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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 882 · 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 156 sq cm and a length of 13 cm. What is its width? (a) 13 cm (b) 24 cm (c) 12 cm (d) 143 cm
  2. 2.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 28 sq cm (c) 225 sq cm (d) 196 sq cm
  3. 3.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
  4. 4.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
  5. 5.A rectangle is 19 cm long and 11 cm wide. What is its perimeter? (a) 30 cm (b) 209 cm (c) 60 cm (d) 49 cm
  6. 6.A rectangle is 13 cm long and 11 cm wide. What is its area? (a) 24 sq cm (b) 156 sq cm (c) 143 sq cm (d) 48 sq cm
  7. 7.A rectangle is 11 cm long and 2 cm wide. What is its perimeter? (a) 26 cm (b) 13 cm (c) 24 cm (d) 22 cm
  8. 8.A rectangle has an area of 22 sq cm and a length of 11 cm. What is its width? (a) 3 cm (b) 11 cm (c) 2 cm (d) 4 cm
  9. 9.A rectangle is 19 cm long and 4 cm wide. What is its area? (a) 76 sq cm (b) 95 sq cm (c) 23 sq cm (d) 46 sq cm
  10. 10.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 20 cm (b) 16 cm (c) 24 cm (d) 10 cm
  11. 11.A rectangle has an area of 165 sq cm and a length of 15 cm. What is its width? (a) 22 cm (b) 150 cm (c) 11 cm (d) 12 cm
  12. 12.A rectangle has an area of 56 sq cm and a length of 14 cm. What is its width? (a) 42 cm (b) 8 cm (c) 5 cm (d) 4 cm
  13. 13.A rectangle is 16 cm long and 7 cm wide. What is its area? (a) 23 sq cm (b) 46 sq cm (c) 128 sq cm (d) 112 sq cm
  14. 14.A rectangle has an area of 68 sq cm and a length of 17 cm. What is its width? (a) 51 cm (b) 8 cm (c) 4 cm (d) 5 cm
  15. 15.A rectangle is 15 cm long and 7 cm wide. What is its perimeter? (a) 105 cm (b) 22 cm (c) 44 cm (d) 37 cm
  16. 16.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 169 sq cm (c) 144 sq cm (d) 48 sq cm
  17. 17.A rectangle is 17 cm long and 7 cm wide. What is its area? (a) 48 sq cm (b) 119 sq cm (c) 24 sq cm (d) 136 sq cm
  18. 18.A rectangle is 16 cm long and 4 cm wide. What is its perimeter? (a) 20 cm (b) 40 cm (c) 36 cm (d) 64 cm
  19. 19.A square has a perimeter of 60 cm. What is its area? (a) 225 sq cm (b) 30 sq cm (c) 60 sq cm (d) 256 sq cm
  20. 20.A rectangle is 20 cm long and 6 cm wide. What is its area? (a) 120 sq cm (b) 26 sq cm (c) 140 sq cm (d) 52 sq cm
  21. 21.A rectangle has an area of 160 sq cm and a length of 20 cm. What is its width? (a) 8 cm (b) 16 cm (c) 140 cm (d) 9 cm
  22. 22.A rectangle has an area of 54 sq cm and a length of 18 cm. What is its width? (a) 6 cm (b) 4 cm (c) 3 cm (d) 36 cm
  23. 23.A rectangle has an area of 132 sq cm and a length of 12 cm. What is its width? (a) 11 cm (b) 12 cm (c) 22 cm (d) 120 cm
  24. 24.A rectangle is 11 cm long and 6 cm wide. What is its area? (a) 17 sq cm (b) 34 sq cm (c) 66 sq cm (d) 77 sq cm
  25. 25.A rectangle has an area of 12 sq cm and a length of 4 cm. What is its width? (a) 4 cm (b) 6 cm (c) 8 cm (d) 3 cm
  26. 26.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 49 sq cm (c) 14 sq cm (d) 28 sq cm
  27. 27.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
  28. 28.A rectangle has an area of 72 sq cm and a length of 18 cm. What is its width? (a) 5 cm (b) 8 cm (c) 54 cm (d) 4 cm
  29. 29.A rectangle is 11 cm long and 2 cm wide. What is its area? (a) 26 sq cm (b) 22 sq cm (c) 13 sq cm (d) 33 sq cm
  30. 30.A rectangle is 16 cm long and 5 cm wide. What is its area? (a) 80 sq cm (b) 21 sq cm (c) 42 sq cm (d) 96 sq cm
  31. 31.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 20 sq cm (c) 10 sq cm (d) 36 sq cm
  32. 32.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 26 sq cm (c) 196 sq cm (d) 169 sq cm
  33. 33.A rectangle is 10 cm long and 2 cm wide. What is its area? (a) 24 sq cm (b) 12 sq cm (c) 30 sq cm (d) 20 sq cm
  34. 34.A rectangle has an area of 70 sq cm and a length of 10 cm. What is its width? (a) 7 cm (b) 8 cm (c) 14 cm (d) 60 cm
  35. 35.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 18 sq cm (c) 12 sq cm (d) 8 sq cm
  36. 36.A rectangle is 10 cm long and 2 cm wide. What is its perimeter? (a) 22 cm (b) 20 cm (c) 24 cm (d) 12 cm
  37. 37.A rectangle has an area of 40 sq cm and a length of 8 cm. What is its width? (a) 10 cm (b) 5 cm (c) 6 cm (d) 32 cm
  38. 38.A rectangle is 8 cm long and 6 cm wide. What is its perimeter? (a) 14 cm (b) 28 cm (c) 22 cm (d) 48 cm
  39. 39.A rectangle has an area of 90 sq cm and a length of 10 cm. What is its width? (a) 80 cm (b) 10 cm (c) 18 cm (d) 9 cm
  40. 40.A rectangle is 18 cm long and 5 cm wide. What is its area? (a) 46 sq cm (b) 108 sq cm (c) 90 sq cm (d) 23 sq cm

Answer key

  1. 12 cm
  2. 196 sq cm
  3. 62 cm
  4. 36 sq cm
  5. 60 cm
  6. 143 sq cm
  7. 26 cm
  8. 2 cm
  9. 76 sq cm
  10. 20 cm
  11. 11 cm
  12. 4 cm
  13. 112 sq cm
  14. 4 cm
  15. 44 cm
  16. 144 sq cm
  17. 119 sq cm
  18. 40 cm
  19. 225 sq cm
  20. 120 sq cm
  21. 8 cm
  22. 3 cm
  23. 11 cm
  24. 66 sq cm
  25. 3 cm
  26. 49 sq cm
  27. 27 sq cm
  28. 4 cm
  29. 22 sq cm
  30. 80 sq cm
  31. 25 sq cm
  32. 169 sq cm
  33. 20 sq cm
  34. 7 cm
  35. 12 sq cm
  36. 24 cm
  37. 5 cm
  38. 28 cm
  39. 9 cm
  40. 90 sq cm

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