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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 133 · 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 8 cm long and 7 cm wide. What is its perimeter? (a) 56 cm (b) 30 cm (c) 15 cm (d) 23 cm
  2. 2.A rectangle is 12 cm long and 11 cm wide. What is its perimeter? (a) 132 cm (b) 23 cm (c) 46 cm (d) 35 cm
  3. 3.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
  4. 4.A rectangle is 16 cm long and 6 cm wide. What is its perimeter? (a) 22 cm (b) 96 cm (c) 44 cm (d) 38 cm
  5. 5.A rectangle is 10 cm long and 2 cm wide. What is its area? (a) 24 sq cm (b) 20 sq cm (c) 30 sq cm (d) 12 sq cm
  6. 6.A rectangle has an area of 200 sq cm and a length of 20 cm. What is its width? (a) 20 cm (b) 10 cm (c) 11 cm (d) 180 cm
  7. 7.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 22 sq cm (b) 11 sq cm (c) 28 sq cm (d) 35 sq cm
  8. 8.A rectangle has an area of 45 sq cm and a length of 9 cm. What is its width? (a) 5 cm (b) 6 cm (c) 10 cm (d) 36 cm
  9. 9.A rectangle has an area of 153 sq cm and a length of 17 cm. What is its width? (a) 9 cm (b) 18 cm (c) 136 cm (d) 10 cm
  10. 10.A rectangle is 11 cm long and 2 cm wide. What is its area? (a) 26 sq cm (b) 22 sq cm (c) 13 sq cm (d) 33 sq cm
  11. 11.A rectangle is 15 cm long and 7 cm wide. What is its perimeter? (a) 22 cm (b) 37 cm (c) 44 cm (d) 105 cm
  12. 12.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 24 sq cm (c) 36 sq cm (d) 49 sq cm
  13. 13.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 20 sq cm (b) 28 sq cm (c) 21 sq cm (d) 10 sq cm
  14. 14.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 60 sq cm (c) 225 sq cm (d) 256 sq cm
  15. 15.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 28 sq cm (c) 196 sq cm (d) 225 sq cm
  16. 16.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 25 sq cm (c) 20 sq cm (d) 36 sq cm
  17. 17.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 8 sq cm (b) 16 sq cm (c) 12 sq cm (d) 18 sq cm
  18. 18.A rectangle is 14 cm long and 4 cm wide. What is its perimeter? (a) 56 cm (b) 36 cm (c) 32 cm (d) 18 cm
  19. 19.A rectangle is 17 cm long and 9 cm wide. What is its area? (a) 153 sq cm (b) 26 sq cm (c) 170 sq cm (d) 52 sq cm
  20. 20.A rectangle has an area of 108 sq cm and a length of 18 cm. What is its width? (a) 90 cm (b) 7 cm (c) 6 cm (d) 12 cm
  21. 21.A rectangle has an area of 24 sq cm and a length of 12 cm. What is its width? (a) 3 cm (b) 2 cm (c) 4 cm (d) 12 cm
  22. 22.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 9 cm (b) 18 cm (c) 14 cm (d) 16 cm
  23. 23.A rectangle has an area of 136 sq cm and a length of 17 cm. What is its width? (a) 119 cm (b) 16 cm (c) 8 cm (d) 9 cm
  24. 24.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 24 sq cm (b) 30 sq cm (c) 20 sq cm (d) 10 sq cm
  25. 25.A rectangle has an area of 20 sq cm and a length of 10 cm. What is its width? (a) 10 cm (b) 3 cm (c) 2 cm (d) 4 cm
  26. 26.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 12 sq cm (b) 24 sq cm (c) 35 sq cm (d) 42 sq cm
  27. 27.A rectangle is 9 cm long and 7 cm wide. What is its perimeter? (a) 16 cm (b) 32 cm (c) 25 cm (d) 63 cm
  28. 28.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 28 sq cm (c) 14 sq cm (d) 49 sq cm
  29. 29.A rectangle is 15 cm long and 2 cm wide. What is its area? (a) 17 sq cm (b) 30 sq cm (c) 45 sq cm (d) 34 sq cm
  30. 30.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 22 sq cm (c) 121 sq cm (d) 44 sq cm
  31. 31.A square has a perimeter of 52 cm. What is its area? (a) 169 sq cm (b) 26 sq cm (c) 196 sq cm (d) 52 sq cm
  32. 32.A rectangle is 13 cm long and 12 cm wide. What is its area? (a) 156 sq cm (b) 25 sq cm (c) 169 sq cm (d) 50 sq cm
  33. 33.A rectangle is 16 cm long and 6 cm wide. What is its area? (a) 112 sq cm (b) 44 sq cm (c) 96 sq cm (d) 22 sq cm
  34. 34.A rectangle has an area of 120 sq cm and a length of 15 cm. What is its width? (a) 105 cm (b) 16 cm (c) 9 cm (d) 8 cm
  35. 35.A rectangle is 17 cm long and 8 cm wide. What is its area? (a) 153 sq cm (b) 25 sq cm (c) 136 sq cm (d) 50 sq cm
  36. 36.A rectangle has an area of 220 sq cm and a length of 20 cm. What is its width? (a) 200 cm (b) 11 cm (c) 22 cm (d) 12 cm
  37. 37.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 45 sq cm (d) 54 sq cm
  38. 38.A rectangle has an area of 36 sq cm and a length of 12 cm. What is its width? (a) 3 cm (b) 24 cm (c) 4 cm (d) 6 cm
  39. 39.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
  40. 40.A rectangle has an area of 176 sq cm and a length of 16 cm. What is its width? (a) 160 cm (b) 11 cm (c) 22 cm (d) 12 cm

Answer key

  1. 30 cm
  2. 46 cm
  3. 100 sq cm
  4. 44 cm
  5. 20 sq cm
  6. 10 cm
  7. 28 sq cm
  8. 5 cm
  9. 9 cm
  10. 22 sq cm
  11. 44 cm
  12. 36 sq cm
  13. 21 sq cm
  14. 225 sq cm
  15. 196 sq cm
  16. 25 sq cm
  17. 12 sq cm
  18. 36 cm
  19. 153 sq cm
  20. 6 cm
  21. 2 cm
  22. 18 cm
  23. 8 cm
  24. 24 sq cm
  25. 2 cm
  26. 35 sq cm
  27. 32 cm
  28. 49 sq cm
  29. 30 sq cm
  30. 121 sq cm
  31. 169 sq cm
  32. 156 sq cm
  33. 96 sq cm
  34. 8 cm
  35. 136 sq cm
  36. 11 cm
  37. 45 sq cm
  38. 3 cm
  39. 46 cm
  40. 11 cm

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