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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 584 · 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 10 cm long and 3 cm wide. What is its perimeter? (a) 30 cm (b) 26 cm (c) 13 cm (d) 23 cm
  2. 2.A rectangle is 12 cm long and 2 cm wide. What is its area? (a) 24 sq cm (b) 36 sq cm (c) 28 sq cm (d) 14 sq cm
  3. 3.A rectangle is 8 cm long and 7 cm wide. What is its perimeter? (a) 23 cm (b) 15 cm (c) 30 cm (d) 56 cm
  4. 4.A rectangle is 11 cm long and 2 cm wide. What is its area? (a) 26 sq cm (b) 33 sq cm (c) 22 sq cm (d) 13 sq cm
  5. 5.A rectangle is 11 cm long and 7 cm wide. What is its perimeter? (a) 18 cm (b) 77 cm (c) 29 cm (d) 36 cm
  6. 6.A rectangle has an area of 136 sq cm and a length of 17 cm. What is its width? (a) 119 cm (b) 8 cm (c) 9 cm (d) 16 cm
  7. 7.A rectangle has an area of 30 sq cm and a length of 15 cm. What is its width? (a) 3 cm (b) 4 cm (c) 2 cm (d) 15 cm
  8. 8.A rectangle has an area of 10 sq cm and a length of 5 cm. What is its width? (a) 2 cm (b) 5 cm (c) 4 cm (d) 3 cm
  9. 9.A rectangle is 13 cm long and 6 cm wide. What is its perimeter? (a) 32 cm (b) 19 cm (c) 78 cm (d) 38 cm
  10. 10.A rectangle has an area of 90 sq cm and a length of 10 cm. What is its width? (a) 80 cm (b) 18 cm (c) 10 cm (d) 9 cm
  11. 11.A rectangle is 9 cm long and 4 cm wide. What is its perimeter? (a) 36 cm (b) 13 cm (c) 26 cm (d) 22 cm
  12. 12.A rectangle has an area of 39 sq cm and a length of 13 cm. What is its width? (a) 6 cm (b) 26 cm (c) 4 cm (d) 3 cm
  13. 13.A rectangle has an area of 56 sq cm and a length of 8 cm. What is its width? (a) 7 cm (b) 48 cm (c) 14 cm (d) 8 cm
  14. 14.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 18 cm (b) 15 cm (c) 19 cm (d) 9 cm
  15. 15.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
  16. 16.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 9 sq cm (b) 18 sq cm (c) 24 sq cm (d) 19 sq cm
  17. 17.A rectangle has an area of 36 sq cm and a length of 9 cm. What is its width? (a) 4 cm (b) 27 cm (c) 8 cm (d) 5 cm
  18. 18.A rectangle has an area of 54 sq cm and a length of 9 cm. What is its width? (a) 45 cm (b) 12 cm (c) 7 cm (d) 6 cm
  19. 19.A rectangle has an area of 88 sq cm and a length of 11 cm. What is its width? (a) 8 cm (b) 77 cm (c) 16 cm (d) 9 cm
  20. 20.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
  21. 21.A rectangle is 12 cm long and 11 cm wide. What is its area? (a) 23 sq cm (b) 46 sq cm (c) 144 sq cm (d) 132 sq cm
  22. 22.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
  23. 23.A rectangle has an area of 26 sq cm and a length of 13 cm. What is its width? (a) 13 cm (b) 2 cm (c) 3 cm (d) 4 cm
  24. 24.A rectangle is 14 cm long and 9 cm wide. What is its area? (a) 23 sq cm (b) 126 sq cm (c) 140 sq cm (d) 46 sq cm
  25. 25.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 16 cm (b) 24 cm (c) 20 cm (d) 10 cm
  26. 26.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 40 sq cm (c) 100 sq cm (d) 121 sq cm
  27. 27.A rectangle has an area of 60 sq cm and a length of 12 cm. What is its width? (a) 6 cm (b) 5 cm (c) 10 cm (d) 48 cm
  28. 28.A rectangle has an area of 24 sq cm and a length of 8 cm. What is its width? (a) 6 cm (b) 16 cm (c) 3 cm (d) 4 cm
  29. 29.A rectangle is 10 cm long and 5 cm wide. What is its perimeter? (a) 50 cm (b) 25 cm (c) 30 cm (d) 15 cm
  30. 30.A rectangle is 19 cm long and 6 cm wide. What is its area? (a) 114 sq cm (b) 50 sq cm (c) 133 sq cm (d) 25 sq cm
  31. 31.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 36 sq cm (b) 22 sq cm (c) 30 sq cm (d) 11 sq cm
  32. 32.A rectangle has an area of 34 sq cm and a length of 17 cm. What is its width? (a) 3 cm (b) 17 cm (c) 2 cm (d) 4 cm
  33. 33.A rectangle is 16 cm long and 10 cm wide. What is its area? (a) 176 sq cm (b) 26 sq cm (c) 160 sq cm (d) 52 sq cm
  34. 34.A rectangle has an area of 112 sq cm and a length of 14 cm. What is its width? (a) 98 cm (b) 9 cm (c) 8 cm (d) 16 cm
  35. 35.A rectangle is 11 cm long and 9 cm wide. What is its area? (a) 99 sq cm (b) 20 sq cm (c) 40 sq cm (d) 110 sq cm
  36. 36.A rectangle is 9 cm long and 3 cm wide. What is its perimeter? (a) 27 cm (b) 21 cm (c) 24 cm (d) 12 cm
  37. 37.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 169 sq cm (c) 196 sq cm (d) 26 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) 4 cm (c) 6 cm (d) 24 cm
  39. 39.A rectangle has an area of 130 sq cm and a length of 13 cm. What is its width? (a) 20 cm (b) 11 cm (c) 117 cm (d) 10 cm
  40. 40.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 25 sq cm (c) 36 sq cm (d) 10 sq cm

Answer key

  1. 26 cm
  2. 24 sq cm
  3. 30 cm
  4. 22 sq cm
  5. 36 cm
  6. 8 cm
  7. 2 cm
  8. 2 cm
  9. 38 cm
  10. 9 cm
  11. 26 cm
  12. 3 cm
  13. 7 cm
  14. 18 cm
  15. 64 sq cm
  16. 18 sq cm
  17. 4 cm
  18. 6 cm
  19. 8 cm
  20. 196 sq cm
  21. 132 sq cm
  22. 52 sq cm
  23. 2 cm
  24. 126 sq cm
  25. 20 cm
  26. 100 sq cm
  27. 5 cm
  28. 3 cm
  29. 30 cm
  30. 114 sq cm
  31. 30 sq cm
  32. 2 cm
  33. 160 sq cm
  34. 8 cm
  35. 99 sq cm
  36. 24 cm
  37. 169 sq cm
  38. 3 cm
  39. 10 cm
  40. 25 sq cm

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