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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 329 · 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 14 cm long and 2 cm wide. What is its area? (a) 32 sq cm (b) 16 sq cm (c) 42 sq cm (d) 28 sq cm
  2. 2.A rectangle has an area of 42 sq cm and a length of 7 cm. What is its width? (a) 35 cm (b) 7 cm (c) 6 cm (d) 12 cm
  3. 3.A rectangle has an area of 14 sq cm and a length of 7 cm. What is its width? (a) 4 cm (b) 7 cm (c) 3 cm (d) 2 cm
  4. 4.A square has a perimeter of 24 cm. What is its area? (a) 36 sq cm (b) 49 sq cm (c) 12 sq cm (d) 24 sq cm
  5. 5.A rectangle is 17 cm long and 7 cm wide. What is its area? (a) 24 sq cm (b) 136 sq cm (c) 119 sq cm (d) 48 sq cm
  6. 6.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 225 sq cm (c) 196 sq cm (d) 56 sq cm
  7. 7.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 256 sq cm (c) 225 sq cm (d) 60 sq cm
  8. 8.A rectangle is 12 cm long and 3 cm wide. What is its perimeter? (a) 27 cm (b) 15 cm (c) 30 cm (d) 36 cm
  9. 9.A rectangle is 17 cm long and 8 cm wide. What is its area? (a) 153 sq cm (b) 136 sq cm (c) 50 sq cm (d) 25 sq cm
  10. 10.A rectangle has an area of 56 sq cm and a length of 14 cm. What is its width? (a) 5 cm (b) 4 cm (c) 8 cm (d) 42 cm
  11. 11.A rectangle is 16 cm long and 12 cm wide. What is its area? (a) 56 sq cm (b) 208 sq cm (c) 28 sq cm (d) 192 sq cm
  12. 12.A rectangle is 14 cm long and 9 cm wide. What is its area? (a) 23 sq cm (b) 126 sq cm (c) 46 sq cm (d) 140 sq cm
  13. 13.A rectangle is 14 cm long and 3 cm wide. What is its area? (a) 42 sq cm (b) 34 sq cm (c) 56 sq cm (d) 17 sq cm
  14. 14.A rectangle is 17 cm long and 3 cm wide. What is its area? (a) 51 sq cm (b) 40 sq cm (c) 20 sq cm (d) 68 sq cm
  15. 15.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 35 sq cm (b) 22 sq cm (c) 28 sq cm (d) 11 sq cm
  16. 16.A rectangle is 17 cm long and 8 cm wide. What is its perimeter? (a) 136 cm (b) 50 cm (c) 42 cm (d) 25 cm
  17. 17.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 18 sq cm (c) 36 sq cm (d) 81 sq cm
  18. 18.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 14 sq cm (b) 18 sq cm (c) 9 sq cm (d) 21 sq cm
  19. 19.A rectangle is 9 cm long and 6 cm wide. What is its perimeter? (a) 24 cm (b) 54 cm (c) 30 cm (d) 15 cm
  20. 20.A rectangle is 12 cm long and 4 cm wide. What is its area? (a) 48 sq cm (b) 32 sq cm (c) 60 sq cm (d) 16 sq cm
  21. 21.A rectangle has an area of 96 sq cm and a length of 12 cm. What is its width? (a) 9 cm (b) 84 cm (c) 16 cm (d) 8 cm
  22. 22.A rectangle is 13 cm long and 9 cm wide. What is its perimeter? (a) 117 cm (b) 22 cm (c) 35 cm (d) 44 cm
  23. 23.A rectangle has an area of 15 sq cm and a length of 5 cm. What is its width? (a) 6 cm (b) 10 cm (c) 3 cm (d) 4 cm
  24. 24.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 28 cm (b) 22 cm (c) 18 cm (d) 11 cm
  25. 25.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 10 sq cm (c) 25 sq cm (d) 20 sq cm
  26. 26.A rectangle has an area of 143 sq cm and a length of 13 cm. What is its width? (a) 11 cm (b) 12 cm (c) 130 cm (d) 22 cm
  27. 27.A rectangle is 18 cm long and 4 cm wide. What is its perimeter? (a) 40 cm (b) 22 cm (c) 44 cm (d) 72 cm
  28. 28.A rectangle has an area of 68 sq cm and a length of 17 cm. What is its width? (a) 5 cm (b) 4 cm (c) 51 cm (d) 8 cm
  29. 29.A rectangle has an area of 160 sq cm and a length of 16 cm. What is its width? (a) 10 cm (b) 144 cm (c) 11 cm (d) 20 cm
  30. 30.A rectangle has an area of 108 sq cm and a length of 18 cm. What is its width? (a) 90 cm (b) 6 cm (c) 7 cm (d) 12 cm
  31. 31.A rectangle has an area of 60 sq cm and a length of 15 cm. What is its width? (a) 8 cm (b) 4 cm (c) 5 cm (d) 45 cm
  32. 32.A rectangle is 12 cm long and 3 cm wide. What is its area? (a) 15 sq cm (b) 36 sq cm (c) 48 sq cm (d) 30 sq cm
  33. 33.A rectangle has an area of 45 sq cm and a length of 15 cm. What is its width? (a) 4 cm (b) 3 cm (c) 30 cm (d) 6 cm
  34. 34.A rectangle has an area of 80 sq cm and a length of 10 cm. What is its width? (a) 70 cm (b) 16 cm (c) 9 cm (d) 8 cm
  35. 35.A rectangle is 15 cm long and 3 cm wide. What is its area? (a) 60 sq cm (b) 36 sq cm (c) 18 sq cm (d) 45 sq cm
  36. 36.A rectangle has an area of 44 sq cm and a length of 11 cm. What is its width? (a) 5 cm (b) 4 cm (c) 8 cm (d) 33 cm
  37. 37.A rectangle is 17 cm long and 10 cm wide. What is its area? (a) 54 sq cm (b) 187 sq cm (c) 170 sq cm (d) 27 sq cm
  38. 38.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 9 cm (b) 14 cm (c) 18 cm (d) 16 cm
  39. 39.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 26 cm (b) 42 cm (c) 13 cm (d) 20 cm
  40. 40.A square has a perimeter of 52 cm. What is its area? (a) 26 sq cm (b) 196 sq cm (c) 52 sq cm (d) 169 sq cm

Answer key

  1. 28 sq cm
  2. 6 cm
  3. 2 cm
  4. 36 sq cm
  5. 119 sq cm
  6. 196 sq cm
  7. 225 sq cm
  8. 30 cm
  9. 136 sq cm
  10. 4 cm
  11. 192 sq cm
  12. 126 sq cm
  13. 42 sq cm
  14. 51 sq cm
  15. 28 sq cm
  16. 50 cm
  17. 81 sq cm
  18. 14 sq cm
  19. 30 cm
  20. 48 sq cm
  21. 8 cm
  22. 44 cm
  23. 3 cm
  24. 22 cm
  25. 25 sq cm
  26. 11 cm
  27. 44 cm
  28. 4 cm
  29. 10 cm
  30. 6 cm
  31. 4 cm
  32. 36 sq cm
  33. 3 cm
  34. 8 cm
  35. 45 sq cm
  36. 4 cm
  37. 170 sq cm
  38. 18 cm
  39. 26 cm
  40. 169 sq cm

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