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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 501 · 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 20 cm long and 4 cm wide. What is its area? (a) 24 sq cm (b) 48 sq cm (c) 100 sq cm (d) 80 sq cm
  2. 2.A rectangle is 12 cm long and 10 cm wide. What is its area? (a) 120 sq cm (b) 22 sq cm (c) 44 sq cm (d) 132 sq cm
  3. 3.A rectangle has an area of 40 sq cm and a length of 8 cm. What is its width? (a) 6 cm (b) 10 cm (c) 32 cm (d) 5 cm
  4. 4.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 25 sq cm (c) 10 sq cm (d) 36 sq cm
  5. 5.A rectangle has an area of 72 sq cm and a length of 18 cm. What is its width? (a) 54 cm (b) 8 cm (c) 4 cm (d) 5 cm
  6. 6.A square has a perimeter of 52 cm. What is its area? (a) 169 sq cm (b) 52 sq cm (c) 196 sq cm (d) 26 sq cm
  7. 7.A rectangle is 9 cm long and 2 cm wide. What is its perimeter? (a) 11 cm (b) 20 cm (c) 18 cm (d) 22 cm
  8. 8.A square has a perimeter of 24 cm. What is its area? (a) 36 sq cm (b) 49 sq cm (c) 24 sq cm (d) 12 sq cm
  9. 9.A rectangle has an area of 15 sq cm and a length of 5 cm. What is its width? (a) 3 cm (b) 6 cm (c) 10 cm (d) 4 cm
  10. 10.A rectangle is 11 cm long and 4 cm wide. What is its perimeter? (a) 30 cm (b) 26 cm (c) 15 cm (d) 44 cm
  11. 11.A rectangle has an area of 144 sq cm and a length of 16 cm. What is its width? (a) 10 cm (b) 9 cm (c) 18 cm (d) 128 cm
  12. 12.A rectangle is 11 cm long and 7 cm wide. What is its area? (a) 77 sq cm (b) 18 sq cm (c) 36 sq cm (d) 88 sq cm
  13. 13.A rectangle has an area of 60 sq cm and a length of 12 cm. What is its width? (a) 5 cm (b) 10 cm (c) 6 cm (d) 48 cm
  14. 14.A rectangle is 19 cm long and 12 cm wide. What is its perimeter? (a) 62 cm (b) 228 cm (c) 31 cm (d) 50 cm
  15. 15.A rectangle has an area of 228 sq cm and a length of 19 cm. What is its width? (a) 209 cm (b) 24 cm (c) 13 cm (d) 12 cm
  16. 16.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 42 cm (b) 20 cm (c) 13 cm (d) 26 cm
  17. 17.A rectangle is 9 cm long and 8 cm wide. What is its area? (a) 72 sq cm (b) 17 sq cm (c) 81 sq cm (d) 34 sq cm
  18. 18.A rectangle is 15 cm long and 2 cm wide. What is its perimeter? (a) 34 cm (b) 32 cm (c) 17 cm (d) 30 cm
  19. 19.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 144 sq cm (c) 24 sq cm (d) 169 sq cm
  20. 20.A rectangle has an area of 45 sq cm and a length of 9 cm. What is its width? (a) 10 cm (b) 5 cm (c) 6 cm (d) 36 cm
  21. 21.A rectangle is 14 cm long and 5 cm wide. What is its perimeter? (a) 70 cm (b) 33 cm (c) 38 cm (d) 19 cm
  22. 22.A rectangle is 10 cm long and 6 cm wide. What is its area? (a) 70 sq cm (b) 32 sq cm (c) 16 sq cm (d) 60 sq cm
  23. 23.A rectangle is 16 cm long and 7 cm wide. What is its area? (a) 46 sq cm (b) 23 sq cm (c) 128 sq cm (d) 112 sq cm
  24. 24.A rectangle has an area of 126 sq cm and a length of 14 cm. What is its width? (a) 112 cm (b) 9 cm (c) 10 cm (d) 18 cm
  25. 25.A rectangle is 11 cm long and 7 cm wide. What is its perimeter? (a) 29 cm (b) 18 cm (c) 36 cm (d) 77 cm
  26. 26.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 12 sq cm (c) 27 sq cm (d) 36 sq cm
  27. 27.A rectangle has an area of 18 sq cm and a length of 6 cm. What is its width? (a) 12 cm (b) 6 cm (c) 3 cm (d) 4 cm
  28. 28.A rectangle has an area of 56 sq cm and a length of 14 cm. What is its width? (a) 8 cm (b) 42 cm (c) 5 cm (d) 4 cm
  29. 29.A rectangle is 10 cm long and 2 cm wide. What is its perimeter? (a) 12 cm (b) 20 cm (c) 24 cm (d) 22 cm
  30. 30.A rectangle has an area of 110 sq cm and a length of 11 cm. What is its width? (a) 10 cm (b) 11 cm (c) 20 cm (d) 99 cm
  31. 31.A rectangle is 17 cm long and 4 cm wide. What is its perimeter? (a) 38 cm (b) 21 cm (c) 42 cm (d) 68 cm
  32. 32.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 12 cm (b) 8 cm (c) 16 cm (d) 14 cm
  33. 33.A rectangle is 20 cm long and 4 cm wide. What is its perimeter? (a) 80 cm (b) 24 cm (c) 48 cm (d) 44 cm
  34. 34.A rectangle has an area of 12 sq cm and a length of 6 cm. What is its width? (a) 3 cm (b) 2 cm (c) 4 cm (d) 6 cm
  35. 35.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 49 sq cm (c) 64 sq cm (d) 14 sq cm
  36. 36.A rectangle is 12 cm long and 8 cm wide. What is its perimeter? (a) 40 cm (b) 96 cm (c) 32 cm (d) 20 cm
  37. 37.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 56 sq cm (c) 196 sq cm (d) 225 sq cm
  38. 38.A rectangle is 14 cm long and 10 cm wide. What is its perimeter? (a) 24 cm (b) 48 cm (c) 38 cm (d) 140 cm
  39. 39.A rectangle is 10 cm long and 7 cm wide. What is its area? (a) 34 sq cm (b) 17 sq cm (c) 70 sq cm (d) 80 sq cm
  40. 40.A rectangle has an area of 90 sq cm and a length of 18 cm. What is its width? (a) 10 cm (b) 6 cm (c) 5 cm (d) 72 cm

Answer key

  1. 80 sq cm
  2. 120 sq cm
  3. 5 cm
  4. 25 sq cm
  5. 4 cm
  6. 169 sq cm
  7. 22 cm
  8. 36 sq cm
  9. 3 cm
  10. 30 cm
  11. 9 cm
  12. 77 sq cm
  13. 5 cm
  14. 62 cm
  15. 12 cm
  16. 26 cm
  17. 72 sq cm
  18. 34 cm
  19. 144 sq cm
  20. 5 cm
  21. 38 cm
  22. 60 sq cm
  23. 112 sq cm
  24. 9 cm
  25. 36 cm
  26. 27 sq cm
  27. 3 cm
  28. 4 cm
  29. 24 cm
  30. 10 cm
  31. 42 cm
  32. 16 cm
  33. 48 cm
  34. 2 cm
  35. 49 sq cm
  36. 40 cm
  37. 196 sq cm
  38. 48 cm
  39. 70 sq cm
  40. 5 cm

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