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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 997 · 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 9 cm long and 4 cm wide. What is its area? (a) 26 sq cm (b) 45 sq cm (c) 13 sq cm (d) 36 sq cm
  2. 2.A rectangle is 13 cm long and 11 cm wide. What is its area? (a) 156 sq cm (b) 24 sq cm (c) 143 sq cm (d) 48 sq cm
  3. 3.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 12 cm (c) 8 cm (d) 14 cm
  4. 4.A rectangle is 12 cm long and 3 cm wide. What is its area? (a) 15 sq cm (b) 48 sq cm (c) 36 sq cm (d) 30 sq cm
  5. 5.A rectangle is 14 cm long and 10 cm wide. What is its perimeter? (a) 24 cm (b) 140 cm (c) 38 cm (d) 48 cm
  6. 6.A rectangle is 14 cm long and 3 cm wide. What is its area? (a) 42 sq cm (b) 34 sq cm (c) 56 sq cm (d) 17 sq cm
  7. 7.A rectangle has an area of 77 sq cm and a length of 11 cm. What is its width? (a) 7 cm (b) 66 cm (c) 8 cm (d) 14 cm
  8. 8.A rectangle is 15 cm long and 10 cm wide. What is its area? (a) 150 sq cm (b) 50 sq cm (c) 165 sq cm (d) 25 sq cm
  9. 9.A rectangle is 19 cm long and 11 cm wide. What is its perimeter? (a) 209 cm (b) 60 cm (c) 30 cm (d) 49 cm
  10. 10.A rectangle has an area of 10 sq cm and a length of 5 cm. What is its width? (a) 5 cm (b) 2 cm (c) 3 cm (d) 4 cm
  11. 11.A rectangle is 11 cm long and 8 cm wide. What is its area? (a) 99 sq cm (b) 19 sq cm (c) 88 sq cm (d) 38 sq cm
  12. 12.A rectangle is 13 cm long and 4 cm wide. What is its area? (a) 34 sq cm (b) 52 sq cm (c) 17 sq cm (d) 65 sq cm
  13. 13.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 22 sq cm (c) 144 sq cm (d) 121 sq cm
  14. 14.A rectangle is 14 cm long and 5 cm wide. What is its perimeter? (a) 19 cm (b) 70 cm (c) 38 cm (d) 33 cm
  15. 15.A rectangle is 11 cm long and 9 cm wide. What is its area? (a) 110 sq cm (b) 20 sq cm (c) 99 sq cm (d) 40 sq cm
  16. 16.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 64 sq cm (c) 16 sq cm (d) 32 sq cm
  17. 17.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 22 cm (b) 18 cm (c) 11 cm (d) 28 cm
  18. 18.A rectangle has an area of 66 sq cm and a length of 11 cm. What is its width? (a) 12 cm (b) 7 cm (c) 6 cm (d) 55 cm
  19. 19.A rectangle has an area of 54 sq cm and a length of 18 cm. What is its width? (a) 36 cm (b) 3 cm (c) 6 cm (d) 4 cm
  20. 20.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 10 sq cm (b) 21 sq cm (c) 20 sq cm (d) 28 sq cm
  21. 21.A rectangle has an area of 45 sq cm and a length of 9 cm. What is its width? (a) 6 cm (b) 10 cm (c) 5 cm (d) 36 cm
  22. 22.A rectangle is 15 cm long and 8 cm wide. What is its perimeter? (a) 120 cm (b) 23 cm (c) 38 cm (d) 46 cm
  23. 23.A rectangle has an area of 126 sq cm and a length of 14 cm. What is its width? (a) 9 cm (b) 18 cm (c) 112 cm (d) 10 cm
  24. 24.A rectangle has an area of 130 sq cm and a length of 13 cm. What is its width? (a) 117 cm (b) 10 cm (c) 11 cm (d) 20 cm
  25. 25.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 169 sq cm (c) 26 sq cm (d) 196 sq cm
  26. 26.A rectangle is 10 cm long and 4 cm wide. What is its perimeter? (a) 24 cm (b) 40 cm (c) 14 cm (d) 28 cm
  27. 27.A rectangle is 15 cm long and 9 cm wide. What is its area? (a) 135 sq cm (b) 48 sq cm (c) 24 sq cm (d) 150 sq cm
  28. 28.A rectangle is 11 cm long and 3 cm wide. What is its perimeter? (a) 25 cm (b) 14 cm (c) 33 cm (d) 28 cm
  29. 29.A rectangle is 18 cm long and 4 cm wide. What is its perimeter? (a) 40 cm (b) 22 cm (c) 72 cm (d) 44 cm
  30. 30.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 256 sq cm (c) 30 sq cm (d) 225 sq cm
  31. 31.A rectangle is 17 cm long and 3 cm wide. What is its area? (a) 20 sq cm (b) 51 sq cm (c) 40 sq cm (d) 68 sq cm
  32. 32.A rectangle has an area of 16 sq cm and a length of 8 cm. What is its width? (a) 3 cm (b) 2 cm (c) 4 cm (d) 8 cm
  33. 33.A rectangle is 18 cm long and 5 cm wide. What is its area? (a) 90 sq cm (b) 46 sq cm (c) 23 sq cm (d) 108 sq cm
  34. 34.A rectangle has an area of 156 sq cm and a length of 13 cm. What is its width? (a) 143 cm (b) 24 cm (c) 13 cm (d) 12 cm
  35. 35.A rectangle is 19 cm long and 4 cm wide. What is its area? (a) 46 sq cm (b) 23 sq cm (c) 76 sq cm (d) 95 sq cm
  36. 36.A rectangle is 15 cm long and 6 cm wide. What is its perimeter? (a) 42 cm (b) 36 cm (c) 21 cm (d) 90 cm
  37. 37.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 24 sq cm (b) 40 sq cm (c) 12 sq cm (d) 32 sq cm
  38. 38.A rectangle is 19 cm long and 2 cm wide. What is its area? (a) 42 sq cm (b) 21 sq cm (c) 38 sq cm (d) 57 sq cm
  39. 39.A rectangle has an area of 160 sq cm and a length of 16 cm. What is its width? (a) 10 cm (b) 144 cm (c) 20 cm (d) 11 cm
  40. 40.A rectangle has an area of 30 sq cm and a length of 10 cm. What is its width? (a) 3 cm (b) 4 cm (c) 6 cm (d) 20 cm

Answer key

  1. 36 sq cm
  2. 143 sq cm
  3. 16 cm
  4. 36 sq cm
  5. 48 cm
  6. 42 sq cm
  7. 7 cm
  8. 150 sq cm
  9. 60 cm
  10. 2 cm
  11. 88 sq cm
  12. 52 sq cm
  13. 121 sq cm
  14. 38 cm
  15. 99 sq cm
  16. 64 sq cm
  17. 22 cm
  18. 6 cm
  19. 3 cm
  20. 21 sq cm
  21. 5 cm
  22. 46 cm
  23. 9 cm
  24. 10 cm
  25. 169 sq cm
  26. 28 cm
  27. 135 sq cm
  28. 28 cm
  29. 44 cm
  30. 225 sq cm
  31. 51 sq cm
  32. 2 cm
  33. 90 sq cm
  34. 12 cm
  35. 76 sq cm
  36. 42 cm
  37. 32 sq cm
  38. 38 sq cm
  39. 10 cm
  40. 3 cm

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