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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 709 · 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 54 sq cm and a length of 9 cm. What is its width? (a) 12 cm (b) 6 cm (c) 45 cm (d) 7 cm
  2. 2.A rectangle is 18 cm long and 11 cm wide. What is its perimeter? (a) 47 cm (b) 58 cm (c) 29 cm (d) 198 cm
  3. 3.A rectangle is 13 cm long and 3 cm wide. What is its perimeter? (a) 32 cm (b) 29 cm (c) 16 cm (d) 39 cm
  4. 4.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 12 sq cm (b) 36 sq cm (c) 24 sq cm (d) 27 sq cm
  5. 5.A rectangle has an area of 24 sq cm and a length of 6 cm. What is its width? (a) 18 cm (b) 8 cm (c) 4 cm (d) 5 cm
  6. 6.A rectangle has an area of 176 sq cm and a length of 16 cm. What is its width? (a) 11 cm (b) 22 cm (c) 160 cm (d) 12 cm
  7. 7.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
  8. 8.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 18 sq cm (c) 36 sq cm (d) 81 sq cm
  9. 9.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 24 sq cm (c) 48 sq cm (d) 144 sq cm
  10. 10.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 24 sq cm (b) 16 sq cm (c) 20 sq cm (d) 10 sq cm
  11. 11.A square has a perimeter of 28 cm. What is its area? (a) 49 sq cm (b) 64 sq cm (c) 14 sq cm (d) 28 sq cm
  12. 12.A rectangle is 15 cm long and 10 cm wide. What is its area? (a) 165 sq cm (b) 50 sq cm (c) 25 sq cm (d) 150 sq cm
  13. 13.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 20 sq cm (c) 10 sq cm (d) 36 sq cm
  14. 14.A rectangle is 18 cm long and 2 cm wide. What is its perimeter? (a) 20 cm (b) 38 cm (c) 36 cm (d) 40 cm
  15. 15.A rectangle is 9 cm long and 8 cm wide. What is its area? (a) 17 sq cm (b) 81 sq cm (c) 34 sq cm (d) 72 sq cm
  16. 16.A rectangle has an area of 120 sq cm and a length of 15 cm. What is its width? (a) 9 cm (b) 16 cm (c) 105 cm (d) 8 cm
  17. 17.A rectangle is 15 cm long and 2 cm wide. What is its area? (a) 45 sq cm (b) 17 sq cm (c) 34 sq cm (d) 30 sq cm
  18. 18.A rectangle has an area of 108 sq cm and a length of 18 cm. What is its width? (a) 12 cm (b) 6 cm (c) 7 cm (d) 90 cm
  19. 19.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
  20. 20.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 121 sq cm (c) 144 sq cm (d) 44 sq cm
  21. 21.A rectangle is 16 cm long and 4 cm wide. What is its perimeter? (a) 20 cm (b) 64 cm (c) 36 cm (d) 40 cm
  22. 22.A rectangle is 14 cm long and 7 cm wide. What is its area? (a) 112 sq cm (b) 21 sq cm (c) 98 sq cm (d) 42 sq cm
  23. 23.A rectangle has an area of 140 sq cm and a length of 14 cm. What is its width? (a) 126 cm (b) 20 cm (c) 11 cm (d) 10 cm
  24. 24.A rectangle is 11 cm long and 10 cm wide. What is its area? (a) 121 sq cm (b) 42 sq cm (c) 110 sq cm (d) 21 sq cm
  25. 25.A rectangle has an area of 60 sq cm and a length of 20 cm. What is its width? (a) 3 cm (b) 4 cm (c) 40 cm (d) 6 cm
  26. 26.A rectangle has an area of 140 sq cm and a length of 20 cm. What is its width? (a) 14 cm (b) 8 cm (c) 120 cm (d) 7 cm
  27. 27.A rectangle is 17 cm long and 3 cm wide. What is its perimeter? (a) 20 cm (b) 40 cm (c) 51 cm (d) 37 cm
  28. 28.A rectangle is 20 cm long and 6 cm wide. What is its perimeter? (a) 46 cm (b) 26 cm (c) 120 cm (d) 52 cm
  29. 29.A rectangle has an area of 240 sq cm and a length of 20 cm. What is its width? (a) 13 cm (b) 220 cm (c) 24 cm (d) 12 cm
  30. 30.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 19 sq cm (b) 24 sq cm (c) 18 sq cm (d) 9 sq cm
  31. 31.A rectangle is 14 cm long and 11 cm wide. What is its area? (a) 25 sq cm (b) 50 sq cm (c) 168 sq cm (d) 154 sq cm
  32. 32.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 24 sq cm (c) 36 sq cm (d) 12 sq cm
  33. 33.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 10 cm (b) 17 cm (c) 21 cm (d) 20 cm
  34. 34.A square has a perimeter of 32 cm. What is its area? (a) 64 sq cm (b) 16 sq cm (c) 81 sq cm (d) 32 sq cm
  35. 35.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
  36. 36.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 24 cm (b) 16 cm (c) 20 cm (d) 10 cm
  37. 37.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 28 sq cm (c) 225 sq cm (d) 196 sq cm
  38. 38.A rectangle has an area of 136 sq cm and a length of 17 cm. What is its width? (a) 119 cm (b) 9 cm (c) 16 cm (d) 8 cm
  39. 39.A rectangle is 16 cm long and 5 cm wide. What is its area? (a) 42 sq cm (b) 96 sq cm (c) 80 sq cm (d) 21 sq cm
  40. 40.A rectangle has an area of 91 sq cm and a length of 13 cm. What is its width? (a) 78 cm (b) 8 cm (c) 14 cm (d) 7 cm

Answer key

  1. 6 cm
  2. 58 cm
  3. 32 cm
  4. 27 sq cm
  5. 4 cm
  6. 11 cm
  7. 36 sq cm
  8. 81 sq cm
  9. 144 sq cm
  10. 16 sq cm
  11. 49 sq cm
  12. 150 sq cm
  13. 25 sq cm
  14. 40 cm
  15. 72 sq cm
  16. 8 cm
  17. 30 sq cm
  18. 6 cm
  19. 24 sq cm
  20. 121 sq cm
  21. 40 cm
  22. 98 sq cm
  23. 10 cm
  24. 110 sq cm
  25. 3 cm
  26. 7 cm
  27. 40 cm
  28. 52 cm
  29. 12 cm
  30. 18 sq cm
  31. 154 sq cm
  32. 36 sq cm
  33. 20 cm
  34. 64 sq cm
  35. 16 cm
  36. 20 cm
  37. 196 sq cm
  38. 8 cm
  39. 80 sq cm
  40. 7 cm

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