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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 673 · 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 12 cm long and 6 cm wide. What is its area? (a) 84 sq cm (b) 36 sq cm (c) 72 sq cm (d) 18 sq cm
  2. 2.A rectangle is 14 cm long and 11 cm wide. What is its perimeter? (a) 50 cm (b) 154 cm (c) 25 cm (d) 39 cm
  3. 3.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 24 sq cm (c) 49 sq cm (d) 36 sq cm
  4. 4.A rectangle is 10 cm long and 8 cm wide. What is its area? (a) 90 sq cm (b) 36 sq cm (c) 18 sq cm (d) 80 sq cm
  5. 5.A rectangle is 13 cm long and 10 cm wide. What is its perimeter? (a) 130 cm (b) 23 cm (c) 36 cm (d) 46 cm
  6. 6.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 24 cm (b) 19 cm (c) 22 cm (d) 11 cm
  7. 7.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
  8. 8.A rectangle is 14 cm long and 2 cm wide. What is its area? (a) 42 sq cm (b) 28 sq cm (c) 32 sq cm (d) 16 sq cm
  9. 9.A square has a perimeter of 48 cm. What is its area? (a) 144 sq cm (b) 169 sq cm (c) 24 sq cm (d) 48 sq cm
  10. 10.A rectangle has an area of 32 sq cm and a length of 8 cm. What is its width? (a) 4 cm (b) 5 cm (c) 8 cm (d) 24 cm
  11. 11.A rectangle is 20 cm long and 3 cm wide. What is its perimeter? (a) 43 cm (b) 60 cm (c) 23 cm (d) 46 cm
  12. 12.A rectangle has an area of 168 sq cm and a length of 14 cm. What is its width? (a) 24 cm (b) 154 cm (c) 12 cm (d) 13 cm
  13. 13.A rectangle is 9 cm long and 3 cm wide. What is its perimeter? (a) 24 cm (b) 12 cm (c) 27 cm (d) 21 cm
  14. 14.A rectangle has an area of 42 sq cm and a length of 7 cm. What is its width? (a) 7 cm (b) 35 cm (c) 6 cm (d) 12 cm
  15. 15.A rectangle is 15 cm long and 11 cm wide. What is its perimeter? (a) 165 cm (b) 52 cm (c) 26 cm (d) 41 cm
  16. 16.A rectangle is 10 cm long and 4 cm wide. What is its area? (a) 14 sq cm (b) 28 sq cm (c) 50 sq cm (d) 40 sq cm
  17. 17.A rectangle is 18 cm long and 11 cm wide. What is its area? (a) 29 sq cm (b) 198 sq cm (c) 216 sq cm (d) 58 sq cm
  18. 18.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 20 sq cm (c) 10 sq cm (d) 36 sq cm
  19. 19.A rectangle has an area of 26 sq cm and a length of 13 cm. What is its width? (a) 3 cm (b) 4 cm (c) 13 cm (d) 2 cm
  20. 20.A rectangle is 18 cm long and 3 cm wide. What is its perimeter? (a) 21 cm (b) 42 cm (c) 54 cm (d) 39 cm
  21. 21.A rectangle is 19 cm long and 7 cm wide. What is its area? (a) 152 sq cm (b) 26 sq cm (c) 52 sq cm (d) 133 sq cm
  22. 22.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 28 sq cm (c) 56 sq cm (d) 225 sq cm
  23. 23.A rectangle has an area of 54 sq cm and a length of 9 cm. What is its width? (a) 45 cm (b) 6 cm (c) 7 cm (d) 12 cm
  24. 24.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 81 sq cm (c) 100 sq cm (d) 36 sq cm
  25. 25.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 49 sq cm (d) 64 sq cm
  26. 26.A rectangle is 12 cm long and 8 cm wide. What is its perimeter? (a) 32 cm (b) 20 cm (c) 96 cm (d) 40 cm
  27. 27.A rectangle has an area of 90 sq cm and a length of 18 cm. What is its width? (a) 10 cm (b) 72 cm (c) 5 cm (d) 6 cm
  28. 28.A rectangle is 16 cm long and 9 cm wide. What is its perimeter? (a) 50 cm (b) 41 cm (c) 144 cm (d) 25 cm
  29. 29.A rectangle has an area of 96 sq cm and a length of 16 cm. What is its width? (a) 7 cm (b) 6 cm (c) 80 cm (d) 12 cm
  30. 30.A rectangle has an area of 56 sq cm and a length of 8 cm. What is its width? (a) 7 cm (b) 8 cm (c) 14 cm (d) 48 cm
  31. 31.A rectangle has an area of 22 sq cm and a length of 11 cm. What is its width? (a) 4 cm (b) 3 cm (c) 11 cm (d) 2 cm
  32. 32.A rectangle has an area of 20 sq cm and a length of 5 cm. What is its width? (a) 15 cm (b) 4 cm (c) 5 cm (d) 8 cm
  33. 33.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 14 cm (b) 12 cm (c) 8 cm (d) 16 cm
  34. 34.A rectangle has an area of 60 sq cm and a length of 15 cm. What is its width? (a) 4 cm (b) 5 cm (c) 8 cm (d) 45 cm
  35. 35.A rectangle is 18 cm long and 8 cm wide. What is its area? (a) 26 sq cm (b) 162 sq cm (c) 52 sq cm (d) 144 sq cm
  36. 36.A rectangle has an area of 154 sq cm and a length of 14 cm. What is its width? (a) 140 cm (b) 11 cm (c) 12 cm (d) 22 cm
  37. 37.A rectangle is 11 cm long and 2 cm wide. What is its perimeter? (a) 26 cm (b) 13 cm (c) 22 cm (d) 24 cm
  38. 38.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 225 sq cm (c) 60 sq cm (d) 256 sq cm
  39. 39.A rectangle has an area of 176 sq cm and a length of 16 cm. What is its width? (a) 160 cm (b) 22 cm (c) 11 cm (d) 12 cm
  40. 40.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 12 sq cm (b) 16 sq cm (c) 18 sq cm (d) 8 sq cm

Answer key

  1. 72 sq cm
  2. 50 cm
  3. 36 sq cm
  4. 80 sq cm
  5. 46 cm
  6. 22 cm
  7. 36 cm
  8. 28 sq cm
  9. 144 sq cm
  10. 4 cm
  11. 46 cm
  12. 12 cm
  13. 24 cm
  14. 6 cm
  15. 52 cm
  16. 40 sq cm
  17. 198 sq cm
  18. 25 sq cm
  19. 2 cm
  20. 42 cm
  21. 133 sq cm
  22. 196 sq cm
  23. 6 cm
  24. 81 sq cm
  25. 49 sq cm
  26. 40 cm
  27. 5 cm
  28. 50 cm
  29. 6 cm
  30. 7 cm
  31. 2 cm
  32. 4 cm
  33. 16 cm
  34. 4 cm
  35. 144 sq cm
  36. 11 cm
  37. 26 cm
  38. 225 sq cm
  39. 11 cm
  40. 12 sq cm

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