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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 969 · 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 40 cm. What is its area? (a) 121 sq cm (b) 100 sq cm (c) 40 sq cm (d) 20 sq cm
  2. 2.A rectangle is 11 cm long and 8 cm wide. What is its area? (a) 99 sq cm (b) 88 sq cm (c) 38 sq cm (d) 19 sq cm
  3. 3.A rectangle has an area of 180 sq cm and a length of 15 cm. What is its width? (a) 13 cm (b) 12 cm (c) 24 cm (d) 165 cm
  4. 4.A rectangle is 13 cm long and 6 cm wide. What is its perimeter? (a) 19 cm (b) 32 cm (c) 78 cm (d) 38 cm
  5. 5.A rectangle is 15 cm long and 3 cm wide. What is its area? (a) 45 sq cm (b) 18 sq cm (c) 36 sq cm (d) 60 sq cm
  6. 6.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 81 sq cm (c) 64 sq cm (d) 32 sq cm
  7. 7.A rectangle has an area of 60 sq cm and a length of 20 cm. What is its width? (a) 3 cm (b) 40 cm (c) 4 cm (d) 6 cm
  8. 8.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 36 sq cm (c) 49 sq cm (d) 12 sq cm
  9. 9.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 196 sq cm (c) 28 sq cm (d) 225 sq cm
  10. 10.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 30 sq cm (d) 24 sq cm
  11. 11.A rectangle has an area of 45 sq cm and a length of 9 cm. What is its width? (a) 36 cm (b) 5 cm (c) 10 cm (d) 6 cm
  12. 12.A rectangle has an area of 126 sq cm and a length of 14 cm. What is its width? (a) 10 cm (b) 18 cm (c) 9 cm (d) 112 cm
  13. 13.A rectangle is 19 cm long and 2 cm wide. What is its perimeter? (a) 42 cm (b) 40 cm (c) 38 cm (d) 21 cm
  14. 14.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 10 cm (b) 20 cm (c) 21 cm (d) 17 cm
  15. 15.A rectangle is 10 cm long and 9 cm wide. What is its area? (a) 90 sq cm (b) 100 sq cm (c) 19 sq cm (d) 38 sq cm
  16. 16.A rectangle is 19 cm long and 6 cm wide. What is its perimeter? (a) 114 cm (b) 50 cm (c) 25 cm (d) 44 cm
  17. 17.A rectangle is 15 cm long and 12 cm wide. What is its area? (a) 27 sq cm (b) 54 sq cm (c) 195 sq cm (d) 180 sq cm
  18. 18.A square has a perimeter of 44 cm. What is its area? (a) 121 sq cm (b) 144 sq cm (c) 22 sq cm (d) 44 sq cm
  19. 19.A rectangle is 18 cm long and 5 cm wide. What is its perimeter? (a) 90 cm (b) 23 cm (c) 41 cm (d) 46 cm
  20. 20.A rectangle is 13 cm long and 2 cm wide. What is its perimeter? (a) 26 cm (b) 30 cm (c) 15 cm (d) 28 cm
  21. 21.A rectangle is 10 cm long and 3 cm wide. What is its perimeter? (a) 13 cm (b) 26 cm (c) 23 cm (d) 30 cm
  22. 22.A rectangle has an area of 156 sq cm and a length of 13 cm. What is its width? (a) 12 cm (b) 143 cm (c) 13 cm (d) 24 cm
  23. 23.A rectangle is 15 cm long and 10 cm wide. What is its perimeter? (a) 40 cm (b) 25 cm (c) 50 cm (d) 150 cm
  24. 24.A rectangle is 18 cm long and 2 cm wide. What is its area? (a) 40 sq cm (b) 20 sq cm (c) 36 sq cm (d) 54 sq cm
  25. 25.A rectangle is 10 cm long and 2 cm wide. What is its area? (a) 30 sq cm (b) 12 sq cm (c) 24 sq cm (d) 20 sq cm
  26. 26.A rectangle is 20 cm long and 9 cm wide. What is its area? (a) 200 sq cm (b) 29 sq cm (c) 180 sq cm (d) 58 sq cm
  27. 27.A rectangle is 20 cm long and 10 cm wide. What is its perimeter? (a) 200 cm (b) 60 cm (c) 50 cm (d) 30 cm
  28. 28.A rectangle has an area of 228 sq cm and a length of 19 cm. What is its width? (a) 209 cm (b) 24 cm (c) 12 cm (d) 13 cm
  29. 29.A rectangle has an area of 28 sq cm and a length of 7 cm. What is its width? (a) 5 cm (b) 4 cm (c) 21 cm (d) 8 cm
  30. 30.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 20 cm (b) 16 cm (c) 10 cm (d) 24 cm
  31. 31.A rectangle is 19 cm long and 9 cm wide. What is its area? (a) 190 sq cm (b) 28 sq cm (c) 56 sq cm (d) 171 sq cm
  32. 32.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 30 sq cm (c) 60 sq cm (d) 225 sq cm
  33. 33.A rectangle is 8 cm long and 7 cm wide. What is its perimeter? (a) 15 cm (b) 30 cm (c) 56 cm (d) 23 cm
  34. 34.A rectangle is 16 cm long and 5 cm wide. What is its perimeter? (a) 37 cm (b) 21 cm (c) 80 cm (d) 42 cm
  35. 35.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 26 sq cm (b) 49 sq cm (c) 13 sq cm (d) 42 sq cm
  36. 36.A rectangle is 20 cm long and 10 cm wide. What is its area? (a) 30 sq cm (b) 60 sq cm (c) 220 sq cm (d) 200 sq cm
  37. 37.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 12 cm (b) 8 cm (c) 14 cm (d) 16 cm
  38. 38.A rectangle is 18 cm long and 10 cm wide. What is its perimeter? (a) 56 cm (b) 180 cm (c) 46 cm (d) 28 cm
  39. 39.A rectangle is 17 cm long and 8 cm wide. What is its perimeter? (a) 50 cm (b) 136 cm (c) 25 cm (d) 42 cm
  40. 40.A square has a perimeter of 28 cm. What is its area? (a) 49 sq cm (b) 64 sq cm (c) 28 sq cm (d) 14 sq cm

Answer key

  1. 100 sq cm
  2. 88 sq cm
  3. 12 cm
  4. 38 cm
  5. 45 sq cm
  6. 64 sq cm
  7. 3 cm
  8. 36 sq cm
  9. 196 sq cm
  10. 24 sq cm
  11. 5 cm
  12. 9 cm
  13. 42 cm
  14. 20 cm
  15. 90 sq cm
  16. 50 cm
  17. 180 sq cm
  18. 121 sq cm
  19. 46 cm
  20. 30 cm
  21. 26 cm
  22. 12 cm
  23. 50 cm
  24. 36 sq cm
  25. 20 sq cm
  26. 180 sq cm
  27. 60 cm
  28. 12 cm
  29. 4 cm
  30. 20 cm
  31. 171 sq cm
  32. 225 sq cm
  33. 30 cm
  34. 42 cm
  35. 42 sq cm
  36. 200 sq cm
  37. 16 cm
  38. 56 cm
  39. 50 cm
  40. 49 sq cm

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