm (d) 52 sq cm
  9. 9.A rectangle is 18 cm long and 11 cm wide. What is its area? (a) 216 sq cm (b) 198 sq cm (c) 29 sq cm (d) 58 sq cm
  10. 10.A rectangle has an area of 30 sq cm and a length of 15 cm. What is its width? (a) 15 cm (b) 3 cm (c) 4 cm (d) 2 cm
  11. 11.A rectangle has an area of 192 sq cm and a length of 16 cm. What is its width? (a) 12 cm (b) 176 cm (c) 13 cm (d) 24 cm
  12. 12.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 225 sq cm (c) 30 sq cm (d) 60 sq cm
  13. 13.A rectangle is 20 cm long and 11 cm wide. What is its area? (a) 240 sq cm (b) 220 sq cm (c) 62 sq cm (d) 31 sq cm
  14. 14.A rectangle is 14 cm long and 12 cm wide. What is its area? (a) 26 sq cm (b) 182 sq cm (c) 52 sq cm (d) 168 sq cm
  15. 15.A rectangle has an area of 130 sq cm and a length of 13 cm. What is its width? (a) 20 cm (b) 117 cm (c) 10 cm (d) 11 cm
  16. 16.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
  17. 17.A rectangle has an area of 99 sq cm and a length of 11 cm. What is its width? (a) 9 cm (b) 18 cm (c) 10 cm (d) 88 cm
  18. 18.A rectangle has an area of 117 sq cm and a length of 13 cm. What is its width? (a) 10 cm (b) 9 cm (c) 104 cm (d) 18 cm
  19. 19.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 56 sq cm (b) 30 sq cm (c) 15 sq cm (d) 64 sq cm
  20. 20.A rectangle has an area of 104 sq cm and a length of 13 cm. What is its width? (a) 16 cm (b) 9 cm (c) 91 cm (d) 8 cm
  21. 21.A rectangle is 17 cm long and 11 cm wide. What is its area? (a) 28 sq cm (b) 56 sq cm (c) 187 sq cm (d) 204 sq cm
  22. 22.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 36 sq cm (c) 81 sq cm (d) 100 sq cm
  23. 23.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 20 cm (b) 16 cm (c) 10 cm (d) 18 cm
  24. 24.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 28 sq cm (b) 21 sq cm (c) 20 sq cm (d) 10 sq cm
  25. 25.A rectangle is 8 cm long and 5 cm wide. What is its perimeter? (a) 40 cm (b) 26 cm (c) 21 cm (d) 13 cm
  26. 26.A rectangle has an area of 36 sq cm and a length of 9 cm. What is its width? (a) 5 cm (b) 27 cm (c) 4 cm (d) 8 cm
  27. 27.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
  28. 28.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 11 cm (b) 18 cm (c) 28 cm (d) 22 cm
  29. 29.A rectangle is 15 cm long and 4 cm wide. What is its perimeter? (a) 19 cm (b) 34 cm (c) 60 cm (d) 38 cm
  30. 30.A rectangle is 15 cm long and 8 cm wide. What is its perimeter? (a) 120 cm (b) 23 cm (c) 38 cm (d) 46 cm
  31. 31.A rectangle is 11 cm long and 8 cm wide. What is its perimeter? (a) 88 cm (b) 19 cm (c) 30 cm (d) 38 cm
  32. 32.A rectangle has an area of 51 sq cm and a length of 17 cm. What is its width? (a) 3 cm (b) 6 cm (c) 34 cm (d) 4 cm
  33. 33.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 32 sq cm (b) 24 sq cm (c) 12 sq cm (d) 40 sq cm
  34. 34.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
  35. 35.A rectangle has an area of 30 sq cm and a length of 10 cm. What is its width? (a) 6 cm (b) 4 cm (c) 3 cm (d) 20 cm
  36. 36.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 12 sq cm (b) 16 sq cm (c) 8 sq cm (d) 18 sq cm
  37. 37.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 49 sq cm (c) 24 sq cm (d) 36 sq cm
  38. 38.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 35 cm (b) 19 cm (c) 12 cm (d) 24 cm
  39. 39.A rectangle has an area of 54 sq cm and a length of 18 cm. What is its width? (a) 3 cm (b) 6 cm (c) 4 cm (d) 36 cm
  40. 40.A rectangle is 16 cm long and 8 cm wide. What is its perimeter? (a) 48 cm (b) 128 cm (c) 24 cm (d) 40 cm

Answer key

  1. 18 cm
  2. 196 sq cm
  3. 2 cm
  4. 54 cm
  5. 30 sq cm
  6. 34 cm
  7. 8 cm
  8. 169 sq cm
  9. 198 sq cm
  10. 2 cm
  11. 12 cm
  12. 225 sq cm
  13. 220 sq cm
  14. 168 sq cm
  15. 10 cm
  16. 64 sq cm
  17. 9 cm
  18. 9 cm
  19. 56 sq cm
  20. 8 cm
  21. 187 sq cm
  22. 81 sq cm
  23. 20 cm
  24. 21 sq cm
  25. 26 cm
  26. 4 cm
  27. 8 cm
  28. 22 cm
  29. 38 cm
  30. 46 cm
  31. 38 cm
  32. 3 cm
  33. 32 sq cm
  34. 6 cm
  35. 3 cm
  36. 12 sq cm
  37. 36 sq cm
  38. 24 cm
  39. 3 cm
  40. 48 cm

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