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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 344 · 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 17 cm long and 6 cm wide. What is its area? (a) 23 sq cm (b) 102 sq cm (c) 119 sq cm (d) 46 sq cm
  2. 2.A rectangle is 13 cm long and 7 cm wide. What is its area? (a) 20 sq cm (b) 40 sq cm (c) 91 sq cm (d) 104 sq cm
  3. 3.A rectangle has an area of 26 sq cm and a length of 13 cm. What is its width? (a) 4 cm (b) 13 cm (c) 3 cm (d) 2 cm
  4. 4.A rectangle is 13 cm long and 4 cm wide. What is its area? (a) 65 sq cm (b) 52 sq cm (c) 17 sq cm (d) 34 sq cm
  5. 5.A rectangle is 12 cm long and 4 cm wide. What is its area? (a) 16 sq cm (b) 32 sq cm (c) 60 sq cm (d) 48 sq cm
  6. 6.A rectangle has an area of 135 sq cm and a length of 15 cm. What is its width? (a) 18 cm (b) 120 cm (c) 10 cm (d) 9 cm
  7. 7.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 14 sq cm (b) 45 sq cm (c) 54 sq cm (d) 28 sq cm
  8. 8.A rectangle is 17 cm long and 8 cm wide. What is its area? (a) 153 sq cm (b) 136 sq cm (c) 50 sq cm (d) 25 sq cm
  9. 9.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 11 sq cm (b) 22 sq cm (c) 36 sq cm (d) 30 sq cm
  10. 10.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 18 sq cm (c) 12 sq cm (d) 8 sq cm
  11. 11.A rectangle is 9 cm long and 4 cm wide. What is its perimeter? (a) 22 cm (b) 13 cm (c) 26 cm (d) 36 cm
  12. 12.A rectangle has an area of 28 sq cm and a length of 7 cm. What is its width? (a) 4 cm (b) 8 cm (c) 5 cm (d) 21 cm
  13. 13.A rectangle has an area of 36 sq cm and a length of 9 cm. What is its width? (a) 27 cm (b) 4 cm (c) 5 cm (d) 8 cm
  14. 14.A rectangle is 20 cm long and 7 cm wide. What is its area? (a) 140 sq cm (b) 27 sq cm (c) 160 sq cm (d) 54 sq cm
  15. 15.A rectangle is 9 cm long and 6 cm wide. What is its perimeter? (a) 30 cm (b) 15 cm (c) 54 cm (d) 24 cm
  16. 16.A rectangle has an area of 90 sq cm and a length of 10 cm. What is its width? (a) 9 cm (b) 18 cm (c) 80 cm (d) 10 cm
  17. 17.A rectangle is 17 cm long and 4 cm wide. What is its area? (a) 85 sq cm (b) 21 sq cm (c) 42 sq cm (d) 68 sq cm
  18. 18.A rectangle is 14 cm long and 10 cm wide. What is its perimeter? (a) 38 cm (b) 24 cm (c) 48 cm (d) 140 cm
  19. 19.A rectangle is 10 cm long and 9 cm wide. What is its area? (a) 19 sq cm (b) 90 sq cm (c) 38 sq cm (d) 100 sq cm
  20. 20.A rectangle is 11 cm long and 9 cm wide. What is its perimeter? (a) 31 cm (b) 20 cm (c) 40 cm (d) 99 cm
  21. 21.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
  22. 22.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 9 cm (b) 14 cm (c) 16 cm (d) 18 cm
  23. 23.A rectangle is 18 cm long and 4 cm wide. What is its area? (a) 22 sq cm (b) 72 sq cm (c) 90 sq cm (d) 44 sq cm
  24. 24.A rectangle is 14 cm long and 8 cm wide. What is its area? (a) 112 sq cm (b) 126 sq cm (c) 44 sq cm (d) 22 sq cm
  25. 25.A rectangle is 16 cm long and 11 cm wide. What is its perimeter? (a) 54 cm (b) 176 cm (c) 43 cm (d) 27 cm
  26. 26.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
  27. 27.A rectangle has an area of 192 sq cm and a length of 16 cm. What is its width? (a) 24 cm (b) 13 cm (c) 12 cm (d) 176 cm
  28. 28.A rectangle has an area of 117 sq cm and a length of 13 cm. What is its width? (a) 104 cm (b) 18 cm (c) 10 cm (d) 9 cm
  29. 29.A rectangle has an area of 140 sq cm and a length of 20 cm. What is its width? (a) 120 cm (b) 7 cm (c) 14 cm (d) 8 cm
  30. 30.A rectangle has an area of 42 sq cm and a length of 14 cm. What is its width? (a) 28 cm (b) 6 cm (c) 3 cm (d) 4 cm
  31. 31.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 16 sq cm (c) 64 sq cm (d) 81 sq cm
  32. 32.A rectangle is 12 cm long and 6 cm wide. What is its perimeter? (a) 30 cm (b) 18 cm (c) 36 cm (d) 72 cm
  33. 33.A rectangle is 11 cm long and 8 cm wide. What is its perimeter? (a) 30 cm (b) 38 cm (c) 88 cm (d) 19 cm
  34. 34.A rectangle is 19 cm long and 7 cm wide. What is its area? (a) 152 sq cm (b) 26 sq cm (c) 133 sq cm (d) 52 sq cm
  35. 35.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 10 sq cm (c) 25 sq cm (d) 20 sq cm
  36. 36.A rectangle has an area of 98 sq cm and a length of 14 cm. What is its width? (a) 7 cm (b) 14 cm (c) 84 cm (d) 8 cm
  37. 37.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 13 cm (b) 42 cm (c) 20 cm (d) 26 cm
  38. 38.A rectangle is 14 cm long and 11 cm wide. What is its area? (a) 168 sq cm (b) 154 sq cm (c) 25 sq cm (d) 50 sq cm
  39. 39.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 196 sq cm (c) 26 sq cm (d) 169 sq cm
  40. 40.A rectangle is 20 cm long and 8 cm wide. What is its perimeter? (a) 48 cm (b) 160 cm (c) 28 cm (d) 56 cm

Answer key

  1. 102 sq cm
  2. 91 sq cm
  3. 2 cm
  4. 52 sq cm
  5. 48 sq cm
  6. 9 cm
  7. 45 sq cm
  8. 136 sq cm
  9. 30 sq cm
  10. 12 sq cm
  11. 26 cm
  12. 4 cm
  13. 4 cm
  14. 140 sq cm
  15. 30 cm
  16. 9 cm
  17. 68 sq cm
  18. 48 cm
  19. 90 sq cm
  20. 40 cm
  21. 196 sq cm
  22. 18 cm
  23. 72 sq cm
  24. 112 sq cm
  25. 54 cm
  26. 54 sq cm
  27. 12 cm
  28. 9 cm
  29. 7 cm
  30. 3 cm
  31. 64 sq cm
  32. 36 cm
  33. 38 cm
  34. 133 sq cm
  35. 25 sq cm
  36. 7 cm
  37. 26 cm
  38. 154 sq cm
  39. 169 sq cm
  40. 56 cm

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