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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 628 · 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 square has a perimeter of 48 cm. What is its area? (a) 144 sq cm (b) 48 sq cm (c) 24 sq cm (d) 169 sq cm
  2. 2.A rectangle is 19 cm long and 12 cm wide. What is its area? (a) 228 sq cm (b) 62 sq cm (c) 247 sq cm (d) 31 sq cm
  3. 3.A rectangle is 18 cm long and 8 cm wide. What is its area? (a) 162 sq cm (b) 52 sq cm (c) 26 sq cm (d) 144 sq cm
  4. 4.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
  5. 5.A rectangle is 15 cm long and 12 cm wide. What is its area? (a) 195 sq cm (b) 54 sq cm (c) 27 sq cm (d) 180 sq cm
  6. 6.A rectangle is 12 cm long and 3 cm wide. What is its area? (a) 48 sq cm (b) 30 sq cm (c) 15 sq cm (d) 36 sq cm
  7. 7.A rectangle is 14 cm long and 9 cm wide. What is its area? (a) 46 sq cm (b) 140 sq cm (c) 23 sq cm (d) 126 sq cm
  8. 8.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 12 sq cm (b) 40 sq cm (c) 24 sq cm (d) 32 sq cm
  9. 9.A rectangle has an area of 171 sq cm and a length of 19 cm. What is its width? (a) 18 cm (b) 9 cm (c) 152 cm (d) 10 cm
  10. 10.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 26 sq cm (b) 42 sq cm (c) 49 sq cm (d) 13 sq cm
  11. 11.A rectangle has an area of 160 sq cm and a length of 20 cm. What is its width? (a) 8 cm (b) 16 cm (c) 9 cm (d) 140 cm
  12. 12.A rectangle has an area of 190 sq cm and a length of 19 cm. What is its width? (a) 11 cm (b) 20 cm (c) 10 cm (d) 171 cm
  13. 13.A rectangle is 20 cm long and 9 cm wide. What is its area? (a) 58 sq cm (b) 180 sq cm (c) 29 sq cm (d) 200 sq cm
  14. 14.A rectangle is 10 cm long and 4 cm wide. What is its perimeter? (a) 40 cm (b) 28 cm (c) 24 cm (d) 14 cm
  15. 15.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 48 sq cm (b) 28 sq cm (c) 56 sq cm (d) 14 sq cm
  16. 16.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 20 sq cm (c) 10 sq cm (d) 25 sq cm
  17. 17.A rectangle is 9 cm long and 7 cm wide. What is its perimeter? (a) 16 cm (b) 63 cm (c) 25 cm (d) 32 cm
  18. 18.A rectangle is 17 cm long and 5 cm wide. What is its area? (a) 44 sq cm (b) 85 sq cm (c) 102 sq cm (d) 22 sq cm
  19. 19.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 12 sq cm (b) 42 sq cm (c) 35 sq cm (d) 24 sq cm
  20. 20.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 144 sq cm (c) 121 sq cm (d) 44 sq cm
  21. 21.A rectangle is 18 cm long and 2 cm wide. What is its perimeter? (a) 40 cm (b) 38 cm (c) 20 cm (d) 36 cm
  22. 22.A rectangle has an area of 56 sq cm and a length of 14 cm. What is its width? (a) 5 cm (b) 4 cm (c) 42 cm (d) 8 cm
  23. 23.A rectangle has an area of 119 sq cm and a length of 17 cm. What is its width? (a) 8 cm (b) 7 cm (c) 14 cm (d) 102 cm
  24. 24.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 28 sq cm (c) 196 sq cm (d) 56 sq cm
  25. 25.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 36 sq cm (c) 12 sq cm (d) 27 sq cm
  26. 26.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 60 sq cm (c) 225 sq cm (d) 30 sq cm
  27. 27.A rectangle is 14 cm long and 12 cm wide. What is its perimeter? (a) 168 cm (b) 40 cm (c) 26 cm (d) 52 cm
  28. 28.A rectangle is 12 cm long and 11 cm wide. What is its area? (a) 46 sq cm (b) 23 sq cm (c) 144 sq cm (d) 132 sq cm
  29. 29.A rectangle has an area of 180 sq cm and a length of 20 cm. What is its width? (a) 10 cm (b) 160 cm (c) 9 cm (d) 18 cm
  30. 30.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 18 cm (b) 19 cm (c) 15 cm (d) 9 cm
  31. 31.A rectangle is 12 cm long and 4 cm wide. What is its perimeter? (a) 28 cm (b) 32 cm (c) 48 cm (d) 16 cm
  32. 32.A rectangle is 15 cm long and 2 cm wide. What is its perimeter? (a) 30 cm (b) 34 cm (c) 32 cm (d) 17 cm
  33. 33.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 18 sq cm (c) 9 sq cm (d) 19 sq cm
  34. 34.A rectangle has an area of 39 sq cm and a length of 13 cm. What is its width? (a) 26 cm (b) 6 cm (c) 4 cm (d) 3 cm
  35. 35.A rectangle is 10 cm long and 6 cm wide. What is its area? (a) 60 sq cm (b) 32 sq cm (c) 70 sq cm (d) 16 sq cm
  36. 36.A rectangle is 16 cm long and 8 cm wide. What is its perimeter? (a) 40 cm (b) 128 cm (c) 48 cm (d) 24 cm
  37. 37.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 18 sq cm (c) 100 sq cm (d) 81 sq cm
  38. 38.A rectangle has an area of 50 sq cm and a length of 10 cm. What is its width? (a) 10 cm (b) 40 cm (c) 5 cm (d) 6 cm
  39. 39.A rectangle is 18 cm long and 4 cm wide. What is its area? (a) 44 sq cm (b) 90 sq cm (c) 22 sq cm (d) 72 sq cm
  40. 40.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 21 sq cm (d) 28 sq cm

Answer key

  1. 144 sq cm
  2. 228 sq cm
  3. 144 sq cm
  4. 28 cm
  5. 180 sq cm
  6. 36 sq cm
  7. 126 sq cm
  8. 32 sq cm
  9. 9 cm
  10. 42 sq cm
  11. 8 cm
  12. 10 cm
  13. 180 sq cm
  14. 28 cm
  15. 48 sq cm
  16. 25 sq cm
  17. 32 cm
  18. 85 sq cm
  19. 35 sq cm
  20. 121 sq cm
  21. 40 cm
  22. 4 cm
  23. 7 cm
  24. 196 sq cm
  25. 27 sq cm
  26. 225 sq cm
  27. 52 cm
  28. 132 sq cm
  29. 9 cm
  30. 18 cm
  31. 32 cm
  32. 34 cm
  33. 18 sq cm
  34. 3 cm
  35. 60 sq cm
  36. 48 cm
  37. 81 sq cm
  38. 5 cm
  39. 72 sq cm
  40. 21 sq cm

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