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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 234 · 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 18 cm long and 12 cm wide. What is its area? (a) 216 sq cm (b) 60 sq cm (c) 30 sq cm (d) 234 sq cm
  2. 2.A rectangle is 19 cm long and 6 cm wide. What is its area? (a) 25 sq cm (b) 50 sq cm (c) 114 sq cm (d) 133 sq cm
  3. 3.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 144 sq cm (c) 22 sq cm (d) 121 sq cm
  4. 4.A rectangle has an area of 12 sq cm and a length of 6 cm. What is its width? (a) 6 cm (b) 4 cm (c) 3 cm (d) 2 cm
  5. 5.A rectangle is 15 cm long and 5 cm wide. What is its area? (a) 40 sq cm (b) 20 sq cm (c) 90 sq cm (d) 75 sq cm
  6. 6.A rectangle has an area of 45 sq cm and a length of 15 cm. What is its width? (a) 6 cm (b) 30 cm (c) 4 cm (d) 3 cm
  7. 7.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 100 sq cm (c) 81 sq cm (d) 18 sq cm
  8. 8.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 14 sq cm (b) 9 sq cm (c) 18 sq cm (d) 21 sq cm
  9. 9.A rectangle has an area of 165 sq cm and a length of 15 cm. What is its width? (a) 11 cm (b) 150 cm (c) 22 cm (d) 12 cm
  10. 10.A rectangle has an area of 154 sq cm and a length of 14 cm. What is its width? (a) 140 cm (b) 11 cm (c) 22 cm (d) 12 cm
  11. 11.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 64 sq cm (c) 28 sq cm (d) 49 sq cm
  12. 12.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 225 sq cm (c) 60 sq cm (d) 256 sq cm
  13. 13.A rectangle has an area of 21 sq cm and a length of 7 cm. What is its width? (a) 14 cm (b) 4 cm (c) 3 cm (d) 6 cm
  14. 14.A rectangle is 18 cm long and 10 cm wide. What is its perimeter? (a) 56 cm (b) 28 cm (c) 46 cm (d) 180 cm
  15. 15.A rectangle is 11 cm long and 5 cm wide. What is its area? (a) 32 sq cm (b) 66 sq cm (c) 55 sq cm (d) 16 sq cm
  16. 16.A rectangle has an area of 51 sq cm and a length of 17 cm. What is its width? (a) 3 cm (b) 6 cm (c) 4 cm (d) 34 cm
  17. 17.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 28 sq cm (c) 196 sq cm (d) 225 sq cm
  18. 18.A rectangle has an area of 70 sq cm and a length of 10 cm. What is its width? (a) 8 cm (b) 60 cm (c) 14 cm (d) 7 cm
  19. 19.A rectangle is 16 cm long and 5 cm wide. What is its area? (a) 80 sq cm (b) 21 sq cm (c) 96 sq cm (d) 42 sq cm
  20. 20.A rectangle is 8 cm long and 5 cm wide. What is its perimeter? (a) 26 cm (b) 21 cm (c) 13 cm (d) 40 cm
  21. 21.A rectangle has an area of 96 sq cm and a length of 16 cm. What is its width? (a) 12 cm (b) 7 cm (c) 6 cm (d) 80 cm
  22. 22.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
  23. 23.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 10 cm (b) 18 cm (c) 16 cm (d) 20 cm
  24. 24.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 30 sq cm (b) 36 sq cm (c) 22 sq cm (d) 11 sq cm
  25. 25.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 22 cm (b) 11 cm (c) 24 cm (d) 19 cm
  26. 26.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
  27. 27.A rectangle is 11 cm long and 2 cm wide. What is its area? (a) 13 sq cm (b) 26 sq cm (c) 22 sq cm (d) 33 sq cm
  28. 28.A rectangle has an area of 156 sq cm and a length of 13 cm. What is its width? (a) 143 cm (b) 13 cm (c) 24 cm (d) 12 cm
  29. 29.A rectangle is 11 cm long and 3 cm wide. What is its area? (a) 33 sq cm (b) 14 sq cm (c) 44 sq cm (d) 28 sq cm
  30. 30.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 10 sq cm (c) 25 sq cm (d) 20 sq cm
  31. 31.A rectangle is 20 cm long and 10 cm wide. What is its area? (a) 220 sq cm (b) 30 sq cm (c) 60 sq cm (d) 200 sq cm
  32. 32.A rectangle is 17 cm long and 7 cm wide. What is its area? (a) 136 sq cm (b) 24 sq cm (c) 48 sq cm (d) 119 sq cm
  33. 33.A rectangle is 18 cm long and 9 cm wide. What is its perimeter? (a) 27 cm (b) 54 cm (c) 45 cm (d) 162 cm
  34. 34.A rectangle is 10 cm long and 6 cm wide. What is its area? (a) 70 sq cm (b) 60 sq cm (c) 32 sq cm (d) 16 sq cm
  35. 35.A square has a perimeter of 48 cm. What is its area? (a) 144 sq cm (b) 169 sq cm (c) 24 sq cm (d) 48 sq cm
  36. 36.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 19 cm (b) 9 cm (c) 15 cm (d) 18 cm
  37. 37.A rectangle has an area of 6 sq cm and a length of 3 cm. What is its width? (a) 2 cm (b) 3 cm (c) 4 cm (d) 1 cm
  38. 38.A rectangle is 14 cm long and 12 cm wide. What is its area? (a) 168 sq cm (b) 26 sq cm (c) 52 sq cm (d) 182 sq cm
  39. 39.A square has a perimeter of 40 cm. What is its area? (a) 100 sq cm (b) 40 sq cm (c) 20 sq cm (d) 121 sq cm
  40. 40.A rectangle is 19 cm long and 4 cm wide. What is its area? (a) 95 sq cm (b) 46 sq cm (c) 76 sq cm (d) 23 sq cm

Answer key

  1. 216 sq cm
  2. 114 sq cm
  3. 121 sq cm
  4. 2 cm
  5. 75 sq cm
  6. 3 cm
  7. 81 sq cm
  8. 14 sq cm
  9. 11 cm
  10. 11 cm
  11. 49 sq cm
  12. 225 sq cm
  13. 3 cm
  14. 56 cm
  15. 55 sq cm
  16. 3 cm
  17. 196 sq cm
  18. 7 cm
  19. 80 sq cm
  20. 26 cm
  21. 6 cm
  22. 169 sq cm
  23. 20 cm
  24. 30 sq cm
  25. 22 cm
  26. 36 sq cm
  27. 22 sq cm
  28. 12 cm
  29. 33 sq cm
  30. 25 sq cm
  31. 200 sq cm
  32. 119 sq cm
  33. 54 cm
  34. 60 sq cm
  35. 144 sq cm
  36. 18 cm
  37. 2 cm
  38. 168 sq cm
  39. 100 sq cm
  40. 76 sq cm

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