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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 423 · 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 16 cm long and 2 cm wide. What is its perimeter? (a) 32 cm (b) 18 cm (c) 36 cm (d) 34 cm
  2. 2.A rectangle has an area of 156 sq cm and a length of 13 cm. What is its width? (a) 24 cm (b) 12 cm (c) 13 cm (d) 143 cm
  3. 3.A rectangle has an area of 180 sq cm and a length of 15 cm. What is its width? (a) 24 cm (b) 12 cm (c) 13 cm (d) 165 cm
  4. 4.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 36 sq cm (c) 12 sq cm (d) 49 sq cm
  5. 5.A rectangle is 13 cm long and 10 cm wide. What is its perimeter? (a) 130 cm (b) 23 cm (c) 36 cm (d) 46 cm
  6. 6.A rectangle has an area of 198 sq cm and a length of 18 cm. What is its width? (a) 22 cm (b) 180 cm (c) 12 cm (d) 11 cm
  7. 7.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 22 sq cm (c) 121 sq cm (d) 44 sq cm
  8. 8.A rectangle has an area of 136 sq cm and a length of 17 cm. What is its width? (a) 16 cm (b) 8 cm (c) 119 cm (d) 9 cm
  9. 9.A rectangle has an area of 135 sq cm and a length of 15 cm. What is its width? (a) 9 cm (b) 120 cm (c) 18 cm (d) 10 cm
  10. 10.A rectangle is 19 cm long and 5 cm wide. What is its perimeter? (a) 95 cm (b) 24 cm (c) 48 cm (d) 43 cm
  11. 11.A rectangle is 17 cm long and 10 cm wide. What is its area? (a) 170 sq cm (b) 54 sq cm (c) 27 sq cm (d) 187 sq cm
  12. 12.A rectangle is 16 cm long and 6 cm wide. What is its perimeter? (a) 38 cm (b) 96 cm (c) 22 cm (d) 44 cm
  13. 13.A rectangle is 14 cm long and 4 cm wide. What is its perimeter? (a) 18 cm (b) 36 cm (c) 56 cm (d) 32 cm
  14. 14.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 22 sq cm (c) 27 sq cm (d) 11 sq cm
  15. 15.A rectangle is 18 cm long and 9 cm wide. What is its perimeter? (a) 45 cm (b) 54 cm (c) 27 cm (d) 162 cm
  16. 16.A rectangle has an area of 27 sq cm and a length of 9 cm. What is its width? (a) 4 cm (b) 18 cm (c) 3 cm (d) 6 cm
  17. 17.A square has a perimeter of 60 cm. What is its area? (a) 225 sq cm (b) 60 sq cm (c) 30 sq cm (d) 256 sq cm
  18. 18.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
  19. 19.A rectangle is 20 cm long and 11 cm wide. What is its perimeter? (a) 220 cm (b) 31 cm (c) 51 cm (d) 62 cm
  20. 20.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 35 sq cm (b) 11 sq cm (c) 22 sq cm (d) 28 sq cm
  21. 21.A rectangle is 14 cm long and 7 cm wide. What is its area? (a) 98 sq cm (b) 42 sq cm (c) 112 sq cm (d) 21 sq cm
  22. 22.A rectangle is 19 cm long and 2 cm wide. What is its area? (a) 57 sq cm (b) 42 sq cm (c) 38 sq cm (d) 21 sq cm
  23. 23.A rectangle is 19 cm long and 12 cm wide. What is its area? (a) 31 sq cm (b) 247 sq cm (c) 228 sq cm (d) 62 sq cm
  24. 24.A rectangle is 12 cm long and 3 cm wide. What is its perimeter? (a) 36 cm (b) 27 cm (c) 15 cm (d) 30 cm
  25. 25.A rectangle has an area of 6 sq cm and a length of 3 cm. What is its width? (a) 3 cm (b) 2 cm (c) 4 cm (d) 1 cm
  26. 26.A rectangle is 19 cm long and 9 cm wide. What is its area? (a) 56 sq cm (b) 190 sq cm (c) 28 sq cm (d) 171 sq cm
  27. 27.A rectangle is 13 cm long and 5 cm wide. What is its perimeter? (a) 36 cm (b) 18 cm (c) 31 cm (d) 65 cm
  28. 28.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 36 sq cm (c) 10 sq cm (d) 20 sq cm
  29. 29.A rectangle is 17 cm long and 4 cm wide. What is its perimeter? (a) 21 cm (b) 68 cm (c) 38 cm (d) 42 cm
  30. 30.A rectangle has an area of 90 sq cm and a length of 10 cm. What is its width? (a) 80 cm (b) 18 cm (c) 10 cm (d) 9 cm
  31. 31.A rectangle is 11 cm long and 8 cm wide. What is its area? (a) 88 sq cm (b) 99 sq cm (c) 38 sq cm (d) 19 sq cm
  32. 32.A rectangle has an area of 216 sq cm and a length of 18 cm. What is its width? (a) 24 cm (b) 13 cm (c) 198 cm (d) 12 cm
  33. 33.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
  34. 34.A rectangle is 14 cm long and 12 cm wide. What is its perimeter? (a) 40 cm (b) 26 cm (c) 168 cm (d) 52 cm
  35. 35.A rectangle has an area of 44 sq cm and a length of 11 cm. What is its width? (a) 5 cm (b) 8 cm (c) 33 cm (d) 4 cm
  36. 36.A rectangle is 16 cm long and 11 cm wide. What is its area? (a) 54 sq cm (b) 27 sq cm (c) 176 sq cm (d) 192 sq cm
  37. 37.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 48 sq cm (c) 24 sq cm (d) 144 sq cm
  38. 38.A rectangle is 17 cm long and 4 cm wide. What is its area? (a) 42 sq cm (b) 68 sq cm (c) 21 sq cm (d) 85 sq cm
  39. 39.A rectangle is 18 cm long and 11 cm wide. What is its area? (a) 216 sq cm (b) 198 sq cm (c) 58 sq cm (d) 29 sq cm
  40. 40.A rectangle has an area of 84 sq cm and a length of 14 cm. What is its width? (a) 7 cm (b) 6 cm (c) 12 cm (d) 70 cm

Answer key

  1. 36 cm
  2. 12 cm
  3. 12 cm
  4. 36 sq cm
  5. 46 cm
  6. 11 cm
  7. 121 sq cm
  8. 8 cm
  9. 9 cm
  10. 48 cm
  11. 170 sq cm
  12. 44 cm
  13. 36 cm
  14. 18 sq cm
  15. 54 cm
  16. 3 cm
  17. 225 sq cm
  18. 81 sq cm
  19. 62 cm
  20. 28 sq cm
  21. 98 sq cm
  22. 38 sq cm
  23. 228 sq cm
  24. 30 cm
  25. 2 cm
  26. 171 sq cm
  27. 36 cm
  28. 25 sq cm
  29. 42 cm
  30. 9 cm
  31. 88 sq cm
  32. 12 cm
  33. 196 sq cm
  34. 52 cm
  35. 4 cm
  36. 176 sq cm
  37. 144 sq cm
  38. 68 sq cm
  39. 198 sq cm
  40. 6 cm

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