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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 466 · 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 66 sq cm and a length of 11 cm. What is its width? (a) 12 cm (b) 7 cm (c) 55 cm (d) 6 cm
  2. 2.A rectangle is 14 cm long and 7 cm wide. What is its perimeter? (a) 98 cm (b) 21 cm (c) 42 cm (d) 35 cm
  3. 3.A rectangle is 10 cm long and 9 cm wide. What is its perimeter? (a) 90 cm (b) 38 cm (c) 19 cm (d) 29 cm
  4. 4.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 21 sq cm (b) 9 sq cm (c) 14 sq cm (d) 18 sq cm
  5. 5.A rectangle has an area of 39 sq cm and a length of 13 cm. What is its width? (a) 26 cm (b) 3 cm (c) 6 cm (d) 4 cm
  6. 6.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 121 sq cm (c) 44 sq cm (d) 144 sq cm
  7. 7.A rectangle is 17 cm long and 7 cm wide. What is its area? (a) 136 sq cm (b) 48 sq cm (c) 24 sq cm (d) 119 sq cm
  8. 8.A rectangle is 14 cm long and 8 cm wide. What is its perimeter? (a) 36 cm (b) 112 cm (c) 44 cm (d) 22 cm
  9. 9.A rectangle is 19 cm long and 12 cm wide. What is its area? (a) 247 sq cm (b) 228 sq cm (c) 62 sq cm (d) 31 sq cm
  10. 10.A rectangle is 19 cm long and 2 cm wide. What is its perimeter? (a) 38 cm (b) 21 cm (c) 40 cm (d) 42 cm
  11. 11.A rectangle is 12 cm long and 6 cm wide. What is its perimeter? (a) 72 cm (b) 18 cm (c) 36 cm (d) 30 cm
  12. 12.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 144 sq cm (c) 169 sq cm (d) 24 sq cm
  13. 13.A square has a perimeter of 60 cm. What is its area? (a) 225 sq cm (b) 256 sq cm (c) 30 sq cm (d) 60 sq cm
  14. 14.A rectangle has an area of 80 sq cm and a length of 20 cm. What is its width? (a) 60 cm (b) 5 cm (c) 8 cm (d) 4 cm
  15. 15.A rectangle is 16 cm long and 2 cm wide. What is its perimeter? (a) 32 cm (b) 18 cm (c) 34 cm (d) 36 cm
  16. 16.A rectangle is 14 cm long and 4 cm wide. What is its perimeter? (a) 32 cm (b) 18 cm (c) 36 cm (d) 56 cm
  17. 17.A rectangle is 18 cm long and 7 cm wide. What is its area? (a) 25 sq cm (b) 50 sq cm (c) 144 sq cm (d) 126 sq cm
  18. 18.A rectangle is 20 cm long and 5 cm wide. What is its area? (a) 120 sq cm (b) 50 sq cm (c) 100 sq cm (d) 25 sq cm
  19. 19.A rectangle is 9 cm long and 6 cm wide. What is its area? (a) 63 sq cm (b) 30 sq cm (c) 54 sq cm (d) 15 sq cm
  20. 20.A rectangle is 17 cm long and 8 cm wide. What is its area? (a) 136 sq cm (b) 153 sq cm (c) 50 sq cm (d) 25 sq cm
  21. 21.A rectangle has an area of 114 sq cm and a length of 19 cm. What is its width? (a) 95 cm (b) 7 cm (c) 6 cm (d) 12 cm
  22. 22.A rectangle has an area of 209 sq cm and a length of 19 cm. What is its width? (a) 12 cm (b) 22 cm (c) 190 cm (d) 11 cm
  23. 23.A rectangle has an area of 33 sq cm and a length of 11 cm. What is its width? (a) 6 cm (b) 3 cm (c) 4 cm (d) 22 cm
  24. 24.A rectangle has an area of 84 sq cm and a length of 12 cm. What is its width? (a) 8 cm (b) 7 cm (c) 14 cm (d) 72 cm
  25. 25.A rectangle is 20 cm long and 2 cm wide. What is its perimeter? (a) 44 cm (b) 42 cm (c) 22 cm (d) 40 cm
  26. 26.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 36 sq cm (c) 24 sq cm (d) 49 sq cm
  27. 27.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
  28. 28.A rectangle is 19 cm long and 11 cm wide. What is its area? (a) 209 sq cm (b) 30 sq cm (c) 228 sq cm (d) 60 sq cm
  29. 29.A rectangle is 11 cm long and 8 cm wide. What is its area? (a) 19 sq cm (b) 88 sq cm (c) 38 sq cm (d) 99 sq cm
  30. 30.A rectangle is 16 cm long and 11 cm wide. What is its area? (a) 54 sq cm (b) 27 sq cm (c) 192 sq cm (d) 176 sq cm
  31. 31.A rectangle is 20 cm long and 12 cm wide. What is its perimeter? (a) 240 cm (b) 52 cm (c) 32 cm (d) 64 cm
  32. 32.A rectangle is 13 cm long and 7 cm wide. What is its perimeter? (a) 40 cm (b) 91 cm (c) 33 cm (d) 20 cm
  33. 33.A rectangle is 12 cm long and 7 cm wide. What is its area? (a) 96 sq cm (b) 19 sq cm (c) 84 sq cm (d) 38 sq cm
  34. 34.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 11 cm (b) 17 cm (c) 30 cm (d) 22 cm
  35. 35.A rectangle is 20 cm long and 11 cm wide. What is its area? (a) 31 sq cm (b) 220 sq cm (c) 240 sq cm (d) 62 sq cm
  36. 36.A rectangle is 10 cm long and 8 cm wide. What is its area? (a) 18 sq cm (b) 90 sq cm (c) 80 sq cm (d) 36 sq cm
  37. 37.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 11 sq cm (b) 24 sq cm (c) 22 sq cm (d) 32 sq cm
  38. 38.A rectangle has an area of 32 sq cm and a length of 8 cm. What is its width? (a) 8 cm (b) 24 cm (c) 5 cm (d) 4 cm
  39. 39.A rectangle is 13 cm long and 12 cm wide. What is its area? (a) 156 sq cm (b) 25 sq cm (c) 169 sq cm (d) 50 sq cm
  40. 40.A rectangle has an area of 6 sq cm and a length of 3 cm. What is its width? (a) 3 cm (b) 4 cm (c) 1 cm (d) 2 cm

Answer key

  1. 6 cm
  2. 42 cm
  3. 38 cm
  4. 14 sq cm
  5. 3 cm
  6. 121 sq cm
  7. 119 sq cm
  8. 44 cm
  9. 228 sq cm
  10. 42 cm
  11. 36 cm
  12. 144 sq cm
  13. 225 sq cm
  14. 4 cm
  15. 36 cm
  16. 36 cm
  17. 126 sq cm
  18. 100 sq cm
  19. 54 sq cm
  20. 136 sq cm
  21. 6 cm
  22. 11 cm
  23. 3 cm
  24. 7 cm
  25. 44 cm
  26. 36 sq cm
  27. 196 sq cm
  28. 209 sq cm
  29. 88 sq cm
  30. 176 sq cm
  31. 64 cm
  32. 40 cm
  33. 84 sq cm
  34. 22 cm
  35. 220 sq cm
  36. 80 sq cm
  37. 24 sq cm
  38. 4 cm
  39. 156 sq cm
  40. 2 cm

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