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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 802 · 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 20 cm. What is its area? (a) 10 sq cm (b) 25 sq cm (c) 36 sq cm (d) 20 sq cm
  2. 2.A rectangle has an area of 12 sq cm and a length of 4 cm. What is its width? (a) 8 cm (b) 3 cm (c) 4 cm (d) 6 cm
  3. 3.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 24 sq cm (b) 12 sq cm (c) 42 sq cm (d) 35 sq cm
  4. 4.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 121 sq cm (c) 144 sq cm (d) 22 sq cm
  5. 5.A rectangle is 14 cm long and 3 cm wide. What is its area? (a) 56 sq cm (b) 42 sq cm (c) 17 sq cm (d) 34 sq cm
  6. 6.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 81 sq cm (c) 18 sq cm (d) 36 sq cm
  7. 7.A rectangle is 13 cm long and 7 cm wide. What is its area? (a) 91 sq cm (b) 40 sq cm (c) 104 sq cm (d) 20 sq cm
  8. 8.A rectangle has an area of 34 sq cm and a length of 17 cm. What is its width? (a) 4 cm (b) 3 cm (c) 17 cm (d) 2 cm
  9. 9.A rectangle has an area of 192 sq cm and a length of 16 cm. What is its width? (a) 12 cm (b) 176 cm (c) 13 cm (d) 24 cm
  10. 10.A rectangle is 18 cm long and 6 cm wide. What is its area? (a) 108 sq cm (b) 126 sq cm (c) 48 sq cm (d) 24 sq cm
  11. 11.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
  12. 12.A rectangle has an area of 70 sq cm and a length of 10 cm. What is its width? (a) 8 cm (b) 14 cm (c) 60 cm (d) 7 cm
  13. 13.A rectangle has an area of 48 sq cm and a length of 16 cm. What is its width? (a) 3 cm (b) 6 cm (c) 32 cm (d) 4 cm
  14. 14.A rectangle is 8 cm long and 6 cm wide. What is its perimeter? (a) 28 cm (b) 14 cm (c) 48 cm (d) 22 cm
  15. 15.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 24 sq cm (b) 30 sq cm (c) 20 sq cm (d) 10 sq cm
  16. 16.A rectangle has an area of 162 sq cm and a length of 18 cm. What is its width? (a) 10 cm (b) 18 cm (c) 9 cm (d) 144 cm
  17. 17.A rectangle is 10 cm long and 5 cm wide. What is its perimeter? (a) 30 cm (b) 15 cm (c) 50 cm (d) 25 cm
  18. 18.A rectangle is 10 cm long and 8 cm wide. What is its perimeter? (a) 18 cm (b) 28 cm (c) 80 cm (d) 36 cm
  19. 19.A rectangle is 17 cm long and 12 cm wide. What is its area? (a) 221 sq cm (b) 204 sq cm (c) 58 sq cm (d) 29 sq cm
  20. 20.A rectangle has an area of 209 sq cm and a length of 19 cm. What is its width? (a) 11 cm (b) 12 cm (c) 190 cm (d) 22 cm
  21. 21.A rectangle is 12 cm long and 4 cm wide. What is its perimeter? (a) 48 cm (b) 28 cm (c) 16 cm (d) 32 cm
  22. 22.A rectangle is 16 cm long and 9 cm wide. What is its area? (a) 50 sq cm (b) 160 sq cm (c) 144 sq cm (d) 25 sq cm
  23. 23.A rectangle has an area of 108 sq cm and a length of 18 cm. What is its width? (a) 6 cm (b) 12 cm (c) 90 cm (d) 7 cm
  24. 24.A rectangle has an area of 30 sq cm and a length of 6 cm. What is its width? (a) 6 cm (b) 5 cm (c) 10 cm (d) 24 cm
  25. 25.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 48 sq cm (c) 169 sq cm (d) 144 sq cm
  26. 26.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 36 sq cm (b) 45 sq cm (c) 26 sq cm (d) 13 sq cm
  27. 27.A rectangle is 12 cm long and 3 cm wide. What is its area? (a) 15 sq cm (b) 30 sq cm (c) 48 sq cm (d) 36 sq cm
  28. 28.A rectangle is 20 cm long and 8 cm wide. What is its area? (a) 160 sq cm (b) 28 sq cm (c) 56 sq cm (d) 180 sq cm
  29. 29.A rectangle has an area of 96 sq cm and a length of 12 cm. What is its width? (a) 8 cm (b) 9 cm (c) 84 cm (d) 16 cm
  30. 30.A rectangle is 20 cm long and 12 cm wide. What is its area? (a) 260 sq cm (b) 240 sq cm (c) 32 sq cm (d) 64 sq cm
  31. 31.A rectangle is 20 cm long and 7 cm wide. What is its area? (a) 140 sq cm (b) 27 sq cm (c) 54 sq cm (d) 160 sq cm
  32. 32.A rectangle is 10 cm long and 2 cm wide. What is its perimeter? (a) 24 cm (b) 22 cm (c) 12 cm (d) 20 cm
  33. 33.A rectangle is 16 cm long and 4 cm wide. What is its perimeter? (a) 36 cm (b) 64 cm (c) 40 cm (d) 20 cm
  34. 34.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 32 sq cm (c) 81 sq cm (d) 64 sq cm
  35. 35.A rectangle is 9 cm long and 4 cm wide. What is its perimeter? (a) 13 cm (b) 36 cm (c) 22 cm (d) 26 cm
  36. 36.A rectangle is 17 cm long and 10 cm wide. What is its area? (a) 187 sq cm (b) 170 sq cm (c) 54 sq cm (d) 27 sq cm
  37. 37.A rectangle is 11 cm long and 2 cm wide. What is its area? (a) 26 sq cm (b) 13 sq cm (c) 33 sq cm (d) 22 sq cm
  38. 38.A rectangle is 13 cm long and 8 cm wide. What is its area? (a) 104 sq cm (b) 21 sq cm (c) 42 sq cm (d) 117 sq cm
  39. 39.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
  40. 40.A rectangle has an area of 80 sq cm and a length of 16 cm. What is its width? (a) 64 cm (b) 6 cm (c) 10 cm (d) 5 cm

Answer key

  1. 25 sq cm
  2. 3 cm
  3. 35 sq cm
  4. 121 sq cm
  5. 42 sq cm
  6. 81 sq cm
  7. 91 sq cm
  8. 2 cm
  9. 12 cm
  10. 108 sq cm
  11. 18 sq cm
  12. 7 cm
  13. 3 cm
  14. 28 cm
  15. 24 sq cm
  16. 9 cm
  17. 30 cm
  18. 36 cm
  19. 204 sq cm
  20. 11 cm
  21. 32 cm
  22. 144 sq cm
  23. 6 cm
  24. 5 cm
  25. 144 sq cm
  26. 36 sq cm
  27. 36 sq cm
  28. 160 sq cm
  29. 8 cm
  30. 240 sq cm
  31. 140 sq cm
  32. 24 cm
  33. 40 cm
  34. 64 sq cm
  35. 26 cm
  36. 170 sq cm
  37. 22 sq cm
  38. 104 sq cm
  39. 49 sq cm
  40. 5 cm

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