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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 513 · 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 20 cm long and 3 cm wide. What is its area? (a) 23 sq cm (b) 46 sq cm (c) 60 sq cm (d) 80 sq cm
  2. 2.A rectangle has an area of 228 sq cm and a length of 19 cm. What is its width? (a) 24 cm (b) 12 cm (c) 13 cm (d) 209 cm
  3. 3.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 22 sq cm (b) 36 sq cm (c) 11 sq cm (d) 30 sq cm
  4. 4.A rectangle is 10 cm long and 5 cm wide. What is its area? (a) 60 sq cm (b) 30 sq cm (c) 50 sq cm (d) 15 sq cm
  5. 5.A rectangle has an area of 112 sq cm and a length of 16 cm. What is its width? (a) 96 cm (b) 8 cm (c) 7 cm (d) 14 cm
  6. 6.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 12 sq cm (c) 49 sq cm (d) 36 sq cm
  7. 7.A rectangle is 19 cm long and 8 cm wide. What is its perimeter? (a) 152 cm (b) 54 cm (c) 27 cm (d) 46 cm
  8. 8.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 44 sq cm (c) 121 sq cm (d) 144 sq cm
  9. 9.A rectangle is 14 cm long and 9 cm wide. What is its perimeter? (a) 46 cm (b) 37 cm (c) 23 cm (d) 126 cm
  10. 10.A rectangle has an area of 88 sq cm and a length of 11 cm. What is its width? (a) 16 cm (b) 77 cm (c) 9 cm (d) 8 cm
  11. 11.A rectangle is 9 cm long and 7 cm wide. What is its area? (a) 63 sq cm (b) 16 sq cm (c) 32 sq cm (d) 72 sq cm
  12. 12.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 100 sq cm (c) 81 sq cm (d) 36 sq cm
  13. 13.A rectangle is 12 cm long and 10 cm wide. What is its area? (a) 44 sq cm (b) 120 sq cm (c) 132 sq cm (d) 22 sq cm
  14. 14.A rectangle is 11 cm long and 3 cm wide. What is its area? (a) 14 sq cm (b) 28 sq cm (c) 44 sq cm (d) 33 sq cm
  15. 15.A rectangle is 15 cm long and 8 cm wide. What is its area? (a) 120 sq cm (b) 46 sq cm (c) 135 sq cm (d) 23 sq cm
  16. 16.A rectangle has an area of 39 sq cm and a length of 13 cm. What is its width? (a) 6 cm (b) 4 cm (c) 3 cm (d) 26 cm
  17. 17.A rectangle is 17 cm long and 8 cm wide. What is its perimeter? (a) 25 cm (b) 50 cm (c) 136 cm (d) 42 cm
  18. 18.A rectangle is 8 cm long and 4 cm wide. What is its perimeter? (a) 12 cm (b) 32 cm (c) 20 cm (d) 24 cm
  19. 19.A rectangle has an area of 65 sq cm and a length of 13 cm. What is its width? (a) 52 cm (b) 5 cm (c) 6 cm (d) 10 cm
  20. 20.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 28 cm (b) 22 cm (c) 18 cm (d) 11 cm
  21. 21.A rectangle is 13 cm long and 12 cm wide. What is its perimeter? (a) 156 cm (b) 25 cm (c) 38 cm (d) 50 cm
  22. 22.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 64 sq cm (c) 32 sq cm (d) 16 sq cm
  23. 23.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 30 sq cm (b) 20 sq cm (c) 24 sq cm (d) 10 sq cm
  24. 24.A rectangle is 13 cm long and 8 cm wide. What is its perimeter? (a) 104 cm (b) 34 cm (c) 42 cm (d) 21 cm
  25. 25.A rectangle is 13 cm long and 4 cm wide. What is its perimeter? (a) 17 cm (b) 30 cm (c) 34 cm (d) 52 cm
  26. 26.A rectangle has an area of 72 sq cm and a length of 12 cm. What is its width? (a) 6 cm (b) 60 cm (c) 12 cm (d) 7 cm
  27. 27.A rectangle is 18 cm long and 4 cm wide. What is its perimeter? (a) 72 cm (b) 40 cm (c) 44 cm (d) 22 cm
  28. 28.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
  29. 29.A rectangle has an area of 152 sq cm and a length of 19 cm. What is its width? (a) 16 cm (b) 133 cm (c) 8 cm (d) 9 cm
  30. 30.A rectangle is 14 cm long and 12 cm wide. What is its perimeter? (a) 40 cm (b) 26 cm (c) 52 cm (d) 168 cm
  31. 31.A rectangle is 9 cm long and 8 cm wide. What is its perimeter? (a) 34 cm (b) 26 cm (c) 17 cm (d) 72 cm
  32. 32.A rectangle is 16 cm long and 9 cm wide. What is its area? (a) 50 sq cm (b) 25 sq cm (c) 160 sq cm (d) 144 sq cm
  33. 33.A rectangle is 19 cm long and 9 cm wide. What is its area? (a) 28 sq cm (b) 190 sq cm (c) 171 sq cm (d) 56 sq cm
  34. 34.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
  35. 35.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 18 cm (c) 9 cm (d) 14 cm
  36. 36.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 36 sq cm (b) 26 sq cm (c) 13 sq cm (d) 45 sq cm
  37. 37.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
  38. 38.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 256 sq cm (c) 60 sq cm (d) 225 sq cm
  39. 39.A rectangle is 18 cm long and 3 cm wide. What is its perimeter? (a) 39 cm (b) 21 cm (c) 42 cm (d) 54 cm
  40. 40.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 20 sq cm (c) 40 sq cm (d) 100 sq cm

Answer key

  1. 60 sq cm
  2. 12 cm
  3. 30 sq cm
  4. 50 sq cm
  5. 7 cm
  6. 36 sq cm
  7. 54 cm
  8. 121 sq cm
  9. 46 cm
  10. 8 cm
  11. 63 sq cm
  12. 81 sq cm
  13. 120 sq cm
  14. 33 sq cm
  15. 120 sq cm
  16. 3 cm
  17. 50 cm
  18. 24 cm
  19. 5 cm
  20. 22 cm
  21. 50 cm
  22. 64 sq cm
  23. 24 sq cm
  24. 42 cm
  25. 34 cm
  26. 6 cm
  27. 44 cm
  28. 162 sq cm
  29. 8 cm
  30. 52 cm
  31. 34 cm
  32. 144 sq cm
  33. 171 sq cm
  34. 95 sq cm
  35. 18 cm
  36. 36 sq cm
  37. 18 cm
  38. 225 sq cm
  39. 42 cm
  40. 100 sq cm

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