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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 996 · 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 2 cm wide. What is its perimeter? (a) 42 cm (b) 40 cm (c) 44 cm (d) 22 cm
  2. 2.A rectangle is 9 cm long and 6 cm wide. What is its area? (a) 54 sq cm (b) 30 sq cm (c) 63 sq cm (d) 15 sq cm
  3. 3.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 49 sq cm (c) 64 sq cm (d) 28 sq cm
  4. 4.A rectangle has an area of 72 sq cm and a length of 12 cm. What is its width? (a) 60 cm (b) 12 cm (c) 6 cm (d) 7 cm
  5. 5.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
  6. 6.A rectangle has an area of 240 sq cm and a length of 20 cm. What is its width? (a) 13 cm (b) 24 cm (c) 220 cm (d) 12 cm
  7. 7.A rectangle is 18 cm long and 3 cm wide. What is its perimeter? (a) 54 cm (b) 39 cm (c) 42 cm (d) 21 cm
  8. 8.A rectangle is 13 cm long and 11 cm wide. What is its area? (a) 156 sq cm (b) 143 sq cm (c) 24 sq cm (d) 48 sq cm
  9. 9.A rectangle has an area of 48 sq cm and a length of 8 cm. What is its width? (a) 7 cm (b) 6 cm (c) 12 cm (d) 40 cm
  10. 10.A rectangle is 10 cm long and 2 cm wide. What is its perimeter? (a) 20 cm (b) 22 cm (c) 12 cm (d) 24 cm
  11. 11.A rectangle has an area of 21 sq cm and a length of 7 cm. What is its width? (a) 4 cm (b) 6 cm (c) 3 cm (d) 14 cm
  12. 12.A rectangle has an area of 108 sq cm and a length of 12 cm. What is its width? (a) 18 cm (b) 9 cm (c) 10 cm (d) 96 cm
  13. 13.A rectangle is 16 cm long and 11 cm wide. What is its area? (a) 192 sq cm (b) 54 sq cm (c) 27 sq cm (d) 176 sq cm
  14. 14.A rectangle has an area of 30 sq cm and a length of 10 cm. What is its width? (a) 4 cm (b) 6 cm (c) 3 cm (d) 20 cm
  15. 15.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
  16. 16.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 36 sq cm (b) 30 sq cm (c) 11 sq cm (d) 22 sq cm
  17. 17.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 81 sq cm (c) 64 sq cm (d) 32 sq cm
  18. 18.A rectangle has an area of 27 sq cm and a length of 9 cm. What is its width? (a) 6 cm (b) 4 cm (c) 18 cm (d) 3 cm
  19. 19.A rectangle has an area of 90 sq cm and a length of 15 cm. What is its width? (a) 75 cm (b) 12 cm (c) 7 cm (d) 6 cm
  20. 20.A rectangle is 18 cm long and 12 cm wide. What is its area? (a) 30 sq cm (b) 216 sq cm (c) 60 sq cm (d) 234 sq cm
  21. 21.A rectangle is 18 cm long and 7 cm wide. What is its area? (a) 50 sq cm (b) 144 sq cm (c) 25 sq cm (d) 126 sq cm
  22. 22.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
  23. 23.A rectangle is 11 cm long and 3 cm wide. What is its perimeter? (a) 25 cm (b) 28 cm (c) 33 cm (d) 14 cm
  24. 24.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 11 sq cm (b) 32 sq cm (c) 22 sq cm (d) 24 sq cm
  25. 25.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 42 sq cm (b) 24 sq cm (c) 12 sq cm (d) 35 sq cm
  26. 26.A rectangle is 19 cm long and 3 cm wide. What is its perimeter? (a) 22 cm (b) 57 cm (c) 41 cm (d) 44 cm
  27. 27.A rectangle is 9 cm long and 7 cm wide. What is its perimeter? (a) 63 cm (b) 32 cm (c) 16 cm (d) 25 cm
  28. 28.A rectangle is 19 cm long and 12 cm wide. What is its perimeter? (a) 31 cm (b) 50 cm (c) 228 cm (d) 62 cm
  29. 29.A rectangle has an area of 140 sq cm and a length of 14 cm. What is its width? (a) 20 cm (b) 11 cm (c) 126 cm (d) 10 cm
  30. 30.A rectangle is 9 cm long and 8 cm wide. What is its perimeter? (a) 26 cm (b) 72 cm (c) 34 cm (d) 17 cm
  31. 31.A rectangle is 17 cm long and 7 cm wide. What is its perimeter? (a) 24 cm (b) 48 cm (c) 119 cm (d) 41 cm
  32. 32.A rectangle has an area of 55 sq cm and a length of 11 cm. What is its width? (a) 44 cm (b) 5 cm (c) 10 cm (d) 6 cm
  33. 33.A rectangle has an area of 162 sq cm and a length of 18 cm. What is its width? (a) 10 cm (b) 144 cm (c) 18 cm (d) 9 cm
  34. 34.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 196 sq cm (c) 26 sq cm (d) 169 sq cm
  35. 35.A rectangle is 10 cm long and 4 cm wide. What is its perimeter? (a) 24 cm (b) 40 cm (c) 14 cm (d) 28 cm
  36. 36.A rectangle is 18 cm long and 4 cm wide. What is its perimeter? (a) 40 cm (b) 72 cm (c) 44 cm (d) 22 cm
  37. 37.A rectangle is 14 cm long and 12 cm wide. What is its area? (a) 182 sq cm (b) 52 sq cm (c) 26 sq cm (d) 168 sq cm
  38. 38.A rectangle is 14 cm long and 6 cm wide. What is its area? (a) 20 sq cm (b) 84 sq cm (c) 40 sq cm (d) 98 sq cm
  39. 39.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 18 cm (b) 22 cm (c) 11 cm (d) 28 cm
  40. 40.A rectangle is 11 cm long and 2 cm wide. What is its perimeter? (a) 24 cm (b) 26 cm (c) 13 cm (d) 22 cm

Answer key

  1. 44 cm
  2. 54 sq cm
  3. 49 sq cm
  4. 6 cm
  5. 196 sq cm
  6. 12 cm
  7. 42 cm
  8. 143 sq cm
  9. 6 cm
  10. 24 cm
  11. 3 cm
  12. 9 cm
  13. 176 sq cm
  14. 3 cm
  15. 25 sq cm
  16. 30 sq cm
  17. 64 sq cm
  18. 3 cm
  19. 6 cm
  20. 216 sq cm
  21. 126 sq cm
  22. 36 sq cm
  23. 28 cm
  24. 24 sq cm
  25. 35 sq cm
  26. 44 cm
  27. 32 cm
  28. 62 cm
  29. 10 cm
  30. 34 cm
  31. 48 cm
  32. 5 cm
  33. 9 cm
  34. 169 sq cm
  35. 28 cm
  36. 44 cm
  37. 168 sq cm
  38. 84 sq cm
  39. 22 cm
  40. 26 cm

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