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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 832 · 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 16 cm long and 12 cm wide. What is its area? (a) 28 sq cm (b) 192 sq cm (c) 56 sq cm (d) 208 sq cm
  2. 2.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 30 sq cm (b) 36 sq cm (c) 11 sq cm (d) 22 sq cm
  3. 3.A rectangle is 9 cm long and 8 cm wide. What is its perimeter? (a) 72 cm (b) 34 cm (c) 26 cm (d) 17 cm
  4. 4.A rectangle is 19 cm long and 5 cm wide. What is its area? (a) 95 sq cm (b) 24 sq cm (c) 114 sq cm (d) 48 sq cm
  5. 5.A rectangle is 14 cm long and 2 cm wide. What is its area? (a) 28 sq cm (b) 16 sq cm (c) 32 sq cm (d) 42 sq cm
  6. 6.A rectangle is 11 cm long and 3 cm wide. What is its area? (a) 44 sq cm (b) 14 sq cm (c) 28 sq cm (d) 33 sq cm
  7. 7.A rectangle is 9 cm long and 7 cm wide. What is its perimeter? (a) 25 cm (b) 16 cm (c) 63 cm (d) 32 cm
  8. 8.A rectangle has an area of 36 sq cm and a length of 9 cm. What is its width? (a) 8 cm (b) 27 cm (c) 5 cm (d) 4 cm
  9. 9.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 15 cm (b) 9 cm (c) 18 cm (d) 19 cm
  10. 10.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 36 sq cm (c) 24 sq cm (d) 49 sq cm
  11. 11.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 100 sq cm (c) 20 sq cm (d) 40 sq cm
  12. 12.A rectangle is 19 cm long and 8 cm wide. What is its perimeter? (a) 27 cm (b) 152 cm (c) 54 cm (d) 46 cm
  13. 13.A rectangle is 11 cm long and 2 cm wide. What is its area? (a) 26 sq cm (b) 13 sq cm (c) 22 sq cm (d) 33 sq cm
  14. 14.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 196 sq cm (c) 56 sq cm (d) 225 sq cm
  15. 15.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
  16. 16.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 25 sq cm (c) 10 sq cm (d) 20 sq cm
  17. 17.A rectangle has an area of 132 sq cm and a length of 12 cm. What is its width? (a) 12 cm (b) 11 cm (c) 22 cm (d) 120 cm
  18. 18.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 10 cm (c) 20 cm (d) 18 cm
  19. 19.A rectangle is 13 cm long and 8 cm wide. What is its area? (a) 21 sq cm (b) 42 sq cm (c) 117 sq cm (d) 104 sq cm
  20. 20.A rectangle is 17 cm long and 8 cm wide. What is its perimeter? (a) 50 cm (b) 136 cm (c) 42 cm (d) 25 cm
  21. 21.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 8 sq cm (c) 18 sq cm (d) 12 sq cm
  22. 22.A rectangle is 18 cm long and 9 cm wide. What is its area? (a) 180 sq cm (b) 162 sq cm (c) 27 sq cm (d) 54 sq cm
  23. 23.A rectangle is 16 cm long and 6 cm wide. What is its area? (a) 22 sq cm (b) 112 sq cm (c) 96 sq cm (d) 44 sq cm
  24. 24.A rectangle is 10 cm long and 5 cm wide. What is its perimeter? (a) 50 cm (b) 30 cm (c) 15 cm (d) 25 cm
  25. 25.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
  26. 26.A rectangle is 15 cm long and 5 cm wide. What is its perimeter? (a) 20 cm (b) 35 cm (c) 40 cm (d) 75 cm
  27. 27.A rectangle is 12 cm long and 4 cm wide. What is its area? (a) 60 sq cm (b) 16 sq cm (c) 32 sq cm (d) 48 sq cm
  28. 28.A rectangle is 18 cm long and 2 cm wide. What is its area? (a) 54 sq cm (b) 36 sq cm (c) 40 sq cm (d) 20 sq cm
  29. 29.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 64 sq cm (c) 14 sq cm (d) 49 sq cm
  30. 30.A rectangle has an area of 160 sq cm and a length of 20 cm. What is its width? (a) 16 cm (b) 9 cm (c) 140 cm (d) 8 cm
  31. 31.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
  32. 32.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 18 cm (b) 11 cm (c) 22 cm (d) 28 cm
  33. 33.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 28 sq cm (b) 54 sq cm (c) 14 sq cm (d) 45 sq cm
  34. 34.A rectangle has an area of 108 sq cm and a length of 12 cm. What is its width? (a) 10 cm (b) 18 cm (c) 96 cm (d) 9 cm
  35. 35.A rectangle is 12 cm long and 5 cm wide. What is its perimeter? (a) 34 cm (b) 17 cm (c) 60 cm (d) 29 cm
  36. 36.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
  37. 37.A rectangle has an area of 220 sq cm and a length of 20 cm. What is its width? (a) 22 cm (b) 11 cm (c) 200 cm (d) 12 cm
  38. 38.A rectangle is 11 cm long and 5 cm wide. What is its perimeter? (a) 27 cm (b) 16 cm (c) 55 cm (d) 32 cm
  39. 39.A rectangle has an area of 153 sq cm and a length of 17 cm. What is its width? (a) 10 cm (b) 9 cm (c) 136 cm (d) 18 cm
  40. 40.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 48 sq cm (c) 144 sq cm (d) 169 sq cm

Answer key

  1. 192 sq cm
  2. 30 sq cm
  3. 34 cm
  4. 95 sq cm
  5. 28 sq cm
  6. 33 sq cm
  7. 32 cm
  8. 4 cm
  9. 18 cm
  10. 36 sq cm
  11. 100 sq cm
  12. 54 cm
  13. 22 sq cm
  14. 196 sq cm
  15. 121 sq cm
  16. 25 sq cm
  17. 11 cm
  18. 20 cm
  19. 104 sq cm
  20. 50 cm
  21. 12 sq cm
  22. 162 sq cm
  23. 96 sq cm
  24. 30 cm
  25. 4 cm
  26. 40 cm
  27. 48 sq cm
  28. 36 sq cm
  29. 49 sq cm
  30. 8 cm
  31. 84 sq cm
  32. 22 cm
  33. 45 sq cm
  34. 9 cm
  35. 34 cm
  36. 72 sq cm
  37. 11 cm
  38. 32 cm
  39. 9 cm
  40. 144 sq cm

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