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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 184 · 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 8 sq cm and a length of 4 cm. What is its width? (a) 3 cm (b) 4 cm (c) 2 cm (d) 1 cm
  2. 2.A rectangle is 14 cm long and 7 cm wide. What is its area? (a) 42 sq cm (b) 21 sq cm (c) 98 sq cm (d) 112 sq cm
  3. 3.A rectangle has an area of 35 sq cm and a length of 7 cm. What is its width? (a) 6 cm (b) 28 cm (c) 5 cm (d) 10 cm
  4. 4.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 49 sq cm (b) 13 sq cm (c) 26 sq cm (d) 42 sq cm
  5. 5.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 12 sq cm (c) 36 sq cm (d) 24 sq cm
  6. 6.A rectangle is 13 cm long and 3 cm wide. What is its perimeter? (a) 16 cm (b) 29 cm (c) 39 cm (d) 32 cm
  7. 7.A square has a perimeter of 32 cm. What is its area? (a) 64 sq cm (b) 81 sq cm (c) 16 sq cm (d) 32 sq cm
  8. 8.A rectangle is 10 cm long and 8 cm wide. What is its perimeter? (a) 28 cm (b) 80 cm (c) 18 cm (d) 36 cm
  9. 9.A rectangle is 13 cm long and 10 cm wide. What is its perimeter? (a) 23 cm (b) 46 cm (c) 130 cm (d) 36 cm
  10. 10.A rectangle has an area of 126 sq cm and a length of 18 cm. What is its width? (a) 14 cm (b) 108 cm (c) 8 cm (d) 7 cm
  11. 11.A rectangle is 13 cm long and 2 cm wide. What is its perimeter? (a) 15 cm (b) 30 cm (c) 28 cm (d) 26 cm
  12. 12.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 100 sq cm (c) 121 sq cm (d) 20 sq cm
  13. 13.A rectangle is 16 cm long and 4 cm wide. What is its area? (a) 40 sq cm (b) 20 sq cm (c) 80 sq cm (d) 64 sq cm
  14. 14.A rectangle has an area of 24 sq cm and a length of 8 cm. What is its width? (a) 16 cm (b) 3 cm (c) 6 cm (d) 4 cm
  15. 15.A square has a perimeter of 44 cm. What is its area? (a) 121 sq cm (b) 144 sq cm (c) 44 sq cm (d) 22 sq cm
  16. 16.A rectangle is 19 cm long and 9 cm wide. What is its area? (a) 28 sq cm (b) 56 sq cm (c) 190 sq cm (d) 171 sq cm
  17. 17.A rectangle is 11 cm long and 9 cm wide. What is its perimeter? (a) 40 cm (b) 20 cm (c) 99 cm (d) 31 cm
  18. 18.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 14 cm (b) 12 cm (c) 16 cm (d) 8 cm
  19. 19.A rectangle is 11 cm long and 2 cm wide. What is its area? (a) 33 sq cm (b) 22 sq cm (c) 26 sq cm (d) 13 sq cm
  20. 20.A rectangle is 20 cm long and 5 cm wide. What is its area? (a) 50 sq cm (b) 25 sq cm (c) 120 sq cm (d) 100 sq cm
  21. 21.A rectangle is 13 cm long and 11 cm wide. What is its area? (a) 48 sq cm (b) 24 sq cm (c) 156 sq cm (d) 143 sq cm
  22. 22.A rectangle has an area of 55 sq cm and a length of 11 cm. What is its width? (a) 10 cm (b) 6 cm (c) 5 cm (d) 44 cm
  23. 23.A rectangle has an area of 50 sq cm and a length of 10 cm. What is its width? (a) 40 cm (b) 10 cm (c) 5 cm (d) 6 cm
  24. 24.A rectangle has an area of 190 sq cm and a length of 19 cm. What is its width? (a) 20 cm (b) 171 cm (c) 11 cm (d) 10 cm
  25. 25.A rectangle is 10 cm long and 5 cm wide. What is its perimeter? (a) 25 cm (b) 30 cm (c) 15 cm (d) 50 cm
  26. 26.A rectangle is 11 cm long and 2 cm wide. What is its perimeter? (a) 13 cm (b) 26 cm (c) 22 cm (d) 24 cm
  27. 27.A rectangle is 19 cm long and 12 cm wide. What is its perimeter? (a) 31 cm (b) 62 cm (c) 228 cm (d) 50 cm
  28. 28.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 56 sq cm (c) 196 sq cm (d) 28 sq cm
  29. 29.A rectangle is 9 cm long and 8 cm wide. What is its area? (a) 17 sq cm (b) 81 sq cm (c) 72 sq cm (d) 34 sq cm
  30. 30.A rectangle has an area of 150 sq cm and a length of 15 cm. What is its width? (a) 135 cm (b) 11 cm (c) 20 cm (d) 10 cm
  31. 31.A rectangle has an area of 104 sq cm and a length of 13 cm. What is its width? (a) 8 cm (b) 91 cm (c) 9 cm (d) 16 cm
  32. 32.A rectangle has an area of 22 sq cm and a length of 11 cm. What is its width? (a) 2 cm (b) 4 cm (c) 11 cm (d) 3 cm
  33. 33.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 28 sq cm (c) 49 sq cm (d) 64 sq cm
  34. 34.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
  35. 35.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 30 sq cm (c) 60 sq cm (d) 225 sq cm
  36. 36.A rectangle has an area of 80 sq cm and a length of 20 cm. What is its width? (a) 60 cm (b) 8 cm (c) 5 cm (d) 4 cm
  37. 37.A rectangle is 15 cm long and 12 cm wide. What is its perimeter? (a) 54 cm (b) 27 cm (c) 180 cm (d) 42 cm
  38. 38.A rectangle has an area of 140 sq cm and a length of 20 cm. What is its width? (a) 7 cm (b) 14 cm (c) 8 cm (d) 120 cm
  39. 39.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
  40. 40.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 24 sq cm (c) 169 sq cm (d) 144 sq cm

Answer key

  1. 2 cm
  2. 98 sq cm
  3. 5 cm
  4. 42 sq cm
  5. 36 sq cm
  6. 32 cm
  7. 64 sq cm
  8. 36 cm
  9. 46 cm
  10. 7 cm
  11. 30 cm
  12. 100 sq cm
  13. 64 sq cm
  14. 3 cm
  15. 121 sq cm
  16. 171 sq cm
  17. 40 cm
  18. 16 cm
  19. 22 sq cm
  20. 100 sq cm
  21. 143 sq cm
  22. 5 cm
  23. 5 cm
  24. 10 cm
  25. 30 cm
  26. 26 cm
  27. 62 cm
  28. 196 sq cm
  29. 72 sq cm
  30. 10 cm
  31. 8 cm
  32. 2 cm
  33. 49 sq cm
  34. 169 sq cm
  35. 225 sq cm
  36. 4 cm
  37. 54 cm
  38. 7 cm
  39. 32 cm
  40. 144 sq cm

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