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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 42 · 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 14 cm long and 9 cm wide. What is its area? (a) 46 sq cm (b) 23 sq cm (c) 140 sq cm (d) 126 sq cm
  2. 2.A rectangle is 11 cm long and 7 cm wide. What is its perimeter? (a) 18 cm (b) 36 cm (c) 29 cm (d) 77 cm
  3. 3.A rectangle has an area of 30 sq cm and a length of 10 cm. What is its width? (a) 4 cm (b) 3 cm (c) 20 cm (d) 6 cm
  4. 4.A rectangle is 20 cm long and 10 cm wide. What is its area? (a) 30 sq cm (b) 200 sq cm (c) 60 sq cm (d) 220 sq cm
  5. 5.A rectangle is 20 cm long and 12 cm wide. What is its area? (a) 260 sq cm (b) 64 sq cm (c) 240 sq cm (d) 32 sq cm
  6. 6.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
  7. 7.A rectangle is 16 cm long and 7 cm wide. What is its perimeter? (a) 112 cm (b) 23 cm (c) 46 cm (d) 39 cm
  8. 8.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
  9. 9.A square has a perimeter of 36 cm. What is its area? (a) 81 sq cm (b) 18 sq cm (c) 100 sq cm (d) 36 sq cm
  10. 10.A rectangle is 11 cm long and 3 cm wide. What is its area? (a) 33 sq cm (b) 14 sq cm (c) 28 sq cm (d) 44 sq cm
  11. 11.A rectangle is 12 cm long and 7 cm wide. What is its area? (a) 84 sq cm (b) 96 sq cm (c) 19 sq cm (d) 38 sq cm
  12. 12.A rectangle has an area of 143 sq cm and a length of 13 cm. What is its width? (a) 22 cm (b) 11 cm (c) 12 cm (d) 130 cm
  13. 13.A rectangle is 20 cm long and 11 cm wide. What is its area? (a) 240 sq cm (b) 220 sq cm (c) 31 sq cm (d) 62 sq cm
  14. 14.A rectangle has an area of 56 sq cm and a length of 14 cm. What is its width? (a) 42 cm (b) 8 cm (c) 5 cm (d) 4 cm
  15. 15.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 49 sq cm (d) 64 sq cm
  16. 16.A rectangle has an area of 114 sq cm and a length of 19 cm. What is its width? (a) 12 cm (b) 6 cm (c) 7 cm (d) 95 cm
  17. 17.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 22 cm (b) 28 cm (c) 11 cm (d) 18 cm
  18. 18.A rectangle is 17 cm long and 9 cm wide. What is its perimeter? (a) 26 cm (b) 52 cm (c) 153 cm (d) 43 cm
  19. 19.A rectangle has an area of 152 sq cm and a length of 19 cm. What is its width? (a) 16 cm (b) 9 cm (c) 133 cm (d) 8 cm
  20. 20.A rectangle has an area of 48 sq cm and a length of 12 cm. What is its width? (a) 36 cm (b) 4 cm (c) 5 cm (d) 8 cm
  21. 21.A rectangle is 9 cm long and 6 cm wide. What is its area? (a) 15 sq cm (b) 63 sq cm (c) 30 sq cm (d) 54 sq cm
  22. 22.A rectangle is 13 cm long and 8 cm wide. What is its area? (a) 42 sq cm (b) 117 sq cm (c) 21 sq cm (d) 104 sq cm
  23. 23.A rectangle is 9 cm long and 8 cm wide. What is its area? (a) 81 sq cm (b) 17 sq cm (c) 34 sq cm (d) 72 sq cm
  24. 24.A rectangle is 19 cm long and 5 cm wide. What is its area? (a) 95 sq cm (b) 114 sq cm (c) 48 sq cm (d) 24 sq cm
  25. 25.A rectangle is 18 cm long and 5 cm wide. What is its perimeter? (a) 23 cm (b) 41 cm (c) 46 cm (d) 90 cm
  26. 26.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 21 cm (b) 17 cm (c) 20 cm (d) 10 cm
  27. 27.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 52 sq cm (c) 169 sq cm (d) 26 sq cm
  28. 28.A rectangle is 20 cm long and 7 cm wide. What is its area? (a) 54 sq cm (b) 140 sq cm (c) 27 sq cm (d) 160 sq cm
  29. 29.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 225 sq cm (c) 56 sq cm (d) 196 sq cm
  30. 30.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 225 sq cm (c) 60 sq cm (d) 256 sq cm
  31. 31.A rectangle is 13 cm long and 7 cm wide. What is its perimeter? (a) 40 cm (b) 20 cm (c) 91 cm (d) 33 cm
  32. 32.A rectangle is 16 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 48 sq cm (c) 36 sq cm (d) 32 sq cm
  33. 33.A rectangle is 15 cm long and 12 cm wide. What is its area? (a) 195 sq cm (b) 54 sq cm (c) 180 sq cm (d) 27 sq cm
  34. 34.A rectangle has an area of 77 sq cm and a length of 11 cm. What is its width? (a) 8 cm (b) 14 cm (c) 66 cm (d) 7 cm
  35. 35.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 30 sq cm (d) 24 sq cm
  36. 36.A rectangle is 18 cm long and 10 cm wide. What is its perimeter? (a) 46 cm (b) 180 cm (c) 28 cm (d) 56 cm
  37. 37.A rectangle is 13 cm long and 12 cm wide. What is its perimeter? (a) 156 cm (b) 50 cm (c) 38 cm (d) 25 cm
  38. 38.A rectangle is 20 cm long and 4 cm wide. What is its area? (a) 48 sq cm (b) 100 sq cm (c) 80 sq cm (d) 24 sq cm
  39. 39.A rectangle is 11 cm long and 9 cm wide. What is its perimeter? (a) 99 cm (b) 31 cm (c) 20 cm (d) 40 cm
  40. 40.A rectangle has an area of 16 sq cm and a length of 8 cm. What is its width? (a) 8 cm (b) 3 cm (c) 2 cm (d) 4 cm

Answer key

  1. 126 sq cm
  2. 36 cm
  3. 3 cm
  4. 200 sq cm
  5. 240 sq cm
  6. 25 sq cm
  7. 46 cm
  8. 11 cm
  9. 81 sq cm
  10. 33 sq cm
  11. 84 sq cm
  12. 11 cm
  13. 220 sq cm
  14. 4 cm
  15. 49 sq cm
  16. 6 cm
  17. 22 cm
  18. 52 cm
  19. 8 cm
  20. 4 cm
  21. 54 sq cm
  22. 104 sq cm
  23. 72 sq cm
  24. 95 sq cm
  25. 46 cm
  26. 20 cm
  27. 169 sq cm
  28. 140 sq cm
  29. 196 sq cm
  30. 225 sq cm
  31. 40 cm
  32. 32 sq cm
  33. 180 sq cm
  34. 7 cm
  35. 24 sq cm
  36. 56 cm
  37. 50 cm
  38. 80 sq cm
  39. 40 cm
  40. 2 cm

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