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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 841 · 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 11 cm long and 4 cm wide. What is its area? (a) 44 sq cm (b) 15 sq cm (c) 55 sq cm (d) 30 sq cm
  2. 2.A rectangle has an area of 54 sq cm and a length of 18 cm. What is its width? (a) 6 cm (b) 4 cm (c) 3 cm (d) 36 cm
  3. 3.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 16 sq cm (c) 12 sq cm (d) 8 sq cm
  4. 4.A rectangle is 10 cm long and 7 cm wide. What is its area? (a) 34 sq cm (b) 80 sq cm (c) 70 sq cm (d) 17 sq cm
  5. 5.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 36 sq cm (d) 25 sq cm
  6. 6.A rectangle is 14 cm long and 9 cm wide. What is its perimeter? (a) 23 cm (b) 37 cm (c) 46 cm (d) 126 cm
  7. 7.A rectangle is 18 cm long and 2 cm wide. What is its perimeter? (a) 40 cm (b) 36 cm (c) 20 cm (d) 38 cm
  8. 8.A rectangle has an area of 60 sq cm and a length of 12 cm. What is its width? (a) 48 cm (b) 5 cm (c) 10 cm (d) 6 cm
  9. 9.A rectangle has an area of 192 sq cm and a length of 16 cm. What is its width? (a) 12 cm (b) 13 cm (c) 24 cm (d) 176 cm
  10. 10.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
  11. 11.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 49 sq cm (c) 36 sq cm (d) 24 sq cm
  12. 12.A rectangle is 12 cm long and 4 cm wide. What is its area? (a) 32 sq cm (b) 16 sq cm (c) 60 sq cm (d) 48 sq cm
  13. 13.A rectangle has an area of 228 sq cm and a length of 19 cm. What is its width? (a) 209 cm (b) 13 cm (c) 12 cm (d) 24 cm
  14. 14.A rectangle is 16 cm long and 6 cm wide. What is its perimeter? (a) 44 cm (b) 38 cm (c) 96 cm (d) 22 cm
  15. 15.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 60 sq cm (c) 225 sq cm (d) 30 sq cm
  16. 16.A rectangle is 19 cm long and 11 cm wide. What is its area? (a) 209 sq cm (b) 60 sq cm (c) 30 sq cm (d) 228 sq cm
  17. 17.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 11 cm (b) 28 cm (c) 18 cm (d) 22 cm
  18. 18.A rectangle is 14 cm long and 2 cm wide. What is its area? (a) 32 sq cm (b) 16 sq cm (c) 42 sq cm (d) 28 sq cm
  19. 19.A rectangle has an area of 110 sq cm and a length of 11 cm. What is its width? (a) 11 cm (b) 10 cm (c) 99 cm (d) 20 cm
  20. 20.A square has a perimeter of 48 cm. What is its area? (a) 144 sq cm (b) 48 sq cm (c) 169 sq cm (d) 24 sq cm
  21. 21.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 40 sq cm (c) 100 sq cm (d) 20 sq cm
  22. 22.A rectangle is 11 cm long and 5 cm wide. What is its perimeter? (a) 32 cm (b) 27 cm (c) 16 cm (d) 55 cm
  23. 23.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 24 cm (b) 20 cm (c) 10 cm (d) 16 cm
  24. 24.A rectangle is 14 cm long and 8 cm wide. What is its area? (a) 126 sq cm (b) 112 sq cm (c) 44 sq cm (d) 22 sq cm
  25. 25.A rectangle is 8 cm long and 6 cm wide. What is its perimeter? (a) 14 cm (b) 28 cm (c) 48 cm (d) 22 cm
  26. 26.A rectangle is 13 cm long and 2 cm wide. What is its area? (a) 30 sq cm (b) 15 sq cm (c) 26 sq cm (d) 39 sq cm
  27. 27.A rectangle is 20 cm long and 7 cm wide. What is its perimeter? (a) 47 cm (b) 54 cm (c) 27 cm (d) 140 cm
  28. 28.A square has a perimeter of 32 cm. What is its area? (a) 64 sq cm (b) 32 sq cm (c) 81 sq cm (d) 16 sq cm
  29. 29.A rectangle is 13 cm long and 3 cm wide. What is its area? (a) 52 sq cm (b) 16 sq cm (c) 39 sq cm (d) 32 sq cm
  30. 30.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 13 sq cm (b) 45 sq cm (c) 26 sq cm (d) 36 sq cm
  31. 31.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 48 sq cm (b) 56 sq cm (c) 14 sq cm (d) 28 sq cm
  32. 32.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 18 cm (b) 14 cm (c) 9 cm (d) 16 cm
  33. 33.A rectangle has an area of 144 sq cm and a length of 18 cm. What is its width? (a) 16 cm (b) 126 cm (c) 9 cm (d) 8 cm
  34. 34.A rectangle has an area of 40 sq cm and a length of 20 cm. What is its width? (a) 20 cm (b) 4 cm (c) 3 cm (d) 2 cm
  35. 35.A square has a perimeter of 52 cm. What is its area? (a) 26 sq cm (b) 52 sq cm (c) 169 sq cm (d) 196 sq cm
  36. 36.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 56 sq cm (c) 225 sq cm (d) 196 sq cm
  37. 37.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
  38. 38.A rectangle is 20 cm long and 6 cm wide. What is its area? (a) 52 sq cm (b) 120 sq cm (c) 140 sq cm (d) 26 sq cm
  39. 39.A rectangle is 17 cm long and 7 cm wide. What is its area? (a) 48 sq cm (b) 136 sq cm (c) 24 sq cm (d) 119 sq cm
  40. 40.A rectangle has an area of 21 sq cm and a length of 7 cm. What is its width? (a) 14 cm (b) 4 cm (c) 6 cm (d) 3 cm

Answer key

  1. 44 sq cm
  2. 3 cm
  3. 12 sq cm
  4. 70 sq cm
  5. 25 sq cm
  6. 46 cm
  7. 40 cm
  8. 5 cm
  9. 12 cm
  10. 121 sq cm
  11. 36 sq cm
  12. 48 sq cm
  13. 12 cm
  14. 44 cm
  15. 225 sq cm
  16. 209 sq cm
  17. 22 cm
  18. 28 sq cm
  19. 10 cm
  20. 144 sq cm
  21. 100 sq cm
  22. 32 cm
  23. 20 cm
  24. 112 sq cm
  25. 28 cm
  26. 26 sq cm
  27. 54 cm
  28. 64 sq cm
  29. 39 sq cm
  30. 36 sq cm
  31. 48 sq cm
  32. 18 cm
  33. 8 cm
  34. 2 cm
  35. 169 sq cm
  36. 196 sq cm
  37. 68 sq cm
  38. 120 sq cm
  39. 119 sq cm
  40. 3 cm

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