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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 53 · 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 19 cm long and 7 cm wide. What is its area? (a) 52 sq cm (b) 26 sq cm (c) 152 sq cm (d) 133 sq cm
  2. 2.A rectangle has an area of 140 sq cm and a length of 14 cm. What is its width? (a) 126 cm (b) 20 cm (c) 10 cm (d) 11 cm
  3. 3.A rectangle has an area of 216 sq cm and a length of 18 cm. What is its width? (a) 24 cm (b) 198 cm (c) 12 cm (d) 13 cm
  4. 4.A rectangle is 15 cm long and 3 cm wide. What is its perimeter? (a) 18 cm (b) 36 cm (c) 45 cm (d) 33 cm
  5. 5.A square has a perimeter of 52 cm. What is its area? (a) 169 sq cm (b) 196 sq cm (c) 26 sq cm (d) 52 sq cm
  6. 6.A rectangle is 9 cm long and 3 cm wide. What is its perimeter? (a) 21 cm (b) 24 cm (c) 12 cm (d) 27 cm
  7. 7.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 81 sq cm (c) 100 sq cm (d) 18 sq cm
  8. 8.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 28 sq cm (c) 64 sq cm (d) 49 sq cm
  9. 9.A rectangle is 9 cm long and 6 cm wide. What is its area? (a) 15 sq cm (b) 30 sq cm (c) 63 sq cm (d) 54 sq cm
  10. 10.A rectangle has an area of 112 sq cm and a length of 16 cm. What is its width? (a) 7 cm (b) 14 cm (c) 8 cm (d) 96 cm
  11. 11.A rectangle has an area of 30 sq cm and a length of 10 cm. What is its width? (a) 6 cm (b) 3 cm (c) 20 cm (d) 4 cm
  12. 12.A rectangle has an area of 35 sq cm and a length of 7 cm. What is its width? (a) 10 cm (b) 28 cm (c) 6 cm (d) 5 cm
  13. 13.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 16 sq cm (c) 32 sq cm (d) 64 sq cm
  14. 14.A rectangle has an area of 165 sq cm and a length of 15 cm. What is its width? (a) 11 cm (b) 12 cm (c) 22 cm (d) 150 cm
  15. 15.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 16 cm (b) 10 cm (c) 20 cm (d) 24 cm
  16. 16.A rectangle has an area of 24 sq cm and a length of 6 cm. What is its width? (a) 18 cm (b) 4 cm (c) 8 cm (d) 5 cm
  17. 17.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 12 sq cm (c) 36 sq cm (d) 49 sq cm
  18. 18.A rectangle is 13 cm long and 2 cm wide. What is its perimeter? (a) 28 cm (b) 26 cm (c) 30 cm (d) 15 cm
  19. 19.A rectangle has an area of 204 sq cm and a length of 17 cm. What is its width? (a) 187 cm (b) 12 cm (c) 24 cm (d) 13 cm
  20. 20.A rectangle is 10 cm long and 4 cm wide. What is its area? (a) 40 sq cm (b) 14 sq cm (c) 50 sq cm (d) 28 sq cm
  21. 21.A rectangle has an area of 130 sq cm and a length of 13 cm. What is its width? (a) 10 cm (b) 11 cm (c) 117 cm (d) 20 cm
  22. 22.A rectangle has an area of 180 sq cm and a length of 20 cm. What is its width? (a) 9 cm (b) 10 cm (c) 18 cm (d) 160 cm
  23. 23.A rectangle has an area of 28 sq cm and a length of 14 cm. What is its width? (a) 3 cm (b) 14 cm (c) 2 cm (d) 4 cm
  24. 24.A rectangle has an area of 99 sq cm and a length of 11 cm. What is its width? (a) 10 cm (b) 18 cm (c) 88 cm (d) 9 cm
  25. 25.A rectangle is 17 cm long and 11 cm wide. What is its area? (a) 28 sq cm (b) 204 sq cm (c) 56 sq cm (d) 187 sq cm
  26. 26.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 9 sq cm (b) 24 sq cm (c) 18 sq cm (d) 19 sq cm
  27. 27.A rectangle is 20 cm long and 12 cm wide. What is its area? (a) 64 sq cm (b) 32 sq cm (c) 240 sq cm (d) 260 sq cm
  28. 28.A rectangle is 12 cm long and 8 cm wide. What is its perimeter? (a) 20 cm (b) 40 cm (c) 96 cm (d) 32 cm
  29. 29.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
  30. 30.A rectangle is 18 cm long and 9 cm wide. What is its perimeter? (a) 162 cm (b) 54 cm (c) 45 cm (d) 27 cm
  31. 31.A rectangle has an area of 44 sq cm and a length of 11 cm. What is its width? (a) 33 cm (b) 5 cm (c) 8 cm (d) 4 cm
  32. 32.A rectangle is 10 cm long and 9 cm wide. What is its perimeter? (a) 29 cm (b) 19 cm (c) 38 cm (d) 90 cm
  33. 33.A rectangle has an area of 156 sq cm and a length of 13 cm. What is its width? (a) 24 cm (b) 143 cm (c) 12 cm (d) 13 cm
  34. 34.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 169 sq cm (c) 144 sq cm (d) 24 sq cm
  35. 35.A rectangle is 14 cm long and 6 cm wide. What is its perimeter? (a) 40 cm (b) 20 cm (c) 84 cm (d) 34 cm
  36. 36.A rectangle is 20 cm long and 10 cm wide. What is its perimeter? (a) 60 cm (b) 50 cm (c) 30 cm (d) 200 cm
  37. 37.A rectangle is 14 cm long and 3 cm wide. What is its area? (a) 17 sq cm (b) 56 sq cm (c) 34 sq cm (d) 42 sq 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) 31 sq cm (d) 228 sq cm
  39. 39.A rectangle is 14 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 28 sq cm (c) 42 sq cm (d) 32 sq cm
  40. 40.A rectangle is 18 cm long and 10 cm wide. What is its area? (a) 198 sq cm (b) 180 sq cm (c) 28 sq cm (d) 56 sq cm

Answer key

  1. 133 sq cm
  2. 10 cm
  3. 12 cm
  4. 36 cm
  5. 169 sq cm
  6. 24 cm
  7. 81 sq cm
  8. 49 sq cm
  9. 54 sq cm
  10. 7 cm
  11. 3 cm
  12. 5 cm
  13. 64 sq cm
  14. 11 cm
  15. 20 cm
  16. 4 cm
  17. 36 sq cm
  18. 30 cm
  19. 12 cm
  20. 40 sq cm
  21. 10 cm
  22. 9 cm
  23. 2 cm
  24. 9 cm
  25. 187 sq cm
  26. 18 sq cm
  27. 240 sq cm
  28. 40 cm
  29. 44 sq cm
  30. 54 cm
  31. 4 cm
  32. 38 cm
  33. 12 cm
  34. 144 sq cm
  35. 40 cm
  36. 60 cm
  37. 42 sq cm
  38. 228 sq cm
  39. 28 sq cm
  40. 180 sq cm

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