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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 372 · 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 has an area of 110 sq cm and a length of 11 cm. What is its width? (a) 20 cm (b) 99 cm (c) 11 cm (d) 10 cm
  2. 2.A rectangle is 9 cm long and 2 cm wide. What is its perimeter? (a) 22 cm (b) 18 cm (c) 20 cm (d) 11 cm
  3. 3.A rectangle has an area of 99 sq cm and a length of 11 cm. What is its width? (a) 18 cm (b) 88 cm (c) 10 cm (d) 9 cm
  4. 4.A rectangle is 20 cm long and 6 cm wide. What is its area? (a) 140 sq cm (b) 52 sq cm (c) 120 sq cm (d) 26 sq cm
  5. 5.A rectangle has an area of 176 sq cm and a length of 16 cm. What is its width? (a) 11 cm (b) 22 cm (c) 12 cm (d) 160 cm
  6. 6.A rectangle is 10 cm long and 5 cm wide. What is its perimeter? (a) 50 cm (b) 15 cm (c) 30 cm (d) 25 cm
  7. 7.A rectangle is 15 cm long and 2 cm wide. What is its area? (a) 17 sq cm (b) 30 sq cm (c) 45 sq cm (d) 34 sq cm
  8. 8.A rectangle is 8 cm long and 6 cm wide. What is its perimeter? (a) 14 cm (b) 28 cm (c) 48 cm (d) 22 cm
  9. 9.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
  10. 10.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 20 sq cm (b) 30 sq cm (c) 10 sq cm (d) 24 sq cm
  11. 11.A rectangle has an area of 28 sq cm and a length of 7 cm. What is its width? (a) 4 cm (b) 5 cm (c) 8 cm (d) 21 cm
  12. 12.A rectangle has an area of 190 sq cm and a length of 19 cm. What is its width? (a) 10 cm (b) 20 cm (c) 11 cm (d) 171 cm
  13. 13.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
  14. 14.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 64 sq cm (d) 49 sq cm
  15. 15.A rectangle has an area of 35 sq cm and a length of 7 cm. What is its width? (a) 5 cm (b) 6 cm (c) 28 cm (d) 10 cm
  16. 16.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) 4 cm (d) 20 cm
  17. 17.A rectangle has an area of 80 sq cm and a length of 20 cm. What is its width? (a) 5 cm (b) 60 cm (c) 4 cm (d) 8 cm
  18. 18.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 28 cm (b) 22 cm (c) 18 cm (d) 11 cm
  19. 19.A rectangle has an area of 140 sq cm and a length of 20 cm. What is its width? (a) 7 cm (b) 120 cm (c) 8 cm (d) 14 cm
  20. 20.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 9 sq cm (b) 24 sq cm (c) 19 sq cm (d) 18 sq cm
  21. 21.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 22 sq cm (c) 44 sq cm (d) 121 sq cm
  22. 22.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) 4 cm (d) 8 cm
  23. 23.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 18 cm (b) 16 cm (c) 9 cm (d) 14 cm
  24. 24.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 26 sq cm (c) 169 sq cm (d) 52 sq cm
  25. 25.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 28 sq cm (c) 56 sq cm (d) 196 sq cm
  26. 26.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 20 cm (b) 10 cm (c) 24 cm (d) 16 cm
  27. 27.A rectangle is 18 cm long and 11 cm wide. What is its perimeter? (a) 58 cm (b) 29 cm (c) 47 cm (d) 198 cm
  28. 28.A rectangle is 18 cm long and 2 cm wide. What is its perimeter? (a) 40 cm (b) 38 cm (c) 36 cm (d) 20 cm
  29. 29.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 40 sq cm (c) 20 sq cm (d) 100 sq cm
  30. 30.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 24 sq cm (b) 12 sq cm (c) 40 sq cm (d) 32 sq cm
  31. 31.A rectangle is 8 cm long and 4 cm wide. What is its perimeter? (a) 12 cm (b) 24 cm (c) 20 cm (d) 32 cm
  32. 32.A rectangle is 17 cm long and 2 cm wide. What is its perimeter? (a) 36 cm (b) 38 cm (c) 19 cm (d) 34 cm
  33. 33.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 26 sq cm (b) 45 sq cm (c) 36 sq cm (d) 13 sq cm
  34. 34.A rectangle has an area of 95 sq cm and a length of 19 cm. What is its width? (a) 5 cm (b) 6 cm (c) 10 cm (d) 76 cm
  35. 35.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 24 sq cm (c) 144 sq cm (d) 48 sq cm
  36. 36.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
  37. 37.A rectangle has an area of 34 sq cm and a length of 17 cm. What is its width? (a) 2 cm (b) 4 cm (c) 17 cm (d) 3 cm
  38. 38.A rectangle is 19 cm long and 9 cm wide. What is its perimeter? (a) 171 cm (b) 47 cm (c) 28 cm (d) 56 cm
  39. 39.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 256 sq cm (c) 225 sq cm (d) 60 sq cm
  40. 40.A rectangle is 9 cm long and 7 cm wide. What is its perimeter? (a) 16 cm (b) 25 cm (c) 32 cm (d) 63 cm

Answer key

  1. 10 cm
  2. 22 cm
  3. 9 cm
  4. 120 sq cm
  5. 11 cm
  6. 30 cm
  7. 30 sq cm
  8. 28 cm
  9. 25 sq cm
  10. 24 sq cm
  11. 4 cm
  12. 10 cm
  13. 81 sq cm
  14. 49 sq cm
  15. 5 cm
  16. 3 cm
  17. 4 cm
  18. 22 cm
  19. 7 cm
  20. 18 sq cm
  21. 121 sq cm
  22. 4 cm
  23. 18 cm
  24. 169 sq cm
  25. 196 sq cm
  26. 20 cm
  27. 58 cm
  28. 40 cm
  29. 100 sq cm
  30. 32 sq cm
  31. 24 cm
  32. 38 cm
  33. 36 sq cm
  34. 5 cm
  35. 144 sq cm
  36. 180 sq cm
  37. 2 cm
  38. 56 cm
  39. 225 sq cm
  40. 32 cm

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