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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 257 · 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 7 cm wide. What is its area? (a) 70 sq cm (b) 80 sq cm (c) 34 sq cm (d) 17 sq cm
  2. 2.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 196 sq cm (c) 56 sq cm (d) 28 sq cm
  3. 3.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 49 sq cm (c) 64 sq cm (d) 14 sq cm
  4. 4.A rectangle is 17 cm long and 2 cm wide. What is its area? (a) 34 sq cm (b) 19 sq cm (c) 38 sq cm (d) 51 sq cm
  5. 5.A rectangle is 18 cm long and 11 cm wide. What is its perimeter? (a) 198 cm (b) 47 cm (c) 29 cm (d) 58 cm
  6. 6.A rectangle has an area of 18 sq cm and a length of 9 cm. What is its width? (a) 9 cm (b) 3 cm (c) 4 cm (d) 2 cm
  7. 7.A rectangle is 19 cm long and 10 cm wide. What is its perimeter? (a) 29 cm (b) 190 cm (c) 48 cm (d) 58 cm
  8. 8.A rectangle is 19 cm long and 2 cm wide. What is its perimeter? (a) 38 cm (b) 42 cm (c) 21 cm (d) 40 cm
  9. 9.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 30 sq cm (b) 11 sq cm (c) 22 sq cm (d) 36 sq cm
  10. 10.A rectangle is 9 cm long and 8 cm wide. What is its area? (a) 72 sq cm (b) 34 sq cm (c) 81 sq cm (d) 17 sq cm
  11. 11.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 48 sq cm (c) 144 sq cm (d) 169 sq cm
  12. 12.A rectangle is 13 cm long and 9 cm wide. What is its area? (a) 130 sq cm (b) 22 sq cm (c) 117 sq cm (d) 44 sq cm
  13. 13.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 36 sq cm (c) 20 sq cm (d) 25 sq cm
  14. 14.A rectangle has an area of 220 sq cm and a length of 20 cm. What is its width? (a) 11 cm (b) 22 cm (c) 200 cm (d) 12 cm
  15. 15.A rectangle has an area of 68 sq cm and a length of 17 cm. What is its width? (a) 51 cm (b) 5 cm (c) 4 cm (d) 8 cm
  16. 16.A rectangle is 20 cm long and 4 cm wide. What is its perimeter? (a) 80 cm (b) 44 cm (c) 24 cm (d) 48 cm
  17. 17.A rectangle has an area of 24 sq cm and a length of 8 cm. What is its width? (a) 16 cm (b) 3 cm (c) 6 cm (d) 4 cm
  18. 18.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 32 sq cm (c) 16 sq cm (d) 64 sq cm
  19. 19.A rectangle is 20 cm long and 12 cm wide. What is its area? (a) 32 sq cm (b) 64 sq cm (c) 240 sq cm (d) 260 sq cm
  20. 20.A rectangle is 13 cm long and 2 cm wide. What is its perimeter? (a) 15 cm (b) 26 cm (c) 30 cm (d) 28 cm
  21. 21.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 21 sq cm (b) 28 sq cm (c) 20 sq cm (d) 10 sq cm
  22. 22.A rectangle is 16 cm long and 2 cm wide. What is its perimeter? (a) 34 cm (b) 32 cm (c) 36 cm (d) 18 cm
  23. 23.A rectangle is 12 cm long and 5 cm wide. What is its area? (a) 17 sq cm (b) 34 sq cm (c) 60 sq cm (d) 72 sq cm
  24. 24.A rectangle has an area of 54 sq cm and a length of 9 cm. What is its width? (a) 45 cm (b) 7 cm (c) 6 cm (d) 12 cm
  25. 25.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 44 sq cm (c) 121 sq cm (d) 22 sq cm
  26. 26.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 13 sq cm (b) 26 sq cm (c) 45 sq cm (d) 36 sq cm
  27. 27.A rectangle is 12 cm long and 4 cm wide. What is its area? (a) 16 sq cm (b) 48 sq cm (c) 60 sq cm (d) 32 sq cm
  28. 28.A rectangle is 11 cm long and 2 cm wide. What is its perimeter? (a) 13 cm (b) 24 cm (c) 22 cm (d) 26 cm
  29. 29.A rectangle is 11 cm long and 4 cm wide. What is its perimeter? (a) 30 cm (b) 26 cm (c) 15 cm (d) 44 cm
  30. 30.A rectangle is 10 cm long and 6 cm wide. What is its area? (a) 32 sq cm (b) 70 sq cm (c) 16 sq cm (d) 60 sq cm
  31. 31.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 81 sq cm (c) 36 sq cm (d) 18 sq cm
  32. 32.A rectangle is 14 cm long and 2 cm wide. What is its area? (a) 42 sq cm (b) 32 sq cm (c) 16 sq cm (d) 28 sq cm
  33. 33.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 256 sq cm (c) 225 sq cm (d) 30 sq cm
  34. 34.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
  35. 35.A rectangle has an area of 45 sq cm and a length of 15 cm. What is its width? (a) 30 cm (b) 4 cm (c) 6 cm (d) 3 cm
  36. 36.A rectangle is 18 cm long and 7 cm wide. What is its perimeter? (a) 126 cm (b) 25 cm (c) 50 cm (d) 43 cm
  37. 37.A rectangle has an area of 48 sq cm and a length of 12 cm. What is its width? (a) 4 cm (b) 5 cm (c) 36 cm (d) 8 cm
  38. 38.A rectangle has an area of 10 sq cm and a length of 5 cm. What is its width? (a) 4 cm (b) 2 cm (c) 3 cm (d) 5 cm
  39. 39.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 24 sq cm (b) 30 sq cm (c) 20 sq cm (d) 10 sq cm
  40. 40.A rectangle is 8 cm long and 7 cm wide. What is its perimeter? (a) 15 cm (b) 56 cm (c) 23 cm (d) 30 cm

Answer key

  1. 70 sq cm
  2. 196 sq cm
  3. 49 sq cm
  4. 34 sq cm
  5. 58 cm
  6. 2 cm
  7. 58 cm
  8. 42 cm
  9. 30 sq cm
  10. 72 sq cm
  11. 144 sq cm
  12. 117 sq cm
  13. 25 sq cm
  14. 11 cm
  15. 4 cm
  16. 48 cm
  17. 3 cm
  18. 64 sq cm
  19. 240 sq cm
  20. 30 cm
  21. 21 sq cm
  22. 36 cm
  23. 60 sq cm
  24. 6 cm
  25. 121 sq cm
  26. 36 sq cm
  27. 48 sq cm
  28. 26 cm
  29. 30 cm
  30. 60 sq cm
  31. 81 sq cm
  32. 28 sq cm
  33. 225 sq cm
  34. 169 sq cm
  35. 3 cm
  36. 50 cm
  37. 4 cm
  38. 2 cm
  39. 24 sq cm
  40. 30 cm

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