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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 503 · 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 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
  2. 2.A rectangle has an area of 60 sq cm and a length of 12 cm. What is its width? (a) 6 cm (b) 10 cm (c) 5 cm (d) 48 cm
  3. 3.A rectangle is 18 cm long and 6 cm wide. What is its area? (a) 126 sq cm (b) 48 sq cm (c) 24 sq cm (d) 108 sq cm
  4. 4.A rectangle is 12 cm long and 2 cm wide. What is its area? (a) 36 sq cm (b) 14 sq cm (c) 24 sq cm (d) 28 sq cm
  5. 5.A rectangle is 9 cm long and 8 cm wide. What is its area? (a) 34 sq cm (b) 72 sq cm (c) 17 sq cm (d) 81 sq cm
  6. 6.A rectangle is 17 cm long and 5 cm wide. What is its perimeter? (a) 44 cm (b) 85 cm (c) 39 cm (d) 22 cm
  7. 7.A rectangle is 17 cm long and 9 cm wide. What is its area? (a) 153 sq cm (b) 170 sq cm (c) 52 sq cm (d) 26 sq cm
  8. 8.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 100 sq cm (c) 36 sq cm (d) 81 sq cm
  9. 9.A rectangle is 19 cm long and 11 cm wide. What is its area? (a) 60 sq cm (b) 30 sq cm (c) 228 sq cm (d) 209 sq cm
  10. 10.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 16 sq cm (c) 64 sq cm (d) 32 sq cm
  11. 11.A rectangle is 14 cm long and 8 cm wide. What is its perimeter? (a) 22 cm (b) 44 cm (c) 36 cm (d) 112 cm
  12. 12.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
  13. 13.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 25 sq cm (c) 20 sq cm (d) 10 sq cm
  14. 14.A rectangle is 13 cm long and 8 cm wide. What is its area? (a) 42 sq cm (b) 117 sq cm (c) 104 sq cm (d) 21 sq cm
  15. 15.A rectangle has an area of 216 sq cm and a length of 18 cm. What is its width? (a) 13 cm (b) 24 cm (c) 198 cm (d) 12 cm
  16. 16.A rectangle is 16 cm long and 2 cm wide. What is its area? (a) 36 sq cm (b) 18 sq cm (c) 48 sq cm (d) 32 sq cm
  17. 17.A rectangle has an area of 136 sq cm and a length of 17 cm. What is its width? (a) 9 cm (b) 119 cm (c) 8 cm (d) 16 cm
  18. 18.A rectangle has an area of 104 sq cm and a length of 13 cm. What is its width? (a) 91 cm (b) 9 cm (c) 8 cm (d) 16 cm
  19. 19.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 12 cm (b) 8 cm (c) 16 cm (d) 14 cm
  20. 20.A rectangle is 9 cm long and 5 cm wide. What is its perimeter? (a) 14 cm (b) 45 cm (c) 23 cm (d) 28 cm
  21. 21.A rectangle is 15 cm long and 2 cm wide. What is its area? (a) 34 sq cm (b) 30 sq cm (c) 17 sq cm (d) 45 sq cm
  22. 22.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 22 sq cm (b) 11 sq cm (c) 30 sq cm (d) 36 sq cm
  23. 23.A rectangle has an area of 55 sq cm and a length of 11 cm. What is its width? (a) 10 cm (b) 44 cm (c) 5 cm (d) 6 cm
  24. 24.A rectangle has an area of 28 sq cm and a length of 7 cm. What is its width? (a) 21 cm (b) 4 cm (c) 5 cm (d) 8 cm
  25. 25.A rectangle is 20 cm long and 5 cm wide. What is its area? (a) 120 sq cm (b) 25 sq cm (c) 100 sq cm (d) 50 sq cm
  26. 26.A rectangle is 16 cm long and 7 cm wide. What is its perimeter? (a) 39 cm (b) 112 cm (c) 46 cm (d) 23 cm
  27. 27.A rectangle is 12 cm long and 9 cm wide. What is its perimeter? (a) 42 cm (b) 21 cm (c) 33 cm (d) 108 cm
  28. 28.A rectangle is 17 cm long and 6 cm wide. What is its perimeter? (a) 23 cm (b) 102 cm (c) 40 cm (d) 46 cm
  29. 29.A rectangle has an area of 190 sq cm and a length of 19 cm. What is its width? (a) 20 cm (b) 11 cm (c) 171 cm (d) 10 cm
  30. 30.A rectangle is 17 cm long and 5 cm wide. What is its area? (a) 102 sq cm (b) 44 sq cm (c) 85 sq cm (d) 22 sq cm
  31. 31.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 30 sq cm (c) 225 sq cm (d) 60 sq cm
  32. 32.A rectangle has an area of 128 sq cm and a length of 16 cm. What is its width? (a) 8 cm (b) 16 cm (c) 9 cm (d) 112 cm
  33. 33.A rectangle is 8 cm long and 7 cm wide. What is its perimeter? (a) 56 cm (b) 23 cm (c) 15 cm (d) 30 cm
  34. 34.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 44 sq cm (c) 121 sq cm (d) 22 sq cm
  35. 35.A rectangle is 17 cm long and 10 cm wide. What is its perimeter? (a) 27 cm (b) 170 cm (c) 54 cm (d) 44 cm
  36. 36.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 13 sq cm (b) 45 sq cm (c) 36 sq cm (d) 26 sq cm
  37. 37.A rectangle is 10 cm long and 8 cm wide. What is its area? (a) 90 sq cm (b) 18 sq cm (c) 80 sq cm (d) 36 sq cm
  38. 38.A rectangle is 19 cm long and 7 cm wide. What is its perimeter? (a) 52 cm (b) 45 cm (c) 133 cm (d) 26 cm
  39. 39.A square has a perimeter of 40 cm. What is its area? (a) 100 sq cm (b) 121 sq cm (c) 40 sq cm (d) 20 sq cm
  40. 40.A rectangle has an area of 14 sq cm and a length of 7 cm. What is its width? (a) 7 cm (b) 3 cm (c) 2 cm (d) 4 cm

Answer key

  1. 4 cm
  2. 5 cm
  3. 108 sq cm
  4. 24 sq cm
  5. 72 sq cm
  6. 44 cm
  7. 153 sq cm
  8. 81 sq cm
  9. 209 sq cm
  10. 64 sq cm
  11. 44 cm
  12. 169 sq cm
  13. 25 sq cm
  14. 104 sq cm
  15. 12 cm
  16. 32 sq cm
  17. 8 cm
  18. 8 cm
  19. 16 cm
  20. 28 cm
  21. 30 sq cm
  22. 30 sq cm
  23. 5 cm
  24. 4 cm
  25. 100 sq cm
  26. 46 cm
  27. 42 cm
  28. 46 cm
  29. 10 cm
  30. 85 sq cm
  31. 225 sq cm
  32. 8 cm
  33. 30 cm
  34. 121 sq cm
  35. 54 cm
  36. 36 sq cm
  37. 80 sq cm
  38. 52 cm
  39. 100 sq cm
  40. 2 cm

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