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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 497 · 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 square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 24 sq cm (c) 36 sq cm (d) 12 sq cm
  2. 2.A rectangle has an area of 44 sq cm and a length of 11 cm. What is its width? (a) 33 cm (b) 8 cm (c) 4 cm (d) 5 cm
  3. 3.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 64 sq cm (d) 49 sq cm
  4. 4.A rectangle has an area of 34 sq cm and a length of 17 cm. What is its width? (a) 3 cm (b) 4 cm (c) 17 cm (d) 2 cm
  5. 5.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 20 sq cm (c) 36 sq cm (d) 10 sq cm
  6. 6.A rectangle is 14 cm long and 6 cm wide. What is its perimeter? (a) 40 cm (b) 34 cm (c) 20 cm (d) 84 cm
  7. 7.A rectangle is 12 cm long and 10 cm wide. What is its area? (a) 22 sq cm (b) 120 sq cm (c) 132 sq cm (d) 44 sq cm
  8. 8.A rectangle is 11 cm long and 10 cm wide. What is its perimeter? (a) 42 cm (b) 32 cm (c) 21 cm (d) 110 cm
  9. 9.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
  10. 10.A rectangle has an area of 18 sq cm and a length of 6 cm. What is its width? (a) 6 cm (b) 12 cm (c) 3 cm (d) 4 cm
  11. 11.A rectangle has an area of 90 sq cm and a length of 15 cm. What is its width? (a) 6 cm (b) 75 cm (c) 7 cm (d) 12 cm
  12. 12.A rectangle is 19 cm long and 8 cm wide. What is its area? (a) 27 sq cm (b) 171 sq cm (c) 54 sq cm (d) 152 sq cm
  13. 13.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 24 sq cm (d) 16 sq cm
  14. 14.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
  15. 15.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 32 sq cm (c) 81 sq cm (d) 64 sq cm
  16. 16.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 14 sq cm (b) 45 sq cm (c) 54 sq cm (d) 28 sq cm
  17. 17.A rectangle has an area of 30 sq cm and a length of 10 cm. What is its width? (a) 20 cm (b) 4 cm (c) 3 cm (d) 6 cm
  18. 18.A rectangle is 13 cm long and 2 cm wide. What is its area? (a) 39 sq cm (b) 15 sq cm (c) 26 sq cm (d) 30 sq cm
  19. 19.A rectangle is 18 cm long and 7 cm wide. What is its perimeter? (a) 50 cm (b) 43 cm (c) 126 cm (d) 25 cm
  20. 20.A rectangle is 11 cm long and 4 cm wide. What is its area? (a) 30 sq cm (b) 15 sq cm (c) 55 sq cm (d) 44 sq cm
  21. 21.A rectangle has an area of 132 sq cm and a length of 12 cm. What is its width? (a) 22 cm (b) 12 cm (c) 120 cm (d) 11 cm
  22. 22.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 14 sq cm (b) 21 sq cm (c) 9 sq cm (d) 18 sq cm
  23. 23.A rectangle has an area of 176 sq cm and a length of 16 cm. What is its width? (a) 12 cm (b) 160 cm (c) 22 cm (d) 11 cm
  24. 24.A square has a perimeter of 52 cm. What is its area? (a) 26 sq cm (b) 52 sq cm (c) 196 sq cm (d) 169 sq cm
  25. 25.A rectangle is 10 cm long and 8 cm wide. What is its area? (a) 36 sq cm (b) 80 sq cm (c) 90 sq cm (d) 18 sq cm
  26. 26.A rectangle has an area of 45 sq cm and a length of 9 cm. What is its width? (a) 5 cm (b) 36 cm (c) 6 cm (d) 10 cm
  27. 27.A rectangle is 11 cm long and 2 cm wide. What is its area? (a) 33 sq cm (b) 26 sq cm (c) 22 sq cm (d) 13 sq cm
  28. 28.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 196 sq cm (c) 225 sq cm (d) 28 sq cm
  29. 29.A rectangle has an area of 24 sq cm and a length of 12 cm. What is its width? (a) 4 cm (b) 3 cm (c) 2 cm (d) 12 cm
  30. 30.A rectangle is 18 cm long and 12 cm wide. What is its perimeter? (a) 48 cm (b) 216 cm (c) 60 cm (d) 30 cm
  31. 31.A rectangle has an area of 112 sq cm and a length of 14 cm. What is its width? (a) 8 cm (b) 98 cm (c) 16 cm (d) 9 cm
  32. 32.A rectangle is 18 cm long and 10 cm wide. What is its perimeter? (a) 46 cm (b) 28 cm (c) 56 cm (d) 180 cm
  33. 33.A rectangle has an area of 128 sq cm and a length of 16 cm. What is its width? (a) 8 cm (b) 9 cm (c) 16 cm (d) 112 cm
  34. 34.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 10 cm (b) 20 cm (c) 21 cm (d) 17 cm
  35. 35.A rectangle is 17 cm long and 5 cm wide. What is its perimeter? (a) 39 cm (b) 22 cm (c) 85 cm (d) 44 cm
  36. 36.A rectangle has an area of 75 sq cm and a length of 15 cm. What is its width? (a) 10 cm (b) 5 cm (c) 6 cm (d) 60 cm
  37. 37.A rectangle has an area of 72 sq cm and a length of 9 cm. What is its width? (a) 9 cm (b) 16 cm (c) 8 cm (d) 63 cm
  38. 38.A rectangle is 16 cm long and 4 cm wide. What is its perimeter? (a) 40 cm (b) 64 cm (c) 20 cm (d) 36 cm
  39. 39.A rectangle is 17 cm long and 10 cm wide. What is its area? (a) 27 sq cm (b) 54 sq cm (c) 170 sq cm (d) 187 sq cm
  40. 40.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

Answer key

  1. 36 sq cm
  2. 4 cm
  3. 49 sq cm
  4. 2 cm
  5. 25 sq cm
  6. 40 cm
  7. 120 sq cm
  8. 42 cm
  9. 225 sq cm
  10. 3 cm
  11. 6 cm
  12. 152 sq cm
  13. 16 sq cm
  14. 126 sq cm
  15. 64 sq cm
  16. 45 sq cm
  17. 3 cm
  18. 26 sq cm
  19. 50 cm
  20. 44 sq cm
  21. 11 cm
  22. 14 sq cm
  23. 11 cm
  24. 169 sq cm
  25. 80 sq cm
  26. 5 cm
  27. 22 sq cm
  28. 196 sq cm
  29. 2 cm
  30. 60 cm
  31. 8 cm
  32. 56 cm
  33. 8 cm
  34. 20 cm
  35. 44 cm
  36. 5 cm
  37. 8 cm
  38. 40 cm
  39. 170 sq cm
  40. 20 sq cm

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