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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 774 · 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 8 cm long and 6 cm wide. What is its perimeter? (a) 22 cm (b) 28 cm (c) 14 cm (d) 48 cm
  2. 2.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 22 sq cm (b) 36 sq cm (c) 30 sq cm (d) 11 sq cm
  3. 3.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 225 sq cm (c) 196 sq cm (d) 56 sq cm
  4. 4.A rectangle has an area of 77 sq cm and a length of 11 cm. What is its width? (a) 66 cm (b) 7 cm (c) 8 cm (d) 14 cm
  5. 5.A rectangle is 9 cm long and 3 cm wide. What is its perimeter? (a) 21 cm (b) 27 cm (c) 24 cm (d) 12 cm
  6. 6.A rectangle is 9 cm long and 2 cm wide. What is its perimeter? (a) 18 cm (b) 11 cm (c) 20 cm (d) 22 cm
  7. 7.A rectangle has an area of 240 sq cm and a length of 20 cm. What is its width? (a) 12 cm (b) 13 cm (c) 220 cm (d) 24 cm
  8. 8.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 30 sq cm (c) 225 sq cm (d) 256 sq cm
  9. 9.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
  10. 10.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
  11. 11.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
  12. 12.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 144 sq cm (c) 121 sq cm (d) 22 sq cm
  13. 13.A rectangle is 8 cm long and 4 cm wide. What is its perimeter? (a) 24 cm (b) 20 cm (c) 32 cm (d) 12 cm
  14. 14.A rectangle has an area of 228 sq cm and a length of 19 cm. What is its width? (a) 209 cm (b) 24 cm (c) 13 cm (d) 12 cm
  15. 15.A rectangle has an area of 132 sq cm and a length of 12 cm. What is its width? (a) 120 cm (b) 12 cm (c) 22 cm (d) 11 cm
  16. 16.A rectangle is 11 cm long and 5 cm wide. What is its perimeter? (a) 32 cm (b) 55 cm (c) 27 cm (d) 16 cm
  17. 17.A square has a perimeter of 52 cm. What is its area? (a) 169 sq cm (b) 196 sq cm (c) 52 sq cm (d) 26 sq cm
  18. 18.A rectangle is 11 cm long and 10 cm wide. What is its area? (a) 42 sq cm (b) 110 sq cm (c) 121 sq cm (d) 21 sq cm
  19. 19.A rectangle is 20 cm long and 6 cm wide. What is its perimeter? (a) 46 cm (b) 52 cm (c) 120 cm (d) 26 cm
  20. 20.A rectangle has an area of 38 sq cm and a length of 19 cm. What is its width? (a) 19 cm (b) 2 cm (c) 3 cm (d) 4 cm
  21. 21.A rectangle is 19 cm long and 4 cm wide. What is its perimeter? (a) 42 cm (b) 46 cm (c) 23 cm (d) 76 cm
  22. 22.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 22 cm (b) 30 cm (c) 11 cm (d) 17 cm
  23. 23.A rectangle is 19 cm long and 9 cm wide. What is its area? (a) 171 sq cm (b) 56 sq cm (c) 28 sq cm (d) 190 sq cm
  24. 24.A rectangle is 11 cm long and 4 cm wide. What is its area? (a) 15 sq cm (b) 55 sq cm (c) 30 sq cm (d) 44 sq cm
  25. 25.A rectangle is 13 cm long and 4 cm wide. What is its area? (a) 17 sq cm (b) 34 sq cm (c) 52 sq cm (d) 65 sq cm
  26. 26.A rectangle is 8 cm long and 7 cm wide. What is its perimeter? (a) 23 cm (b) 56 cm (c) 30 cm (d) 15 cm
  27. 27.A rectangle has an area of 36 sq cm and a length of 18 cm. What is its width? (a) 4 cm (b) 3 cm (c) 2 cm (d) 18 cm
  28. 28.A rectangle has an area of 12 sq cm and a length of 4 cm. What is its width? (a) 3 cm (b) 8 cm (c) 4 cm (d) 6 cm
  29. 29.A rectangle is 14 cm long and 9 cm wide. What is its area? (a) 23 sq cm (b) 140 sq cm (c) 126 sq cm (d) 46 sq cm
  30. 30.A rectangle is 12 cm long and 2 cm wide. What is its perimeter? (a) 14 cm (b) 28 cm (c) 26 cm (d) 24 cm
  31. 31.A square has a perimeter of 40 cm. What is its area? (a) 100 sq cm (b) 40 sq cm (c) 121 sq cm (d) 20 sq cm
  32. 32.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
  33. 33.A rectangle has an area of 24 sq cm and a length of 8 cm. What is its width? (a) 4 cm (b) 3 cm (c) 16 cm (d) 6 cm
  34. 34.A rectangle is 10 cm long and 8 cm wide. What is its perimeter? (a) 36 cm (b) 28 cm (c) 80 cm (d) 18 cm
  35. 35.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 24 sq cm (c) 20 sq cm (d) 10 sq cm
  36. 36.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 22 cm (b) 11 cm (c) 28 cm (d) 18 cm
  37. 37.A rectangle is 19 cm long and 3 cm wide. What is its area? (a) 57 sq cm (b) 22 sq cm (c) 44 sq cm (d) 76 sq cm
  38. 38.A rectangle has an area of 143 sq cm and a length of 13 cm. What is its width? (a) 11 cm (b) 130 cm (c) 12 cm (d) 22 cm
  39. 39.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 12 cm (b) 16 cm (c) 14 cm (d) 8 cm
  40. 40.A rectangle has an area of 70 sq cm and a length of 14 cm. What is its width? (a) 56 cm (b) 5 cm (c) 10 cm (d) 6 cm

Answer key

  1. 28 cm
  2. 30 sq cm
  3. 196 sq cm
  4. 7 cm
  5. 24 cm
  6. 22 cm
  7. 12 cm
  8. 225 sq cm
  9. 24 sq cm
  10. 25 sq cm
  11. 64 sq cm
  12. 121 sq cm
  13. 24 cm
  14. 12 cm
  15. 11 cm
  16. 32 cm
  17. 169 sq cm
  18. 110 sq cm
  19. 52 cm
  20. 2 cm
  21. 46 cm
  22. 22 cm
  23. 171 sq cm
  24. 44 sq cm
  25. 52 sq cm
  26. 30 cm
  27. 2 cm
  28. 3 cm
  29. 126 sq cm
  30. 28 cm
  31. 100 sq cm
  32. 81 sq cm
  33. 3 cm
  34. 36 cm
  35. 16 sq cm
  36. 22 cm
  37. 57 sq cm
  38. 11 cm
  39. 16 cm
  40. 5 cm

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