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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 78 · 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 has an area of 102 sq cm and a length of 17 cm. What is its width? (a) 85 cm (b) 12 cm (c) 6 cm (d) 7 cm
  2. 2.A rectangle is 18 cm long and 9 cm wide. What is its perimeter? (a) 27 cm (b) 45 cm (c) 54 cm (d) 162 cm
  3. 3.A rectangle is 19 cm long and 4 cm wide. What is its area? (a) 23 sq cm (b) 46 sq cm (c) 76 sq cm (d) 95 sq cm
  4. 4.A square has a perimeter of 40 cm. What is its area? (a) 100 sq cm (b) 40 sq cm (c) 20 sq cm (d) 121 sq cm
  5. 5.A rectangle is 15 cm long and 2 cm wide. What is its area? (a) 17 sq cm (b) 45 sq cm (c) 34 sq cm (d) 30 sq cm
  6. 6.A rectangle has an area of 36 sq cm and a length of 18 cm. What is its width? (a) 2 cm (b) 3 cm (c) 4 cm (d) 18 cm
  7. 7.A rectangle has an area of 64 sq cm and a length of 16 cm. What is its width? (a) 8 cm (b) 5 cm (c) 48 cm (d) 4 cm
  8. 8.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
  9. 9.A rectangle has an area of 90 sq cm and a length of 18 cm. What is its width? (a) 6 cm (b) 72 cm (c) 10 cm (d) 5 cm
  10. 10.A rectangle is 9 cm long and 8 cm wide. What is its area? (a) 34 sq cm (b) 17 sq cm (c) 81 sq cm (d) 72 sq cm
  11. 11.A rectangle has an area of 168 sq cm and a length of 14 cm. What is its width? (a) 24 cm (b) 13 cm (c) 154 cm (d) 12 cm
  12. 12.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 121 sq cm (c) 144 sq cm (d) 22 sq cm
  13. 13.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 49 sq cm (c) 14 sq cm (d) 64 sq cm
  14. 14.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 56 sq cm (c) 225 sq cm (d) 196 sq cm
  15. 15.A rectangle has an area of 154 sq cm and a length of 14 cm. What is its width? (a) 22 cm (b) 12 cm (c) 11 cm (d) 140 cm
  16. 16.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 32 sq cm (c) 81 sq cm (d) 64 sq cm
  17. 17.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 22 sq cm (b) 32 sq cm (c) 11 sq cm (d) 24 sq cm
  18. 18.A rectangle is 20 cm long and 12 cm wide. What is its perimeter? (a) 32 cm (b) 52 cm (c) 240 cm (d) 64 cm
  19. 19.A rectangle has an area of 165 sq cm and a length of 15 cm. What is its width? (a) 12 cm (b) 11 cm (c) 150 cm (d) 22 cm
  20. 20.A rectangle has an area of 60 sq cm and a length of 20 cm. What is its width? (a) 4 cm (b) 40 cm (c) 3 cm (d) 6 cm
  21. 21.A rectangle has an area of 110 sq cm and a length of 11 cm. What is its width? (a) 10 cm (b) 20 cm (c) 11 cm (d) 99 cm
  22. 22.A rectangle has an area of 70 sq cm and a length of 10 cm. What is its width? (a) 7 cm (b) 8 cm (c) 60 cm (d) 14 cm
  23. 23.A rectangle is 9 cm long and 2 cm wide. What is its perimeter? (a) 11 cm (b) 20 cm (c) 22 cm (d) 18 cm
  24. 24.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
  25. 25.A rectangle is 16 cm long and 4 cm wide. What is its perimeter? (a) 40 cm (b) 36 cm (c) 64 cm (d) 20 cm
  26. 26.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
  27. 27.A rectangle is 11 cm long and 8 cm wide. What is its area? (a) 19 sq cm (b) 38 sq cm (c) 88 sq cm (d) 99 sq cm
  28. 28.A rectangle is 8 cm long and 4 cm wide. What is its perimeter? (a) 12 cm (b) 32 cm (c) 24 cm (d) 20 cm
  29. 29.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 12 sq cm (b) 24 sq cm (c) 40 sq cm (d) 32 sq cm
  30. 30.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 10 sq cm (c) 20 sq cm (d) 25 sq cm
  31. 31.A rectangle is 14 cm long and 9 cm wide. What is its area? (a) 140 sq cm (b) 23 sq cm (c) 126 sq cm (d) 46 sq cm
  32. 32.A rectangle is 13 cm long and 10 cm wide. What is its perimeter? (a) 46 cm (b) 130 cm (c) 23 cm (d) 36 cm
  33. 33.A rectangle is 18 cm long and 4 cm wide. What is its perimeter? (a) 72 cm (b) 44 cm (c) 40 cm (d) 22 cm
  34. 34.A rectangle is 11 cm long and 5 cm wide. What is its perimeter? (a) 32 cm (b) 16 cm (c) 55 cm (d) 27 cm
  35. 35.A rectangle has an area of 192 sq cm and a length of 16 cm. What is its width? (a) 176 cm (b) 12 cm (c) 13 cm (d) 24 cm
  36. 36.A rectangle is 8 cm long and 7 cm wide. What is its perimeter? (a) 30 cm (b) 15 cm (c) 56 cm (d) 23 cm
  37. 37.A rectangle is 19 cm long and 11 cm wide. What is its area? (a) 209 sq cm (b) 60 sq cm (c) 30 sq cm (d) 228 sq cm
  38. 38.A rectangle has an area of 36 sq cm and a length of 9 cm. What is its width? (a) 27 cm (b) 8 cm (c) 4 cm (d) 5 cm
  39. 39.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 28 cm (b) 11 cm (c) 18 cm (d) 22 cm
  40. 40.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 48 sq cm (c) 24 sq cm (d) 144 sq cm

Answer key

  1. 6 cm
  2. 54 cm
  3. 76 sq cm
  4. 100 sq cm
  5. 30 sq cm
  6. 2 cm
  7. 4 cm
  8. 169 sq cm
  9. 5 cm
  10. 72 sq cm
  11. 12 cm
  12. 121 sq cm
  13. 49 sq cm
  14. 196 sq cm
  15. 11 cm
  16. 64 sq cm
  17. 24 sq cm
  18. 64 cm
  19. 11 cm
  20. 3 cm
  21. 10 cm
  22. 7 cm
  23. 22 cm
  24. 20 cm
  25. 40 cm
  26. 225 sq cm
  27. 88 sq cm
  28. 24 cm
  29. 32 sq cm
  30. 25 sq cm
  31. 126 sq cm
  32. 46 cm
  33. 44 cm
  34. 32 cm
  35. 12 cm
  36. 30 cm
  37. 209 sq cm
  38. 4 cm
  39. 22 cm
  40. 144 sq cm

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