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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 567 · 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 28 sq cm and a length of 14 cm. What is its width? (a) 4 cm (b) 3 cm (c) 2 cm (d) 14 cm
  2. 2.A rectangle is 11 cm long and 2 cm wide. What is its perimeter? (a) 24 cm (b) 22 cm (c) 26 cm (d) 13 cm
  3. 3.A rectangle is 11 cm long and 8 cm wide. What is its perimeter? (a) 30 cm (b) 38 cm (c) 19 cm (d) 88 cm
  4. 4.A rectangle is 9 cm long and 2 cm wide. What is its perimeter? (a) 20 cm (b) 22 cm (c) 11 cm (d) 18 cm
  5. 5.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 35 sq cm (b) 12 sq cm (c) 42 sq cm (d) 24 sq cm
  6. 6.A rectangle has an area of 176 sq cm and a length of 16 cm. What is its width? (a) 22 cm (b) 160 cm (c) 12 cm (d) 11 cm
  7. 7.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 24 sq cm (c) 49 sq cm (d) 36 sq cm
  8. 8.A rectangle is 11 cm long and 10 cm wide. What is its perimeter? (a) 32 cm (b) 110 cm (c) 21 cm (d) 42 cm
  9. 9.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 21 sq cm (b) 14 sq cm (c) 18 sq cm (d) 9 sq cm
  10. 10.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 81 sq cm (c) 100 sq cm (d) 36 sq cm
  11. 11.A rectangle is 15 cm long and 2 cm wide. What is its perimeter? (a) 30 cm (b) 34 cm (c) 32 cm (d) 17 cm
  12. 12.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 225 sq cm (c) 28 sq cm (d) 196 sq cm
  13. 13.A rectangle has an area of 170 sq cm and a length of 17 cm. What is its width? (a) 20 cm (b) 10 cm (c) 153 cm (d) 11 cm
  14. 14.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 12 cm (b) 19 cm (c) 24 cm (d) 35 cm
  15. 15.A rectangle is 13 cm long and 2 cm wide. What is its area? (a) 15 sq cm (b) 26 sq cm (c) 39 sq cm (d) 30 sq cm
  16. 16.A rectangle is 20 cm long and 2 cm wide. What is its area? (a) 44 sq cm (b) 60 sq cm (c) 40 sq cm (d) 22 sq cm
  17. 17.A rectangle is 10 cm long and 8 cm wide. What is its perimeter? (a) 80 cm (b) 18 cm (c) 36 cm (d) 28 cm
  18. 18.A rectangle is 14 cm long and 10 cm wide. What is its area? (a) 140 sq cm (b) 48 sq cm (c) 154 sq cm (d) 24 sq cm
  19. 19.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 26 sq cm (c) 196 sq cm (d) 169 sq cm
  20. 20.A rectangle is 15 cm long and 9 cm wide. What is its area? (a) 135 sq cm (b) 48 sq cm (c) 150 sq cm (d) 24 sq cm
  21. 21.A rectangle is 11 cm long and 9 cm wide. What is its area? (a) 20 sq cm (b) 99 sq cm (c) 40 sq cm (d) 110 sq cm
  22. 22.A rectangle is 8 cm long and 5 cm wide. What is its area? (a) 48 sq cm (b) 40 sq cm (c) 13 sq cm (d) 26 sq cm
  23. 23.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 20 cm (b) 21 cm (c) 10 cm (d) 17 cm
  24. 24.A rectangle is 20 cm long and 10 cm wide. What is its area? (a) 60 sq cm (b) 200 sq cm (c) 30 sq cm (d) 220 sq cm
  25. 25.A rectangle is 15 cm long and 3 cm wide. What is its perimeter? (a) 45 cm (b) 33 cm (c) 18 cm (d) 36 cm
  26. 26.A rectangle is 10 cm long and 2 cm wide. What is its area? (a) 24 sq cm (b) 20 sq cm (c) 12 sq cm (d) 30 sq cm
  27. 27.A rectangle is 19 cm long and 12 cm wide. What is its area? (a) 31 sq cm (b) 62 sq cm (c) 247 sq cm (d) 228 sq cm
  28. 28.A rectangle is 14 cm long and 6 cm wide. What is its area? (a) 20 sq cm (b) 40 sq cm (c) 98 sq cm (d) 84 sq cm
  29. 29.A rectangle has an area of 102 sq cm and a length of 17 cm. What is its width? (a) 12 cm (b) 7 cm (c) 85 cm (d) 6 cm
  30. 30.A rectangle has an area of 99 sq cm and a length of 11 cm. What is its width? (a) 18 cm (b) 10 cm (c) 88 cm (d) 9 cm
  31. 31.A rectangle is 10 cm long and 3 cm wide. What is its perimeter? (a) 23 cm (b) 30 cm (c) 13 cm (d) 26 cm
  32. 32.A rectangle is 15 cm long and 7 cm wide. What is its perimeter? (a) 44 cm (b) 105 cm (c) 37 cm (d) 22 cm
  33. 33.A rectangle is 20 cm long and 12 cm wide. What is its perimeter? (a) 64 cm (b) 52 cm (c) 240 cm (d) 32 cm
  34. 34.A rectangle has an area of 77 sq cm and a length of 11 cm. What is its width? (a) 66 cm (b) 7 cm (c) 8 cm (d) 14 cm
  35. 35.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 20 sq cm (c) 100 sq cm (d) 121 sq cm
  36. 36.A rectangle has an area of 100 sq cm and a length of 20 cm. What is its width? (a) 6 cm (b) 80 cm (c) 10 cm (d) 5 cm
  37. 37.A rectangle is 17 cm long and 10 cm wide. What is its perimeter? (a) 44 cm (b) 54 cm (c) 170 cm (d) 27 cm
  38. 38.A rectangle is 12 cm long and 7 cm wide. What is its perimeter? (a) 19 cm (b) 31 cm (c) 84 cm (d) 38 cm
  39. 39.A rectangle has an area of 144 sq cm and a length of 18 cm. What is its width? (a) 8 cm (b) 16 cm (c) 9 cm (d) 126 cm
  40. 40.A rectangle has an area of 45 sq cm and a length of 15 cm. What is its width? (a) 30 cm (b) 4 cm (c) 3 cm (d) 6 cm

Answer key

  1. 2 cm
  2. 26 cm
  3. 38 cm
  4. 22 cm
  5. 35 sq cm
  6. 11 cm
  7. 36 sq cm
  8. 42 cm
  9. 14 sq cm
  10. 81 sq cm
  11. 34 cm
  12. 196 sq cm
  13. 10 cm
  14. 24 cm
  15. 26 sq cm
  16. 40 sq cm
  17. 36 cm
  18. 140 sq cm
  19. 169 sq cm
  20. 135 sq cm
  21. 99 sq cm
  22. 40 sq cm
  23. 20 cm
  24. 200 sq cm
  25. 36 cm
  26. 20 sq cm
  27. 228 sq cm
  28. 84 sq cm
  29. 6 cm
  30. 9 cm
  31. 26 cm
  32. 44 cm
  33. 64 cm
  34. 7 cm
  35. 100 sq cm
  36. 5 cm
  37. 54 cm
  38. 38 cm
  39. 8 cm
  40. 3 cm

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