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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 256 · 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 4 cm wide. What is its area? (a) 40 sq cm (b) 50 sq cm (c) 14 sq cm (d) 28 sq cm
  2. 2.A rectangle is 16 cm long and 8 cm wide. What is its perimeter? (a) 128 cm (b) 48 cm (c) 24 cm (d) 40 cm
  3. 3.A rectangle is 10 cm long and 3 cm wide. What is its area? (a) 13 sq cm (b) 26 sq cm (c) 40 sq cm (d) 30 sq cm
  4. 4.A rectangle is 18 cm long and 11 cm wide. What is its perimeter? (a) 198 cm (b) 58 cm (c) 47 cm (d) 29 cm
  5. 5.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 20 sq cm (b) 21 sq cm (c) 28 sq cm (d) 10 sq cm
  6. 6.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 21 sq cm (b) 14 sq cm (c) 18 sq cm (d) 9 sq cm
  7. 7.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
  8. 8.A rectangle is 17 cm long and 11 cm wide. What is its perimeter? (a) 187 cm (b) 28 cm (c) 56 cm (d) 45 cm
  9. 9.A rectangle is 15 cm long and 11 cm wide. What is its area? (a) 52 sq cm (b) 26 sq cm (c) 180 sq cm (d) 165 sq cm
  10. 10.A rectangle has an area of 176 sq cm and a length of 16 cm. What is its width? (a) 22 cm (b) 11 cm (c) 12 cm (d) 160 cm
  11. 11.A rectangle has an area of 96 sq cm and a length of 16 cm. What is its width? (a) 6 cm (b) 12 cm (c) 80 cm (d) 7 cm
  12. 12.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 24 sq cm (b) 42 sq cm (c) 35 sq cm (d) 12 sq cm
  13. 13.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 49 sq cm (c) 36 sq cm (d) 24 sq cm
  14. 14.A rectangle is 13 cm long and 11 cm wide. What is its area? (a) 24 sq cm (b) 156 sq cm (c) 48 sq cm (d) 143 sq cm
  15. 15.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 18 sq cm (c) 36 sq cm (d) 81 sq cm
  16. 16.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 30 cm (b) 22 cm (c) 17 cm (d) 11 cm
  17. 17.A rectangle is 17 cm long and 4 cm wide. What is its perimeter? (a) 38 cm (b) 68 cm (c) 42 cm (d) 21 cm
  18. 18.A rectangle is 10 cm long and 8 cm wide. What is its perimeter? (a) 28 cm (b) 36 cm (c) 80 cm (d) 18 cm
  19. 19.A rectangle is 11 cm long and 6 cm wide. What is its perimeter? (a) 28 cm (b) 17 cm (c) 34 cm (d) 66 cm
  20. 20.A rectangle has an area of 24 sq cm and a length of 12 cm. What is its width? (a) 2 cm (b) 4 cm (c) 12 cm (d) 3 cm
  21. 21.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 45 sq cm (b) 26 sq cm (c) 13 sq cm (d) 36 sq cm
  22. 22.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 196 sq cm (c) 56 sq cm (d) 225 sq cm
  23. 23.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 36 sq cm (b) 11 sq cm (c) 22 sq cm (d) 30 sq cm
  24. 24.A rectangle has an area of 150 sq cm and a length of 15 cm. What is its width? (a) 135 cm (b) 11 cm (c) 20 cm (d) 10 cm
  25. 25.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 22 sq cm (b) 11 sq cm (c) 35 sq cm (d) 28 sq cm
  26. 26.A rectangle is 12 cm long and 3 cm wide. What is its area? (a) 15 sq cm (b) 36 sq cm (c) 48 sq cm (d) 30 sq cm
  27. 27.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 22 sq cm (c) 121 sq cm (d) 144 sq cm
  28. 28.A rectangle has an area of 104 sq cm and a length of 13 cm. What is its width? (a) 16 cm (b) 8 cm (c) 91 cm (d) 9 cm
  29. 29.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 64 sq cm (c) 81 sq cm (d) 32 sq cm
  30. 30.A rectangle is 14 cm long and 2 cm wide. What is its area? (a) 32 sq cm (b) 42 sq cm (c) 16 sq cm (d) 28 sq cm
  31. 31.A rectangle has an area of 220 sq cm and a length of 20 cm. What is its width? (a) 12 cm (b) 11 cm (c) 200 cm (d) 22 cm
  32. 32.A rectangle is 20 cm long and 6 cm wide. What is its area? (a) 26 sq cm (b) 52 sq cm (c) 120 sq cm (d) 140 sq cm
  33. 33.A rectangle has an area of 180 sq cm and a length of 18 cm. What is its width? (a) 20 cm (b) 10 cm (c) 162 cm (d) 11 cm
  34. 34.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 8 cm (b) 12 cm (c) 14 cm (d) 16 cm
  35. 35.A rectangle is 9 cm long and 7 cm wide. What is its perimeter? (a) 32 cm (b) 25 cm (c) 63 cm (d) 16 cm
  36. 36.A rectangle is 9 cm long and 7 cm wide. What is its area? (a) 16 sq cm (b) 63 sq cm (c) 32 sq cm (d) 72 sq cm
  37. 37.A rectangle is 8 cm long and 6 cm wide. What is its perimeter? (a) 14 cm (b) 22 cm (c) 48 cm (d) 28 cm
  38. 38.A rectangle is 19 cm long and 12 cm wide. What is its area? (a) 247 sq cm (b) 62 sq cm (c) 228 sq cm (d) 31 sq cm
  39. 39.A rectangle is 18 cm long and 6 cm wide. What is its area? (a) 48 sq cm (b) 126 sq cm (c) 24 sq cm (d) 108 sq cm
  40. 40.A rectangle has an area of 63 sq cm and a length of 9 cm. What is its width? (a) 7 cm (b) 8 cm (c) 14 cm (d) 54 cm

Answer key

  1. 40 sq cm
  2. 48 cm
  3. 30 sq cm
  4. 58 cm
  5. 21 sq cm
  6. 14 sq cm
  7. 25 sq cm
  8. 56 cm
  9. 165 sq cm
  10. 11 cm
  11. 6 cm
  12. 35 sq cm
  13. 36 sq cm
  14. 143 sq cm
  15. 81 sq cm
  16. 22 cm
  17. 42 cm
  18. 36 cm
  19. 34 cm
  20. 2 cm
  21. 36 sq cm
  22. 196 sq cm
  23. 30 sq cm
  24. 10 cm
  25. 28 sq cm
  26. 36 sq cm
  27. 121 sq cm
  28. 8 cm
  29. 64 sq cm
  30. 28 sq cm
  31. 11 cm
  32. 120 sq cm
  33. 10 cm
  34. 16 cm
  35. 32 cm
  36. 63 sq cm
  37. 28 cm
  38. 228 sq cm
  39. 108 sq cm
  40. 7 cm

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