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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 875 · 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 55 sq cm and a length of 11 cm. What is its width? (a) 10 cm (b) 44 cm (c) 6 cm (d) 5 cm
  2. 2.A rectangle is 14 cm long and 10 cm wide. What is its area? (a) 154 sq cm (b) 140 sq cm (c) 48 sq cm (d) 24 sq cm
  3. 3.A rectangle is 17 cm long and 7 cm wide. What is its perimeter? (a) 24 cm (b) 41 cm (c) 119 cm (d) 48 cm
  4. 4.A rectangle is 10 cm long and 9 cm wide. What is its area? (a) 19 sq cm (b) 38 sq cm (c) 100 sq cm (d) 90 sq cm
  5. 5.A rectangle has an area of 34 sq cm and a length of 17 cm. What is its width? (a) 4 cm (b) 2 cm (c) 3 cm (d) 17 cm
  6. 6.A rectangle is 11 cm long and 7 cm wide. What is its area? (a) 18 sq cm (b) 36 sq cm (c) 88 sq cm (d) 77 sq cm
  7. 7.A rectangle has an area of 108 sq cm and a length of 12 cm. What is its width? (a) 9 cm (b) 18 cm (c) 96 cm (d) 10 cm
  8. 8.A rectangle is 11 cm long and 3 cm wide. What is its perimeter? (a) 25 cm (b) 28 cm (c) 14 cm (d) 33 cm
  9. 9.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 21 cm (b) 20 cm (c) 17 cm (d) 10 cm
  10. 10.A rectangle is 14 cm long and 7 cm wide. What is its area? (a) 98 sq cm (b) 42 sq cm (c) 21 sq cm (d) 112 sq cm
  11. 11.A rectangle is 18 cm long and 9 cm wide. What is its perimeter? (a) 27 cm (b) 162 cm (c) 45 cm (d) 54 cm
  12. 12.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 22 cm (b) 11 cm (c) 19 cm (d) 24 cm
  13. 13.A rectangle is 12 cm long and 8 cm wide. What is its area? (a) 96 sq cm (b) 20 sq cm (c) 108 sq cm (d) 40 sq cm
  14. 14.A rectangle is 13 cm long and 10 cm wide. What is its area? (a) 143 sq cm (b) 23 sq cm (c) 46 sq cm (d) 130 sq cm
  15. 15.A rectangle is 19 cm long and 11 cm wide. What is its area? (a) 60 sq cm (b) 209 sq cm (c) 228 sq cm (d) 30 sq cm
  16. 16.A rectangle has an area of 20 sq cm and a length of 5 cm. What is its width? (a) 8 cm (b) 15 cm (c) 4 cm (d) 5 cm
  17. 17.A square has a perimeter of 52 cm. What is its area? (a) 26 sq cm (b) 52 sq cm (c) 196 sq cm (d) 169 sq cm
  18. 18.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 8 sq cm (b) 12 sq cm (c) 16 sq cm (d) 18 sq cm
  19. 19.A rectangle is 12 cm long and 7 cm wide. What is its area? (a) 38 sq cm (b) 19 sq cm (c) 96 sq cm (d) 84 sq cm
  20. 20.A rectangle is 9 cm long and 7 cm wide. What is its area? (a) 63 sq cm (b) 16 sq cm (c) 72 sq cm (d) 32 sq cm
  21. 21.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 24 sq cm (b) 12 sq cm (c) 42 sq cm (d) 35 sq cm
  22. 22.A rectangle is 15 cm long and 8 cm wide. What is its area? (a) 23 sq cm (b) 135 sq cm (c) 120 sq cm (d) 46 sq cm
  23. 23.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 20 sq cm (c) 100 sq cm (d) 40 sq cm
  24. 24.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 35 sq cm (b) 11 sq cm (c) 22 sq cm (d) 28 sq cm
  25. 25.A rectangle is 13 cm long and 12 cm wide. What is its area? (a) 25 sq cm (b) 50 sq cm (c) 169 sq cm (d) 156 sq cm
  26. 26.A rectangle is 12 cm long and 11 cm wide. What is its area? (a) 132 sq cm (b) 46 sq cm (c) 23 sq cm (d) 144 sq cm
  27. 27.A rectangle has an area of 20 sq cm and a length of 10 cm. What is its width? (a) 4 cm (b) 2 cm (c) 10 cm (d) 3 cm
  28. 28.A rectangle is 20 cm long and 5 cm wide. What is its perimeter? (a) 45 cm (b) 50 cm (c) 25 cm (d) 100 cm
  29. 29.A rectangle has an area of 128 sq cm and a length of 16 cm. What is its width? (a) 9 cm (b) 16 cm (c) 8 cm (d) 112 cm
  30. 30.A rectangle has an area of 30 sq cm and a length of 10 cm. What is its width? (a) 20 cm (b) 6 cm (c) 4 cm (d) 3 cm
  31. 31.A rectangle has an area of 70 sq cm and a length of 10 cm. What is its width? (a) 14 cm (b) 8 cm (c) 60 cm (d) 7 cm
  32. 32.A rectangle has an area of 228 sq cm and a length of 19 cm. What is its width? (a) 13 cm (b) 12 cm (c) 209 cm (d) 24 cm
  33. 33.A rectangle is 20 cm long and 7 cm wide. What is its perimeter? (a) 27 cm (b) 47 cm (c) 54 cm (d) 140 cm
  34. 34.A rectangle is 15 cm long and 5 cm wide. What is its perimeter? (a) 35 cm (b) 40 cm (c) 75 cm (d) 20 cm
  35. 35.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 26 sq cm (b) 13 sq cm (c) 49 sq cm (d) 42 sq cm
  36. 36.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 20 sq cm (c) 25 sq cm (d) 36 sq cm
  37. 37.A rectangle is 14 cm long and 9 cm wide. What is its perimeter? (a) 23 cm (b) 126 cm (c) 46 cm (d) 37 cm
  38. 38.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
  39. 39.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 11 cm (b) 18 cm (c) 22 cm (d) 28 cm
  40. 40.A rectangle is 18 cm long and 11 cm wide. What is its perimeter? (a) 58 cm (b) 198 cm (c) 47 cm (d) 29 cm

Answer key

  1. 5 cm
  2. 140 sq cm
  3. 48 cm
  4. 90 sq cm
  5. 2 cm
  6. 77 sq cm
  7. 9 cm
  8. 28 cm
  9. 20 cm
  10. 98 sq cm
  11. 54 cm
  12. 22 cm
  13. 96 sq cm
  14. 130 sq cm
  15. 209 sq cm
  16. 4 cm
  17. 169 sq cm
  18. 12 sq cm
  19. 84 sq cm
  20. 63 sq cm
  21. 35 sq cm
  22. 120 sq cm
  23. 100 sq cm
  24. 28 sq cm
  25. 156 sq cm
  26. 132 sq cm
  27. 2 cm
  28. 50 cm
  29. 8 cm
  30. 3 cm
  31. 7 cm
  32. 12 cm
  33. 54 cm
  34. 40 cm
  35. 42 sq cm
  36. 25 sq cm
  37. 46 cm
  38. 64 sq cm
  39. 22 cm
  40. 58 cm

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