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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 701 · 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 square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 20 sq cm (c) 36 sq cm (d) 10 sq cm
  2. 2.A rectangle has an area of 140 sq cm and a length of 14 cm. What is its width? (a) 11 cm (b) 10 cm (c) 20 cm (d) 126 cm
  3. 3.A rectangle has an area of 112 sq cm and a length of 16 cm. What is its width? (a) 7 cm (b) 8 cm (c) 96 cm (d) 14 cm
  4. 4.A rectangle has an area of 216 sq cm and a length of 18 cm. What is its width? (a) 12 cm (b) 13 cm (c) 198 cm (d) 24 cm
  5. 5.A rectangle is 19 cm long and 9 cm wide. What is its area? (a) 190 sq cm (b) 171 sq cm (c) 56 sq cm (d) 28 sq cm
  6. 6.A rectangle is 14 cm long and 3 cm wide. What is its perimeter? (a) 17 cm (b) 31 cm (c) 42 cm (d) 34 cm
  7. 7.A rectangle is 16 cm long and 9 cm wide. What is its perimeter? (a) 25 cm (b) 144 cm (c) 41 cm (d) 50 cm
  8. 8.A rectangle has an area of 22 sq cm and a length of 11 cm. What is its width? (a) 3 cm (b) 4 cm (c) 2 cm (d) 11 cm
  9. 9.A rectangle has an area of 64 sq cm and a length of 16 cm. What is its width? (a) 5 cm (b) 8 cm (c) 4 cm (d) 48 cm
  10. 10.A rectangle is 14 cm long and 12 cm wide. What is its area? (a) 52 sq cm (b) 26 sq cm (c) 182 sq cm (d) 168 sq cm
  11. 11.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 27 sq cm (b) 12 sq cm (c) 24 sq cm (d) 36 sq cm
  12. 12.A rectangle has an area of 24 sq cm and a length of 12 cm. What is its width? (a) 4 cm (b) 2 cm (c) 12 cm (d) 3 cm
  13. 13.A rectangle is 13 cm long and 9 cm wide. What is its perimeter? (a) 44 cm (b) 35 cm (c) 117 cm (d) 22 cm
  14. 14.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 49 sq cm (c) 28 sq cm (d) 64 sq cm
  15. 15.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
  16. 16.A rectangle is 14 cm long and 3 cm wide. What is its area? (a) 17 sq cm (b) 42 sq cm (c) 34 sq cm (d) 56 sq cm
  17. 17.A rectangle is 11 cm long and 8 cm wide. What is its area? (a) 99 sq cm (b) 38 sq cm (c) 88 sq cm (d) 19 sq cm
  18. 18.A rectangle is 18 cm long and 9 cm wide. What is its area? (a) 27 sq cm (b) 180 sq cm (c) 54 sq cm (d) 162 sq cm
  19. 19.A rectangle is 13 cm long and 12 cm wide. What is its area? (a) 25 sq cm (b) 156 sq cm (c) 169 sq cm (d) 50 sq cm
  20. 20.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
  21. 21.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 10 sq cm (b) 20 sq cm (c) 30 sq cm (d) 24 sq cm
  22. 22.A rectangle is 14 cm long and 10 cm wide. What is its perimeter? (a) 140 cm (b) 24 cm (c) 38 cm (d) 48 cm
  23. 23.A rectangle is 20 cm long and 6 cm wide. What is its area? (a) 26 sq cm (b) 52 sq cm (c) 140 sq cm (d) 120 sq cm
  24. 24.A rectangle has an area of 56 sq cm and a length of 14 cm. What is its width? (a) 4 cm (b) 8 cm (c) 42 cm (d) 5 cm
  25. 25.A rectangle is 20 cm long and 3 cm wide. What is its area? (a) 80 sq cm (b) 46 sq cm (c) 60 sq cm (d) 23 sq cm
  26. 26.A rectangle is 19 cm long and 10 cm wide. What is its perimeter? (a) 48 cm (b) 29 cm (c) 190 cm (d) 58 cm
  27. 27.A rectangle has an area of 60 sq cm and a length of 10 cm. What is its width? (a) 7 cm (b) 6 cm (c) 12 cm (d) 50 cm
  28. 28.A rectangle has an area of 8 sq cm and a length of 4 cm. What is its width? (a) 4 cm (b) 3 cm (c) 2 cm (d) 1 cm
  29. 29.A rectangle is 10 cm long and 2 cm wide. What is its perimeter? (a) 22 cm (b) 12 cm (c) 20 cm (d) 24 cm
  30. 30.A rectangle is 11 cm long and 2 cm wide. What is its perimeter? (a) 26 cm (b) 13 cm (c) 22 cm (d) 24 cm
  31. 31.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 14 cm (b) 12 cm (c) 16 cm (d) 8 cm
  32. 32.A square has a perimeter of 44 cm. What is its area? (a) 121 sq cm (b) 22 sq cm (c) 144 sq cm (d) 44 sq cm
  33. 33.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 169 sq cm (c) 26 sq cm (d) 52 sq cm
  34. 34.A rectangle is 8 cm long and 5 cm wide. What is its area? (a) 26 sq cm (b) 13 sq cm (c) 40 sq cm (d) 48 sq cm
  35. 35.A rectangle is 11 cm long and 2 cm wide. What is its area? (a) 13 sq cm (b) 26 sq cm (c) 33 sq cm (d) 22 sq cm
  36. 36.A rectangle is 13 cm long and 8 cm wide. What is its area? (a) 117 sq cm (b) 104 sq cm (c) 42 sq cm (d) 21 sq cm
  37. 37.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 20 sq cm (b) 28 sq cm (c) 21 sq cm (d) 10 sq cm
  38. 38.A rectangle has an area of 110 sq cm and a length of 11 cm. What is its width? (a) 99 cm (b) 11 cm (c) 10 cm (d) 20 cm
  39. 39.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 16 sq cm (c) 32 sq cm (d) 64 sq cm
  40. 40.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 20 cm (b) 10 cm (c) 17 cm (d) 21 cm

Answer key

  1. 25 sq cm
  2. 10 cm
  3. 7 cm
  4. 12 cm
  5. 171 sq cm
  6. 34 cm
  7. 50 cm
  8. 2 cm
  9. 4 cm
  10. 168 sq cm
  11. 27 sq cm
  12. 2 cm
  13. 44 cm
  14. 49 sq cm
  15. 36 sq cm
  16. 42 sq cm
  17. 88 sq cm
  18. 162 sq cm
  19. 156 sq cm
  20. 100 sq cm
  21. 24 sq cm
  22. 48 cm
  23. 120 sq cm
  24. 4 cm
  25. 60 sq cm
  26. 58 cm
  27. 6 cm
  28. 2 cm
  29. 24 cm
  30. 26 cm
  31. 16 cm
  32. 121 sq cm
  33. 169 sq cm
  34. 40 sq cm
  35. 22 sq cm
  36. 104 sq cm
  37. 21 sq cm
  38. 10 cm
  39. 64 sq cm
  40. 20 cm

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