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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 609 · 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 8 cm long and 5 cm wide. What is its perimeter? (a) 13 cm (b) 21 cm (c) 40 cm (d) 26 cm
  2. 2.A rectangle has an area of 216 sq cm and a length of 18 cm. What is its width? (a) 13 cm (b) 24 cm (c) 198 cm (d) 12 cm
  3. 3.A rectangle has an area of 171 sq cm and a length of 19 cm. What is its width? (a) 9 cm (b) 152 cm (c) 18 cm (d) 10 cm
  4. 4.A rectangle has an area of 130 sq cm and a length of 13 cm. What is its width? (a) 20 cm (b) 117 cm (c) 11 cm (d) 10 cm
  5. 5.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 28 sq cm (b) 10 sq cm (c) 21 sq cm (d) 20 sq cm
  6. 6.A rectangle is 11 cm long and 6 cm wide. What is its perimeter? (a) 66 cm (b) 17 cm (c) 28 cm (d) 34 cm
  7. 7.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 11 cm (b) 19 cm (c) 24 cm (d) 22 cm
  8. 8.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 26 sq cm (c) 169 sq cm (d) 196 sq cm
  9. 9.A rectangle is 14 cm long and 2 cm wide. What is its perimeter? (a) 28 cm (b) 32 cm (c) 16 cm (d) 30 cm
  10. 10.A rectangle is 15 cm long and 11 cm wide. What is its area? (a) 180 sq cm (b) 52 sq cm (c) 165 sq cm (d) 26 sq cm
  11. 11.A rectangle has an area of 24 sq cm and a length of 12 cm. What is its width? (a) 4 cm (b) 2 cm (c) 3 cm (d) 12 cm
  12. 12.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 11 sq cm (b) 28 sq cm (c) 35 sq cm (d) 22 sq cm
  13. 13.A rectangle is 10 cm long and 8 cm wide. What is its perimeter? (a) 80 cm (b) 28 cm (c) 18 cm (d) 36 cm
  14. 14.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 100 sq cm (c) 20 sq cm (d) 121 sq cm
  15. 15.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 35 cm (b) 19 cm (c) 12 cm (d) 24 cm
  16. 16.A rectangle has an area of 75 sq cm and a length of 15 cm. What is its width? (a) 6 cm (b) 60 cm (c) 5 cm (d) 10 cm
  17. 17.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 24 sq cm (c) 144 sq cm (d) 169 sq cm
  18. 18.A rectangle is 19 cm long and 2 cm wide. What is its area? (a) 42 sq cm (b) 38 sq cm (c) 21 sq cm (d) 57 sq cm
  19. 19.A rectangle has an area of 144 sq cm and a length of 18 cm. What is its width? (a) 9 cm (b) 8 cm (c) 126 cm (d) 16 cm
  20. 20.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
  21. 21.A square has a perimeter of 24 cm. What is its area? (a) 36 sq cm (b) 12 sq cm (c) 24 sq cm (d) 49 sq cm
  22. 22.A rectangle is 8 cm long and 4 cm wide. What is its perimeter? (a) 32 cm (b) 24 cm (c) 20 cm (d) 12 cm
  23. 23.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 256 sq cm (c) 60 sq cm (d) 225 sq cm
  24. 24.A rectangle is 11 cm long and 5 cm wide. What is its area? (a) 32 sq cm (b) 66 sq cm (c) 16 sq cm (d) 55 sq cm
  25. 25.A rectangle is 9 cm long and 6 cm wide. What is its perimeter? (a) 15 cm (b) 54 cm (c) 30 cm (d) 24 cm
  26. 26.A rectangle is 16 cm long and 10 cm wide. What is its area? (a) 52 sq cm (b) 160 sq cm (c) 26 sq cm (d) 176 sq cm
  27. 27.A rectangle is 11 cm long and 9 cm wide. What is its area? (a) 20 sq cm (b) 40 sq cm (c) 110 sq cm (d) 99 sq cm
  28. 28.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 19 cm (b) 18 cm (c) 9 cm (d) 15 cm
  29. 29.A rectangle is 11 cm long and 3 cm wide. What is its perimeter? (a) 25 cm (b) 14 cm (c) 28 cm (d) 33 cm
  30. 30.A rectangle is 19 cm long and 8 cm wide. What is its perimeter? (a) 27 cm (b) 46 cm (c) 152 cm (d) 54 cm
  31. 31.A rectangle is 16 cm long and 8 cm wide. What is its area? (a) 144 sq cm (b) 128 sq cm (c) 48 sq cm (d) 24 sq cm
  32. 32.A rectangle is 10 cm long and 4 cm wide. What is its perimeter? (a) 14 cm (b) 40 cm (c) 28 cm (d) 24 cm
  33. 33.A rectangle is 17 cm long and 12 cm wide. What is its perimeter? (a) 46 cm (b) 204 cm (c) 29 cm (d) 58 cm
  34. 34.A rectangle is 18 cm long and 8 cm wide. What is its area? (a) 26 sq cm (b) 162 sq cm (c) 52 sq cm (d) 144 sq cm
  35. 35.A rectangle has an area of 180 sq cm and a length of 20 cm. What is its width? (a) 160 cm (b) 18 cm (c) 10 cm (d) 9 cm
  36. 36.A square has a perimeter of 36 cm. What is its area? (a) 81 sq cm (b) 36 sq cm (c) 18 sq cm (d) 100 sq cm
  37. 37.A rectangle is 14 cm long and 5 cm wide. What is its perimeter? (a) 38 cm (b) 70 cm (c) 33 cm (d) 19 cm
  38. 38.A rectangle is 17 cm long and 7 cm wide. What is its area? (a) 48 sq cm (b) 24 sq cm (c) 119 sq cm (d) 136 sq cm
  39. 39.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 11 sq cm (b) 36 sq cm (c) 22 sq cm (d) 30 sq cm
  40. 40.A square has a perimeter of 32 cm. What is its area? (a) 64 sq cm (b) 32 sq cm (c) 16 sq cm (d) 81 sq cm

Answer key

  1. 26 cm
  2. 12 cm
  3. 9 cm
  4. 10 cm
  5. 21 sq cm
  6. 34 cm
  7. 22 cm
  8. 169 sq cm
  9. 32 cm
  10. 165 sq cm
  11. 2 cm
  12. 28 sq cm
  13. 36 cm
  14. 100 sq cm
  15. 24 cm
  16. 5 cm
  17. 144 sq cm
  18. 38 sq cm
  19. 8 cm
  20. 25 sq cm
  21. 36 sq cm
  22. 24 cm
  23. 225 sq cm
  24. 55 sq cm
  25. 30 cm
  26. 160 sq cm
  27. 99 sq cm
  28. 18 cm
  29. 28 cm
  30. 54 cm
  31. 128 sq cm
  32. 28 cm
  33. 58 cm
  34. 144 sq cm
  35. 9 cm
  36. 81 sq cm
  37. 38 cm
  38. 119 sq cm
  39. 30 sq cm
  40. 64 sq cm

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