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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 796 · 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 48 cm. What is its area? (a) 144 sq cm (b) 24 sq cm (c) 48 sq cm (d) 169 sq cm
  2. 2.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 25 sq cm (c) 36 sq cm (d) 10 sq cm
  3. 3.A rectangle is 16 cm long and 7 cm wide. What is its area? (a) 112 sq cm (b) 128 sq cm (c) 46 sq cm (d) 23 sq cm
  4. 4.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 9 sq cm (b) 18 sq cm (c) 14 sq cm (d) 21 sq cm
  5. 5.A rectangle is 10 cm long and 2 cm wide. What is its area? (a) 30 sq cm (b) 24 sq cm (c) 12 sq cm (d) 20 sq cm
  6. 6.A rectangle has an area of 153 sq cm and a length of 17 cm. What is its width? (a) 9 cm (b) 18 cm (c) 136 cm (d) 10 cm
  7. 7.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 30 sq cm (c) 60 sq cm (d) 225 sq cm
  8. 8.A rectangle is 16 cm long and 5 cm wide. What is its perimeter? (a) 37 cm (b) 21 cm (c) 42 cm (d) 80 cm
  9. 9.A rectangle has an area of 63 sq cm and a length of 9 cm. What is its width? (a) 8 cm (b) 54 cm (c) 14 cm (d) 7 cm
  10. 10.A rectangle is 18 cm long and 8 cm wide. What is its perimeter? (a) 144 cm (b) 26 cm (c) 44 cm (d) 52 cm
  11. 11.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 56 sq cm (c) 28 sq cm (d) 225 sq cm
  12. 12.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 22 sq cm (b) 36 sq cm (c) 30 sq cm (d) 11 sq cm
  13. 13.A rectangle is 12 cm long and 9 cm wide. What is its area? (a) 108 sq cm (b) 21 sq cm (c) 120 sq cm (d) 42 sq cm
  14. 14.A rectangle is 15 cm long and 6 cm wide. What is its area? (a) 21 sq cm (b) 42 sq cm (c) 105 sq cm (d) 90 sq cm
  15. 15.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) 22 cm (d) 130 cm
  16. 16.A rectangle is 12 cm long and 8 cm wide. What is its area? (a) 108 sq cm (b) 20 sq cm (c) 96 sq cm (d) 40 sq cm
  17. 17.A rectangle is 10 cm long and 5 cm wide. What is its area? (a) 50 sq cm (b) 30 sq cm (c) 60 sq cm (d) 15 sq cm
  18. 18.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 64 sq cm (c) 81 sq cm (d) 32 sq cm
  19. 19.A rectangle has an area of 40 sq cm and a length of 10 cm. What is its width? (a) 30 cm (b) 5 cm (c) 8 cm (d) 4 cm
  20. 20.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) 2 cm (d) 3 cm
  21. 21.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) 60 cm (d) 6 cm
  22. 22.A rectangle is 20 cm long and 2 cm wide. What is its perimeter? (a) 42 cm (b) 44 cm (c) 40 cm (d) 22 cm
  23. 23.A rectangle is 11 cm long and 5 cm wide. What is its perimeter? (a) 32 cm (b) 27 cm (c) 16 cm (d) 55 cm
  24. 24.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 20 cm (b) 26 cm (c) 13 cm (d) 42 cm
  25. 25.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 10 sq cm (c) 20 sq cm (d) 24 sq cm
  26. 26.A rectangle has an area of 90 sq cm and a length of 15 cm. What is its width? (a) 7 cm (b) 6 cm (c) 12 cm (d) 75 cm
  27. 27.A rectangle is 9 cm long and 4 cm wide. What is its perimeter? (a) 36 cm (b) 13 cm (c) 22 cm (d) 26 cm
  28. 28.A rectangle is 17 cm long and 3 cm wide. What is its area? (a) 20 sq cm (b) 40 sq cm (c) 51 sq cm (d) 68 sq cm
  29. 29.A rectangle has an area of 35 sq cm and a length of 7 cm. What is its width? (a) 5 cm (b) 28 cm (c) 6 cm (d) 10 cm
  30. 30.A rectangle is 9 cm long and 7 cm wide. What is its perimeter? (a) 32 cm (b) 16 cm (c) 25 cm (d) 63 cm
  31. 31.A rectangle has an area of 228 sq cm and a length of 19 cm. What is its width? (a) 13 cm (b) 209 cm (c) 12 cm (d) 24 cm
  32. 32.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 24 cm (b) 19 cm (c) 35 cm (d) 12 cm
  33. 33.A rectangle has an area of 80 sq cm and a length of 20 cm. What is its width? (a) 8 cm (b) 5 cm (c) 4 cm (d) 60 cm
  34. 34.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 26 sq cm (b) 49 sq cm (c) 13 sq cm (d) 42 sq cm
  35. 35.A rectangle has an area of 220 sq cm and a length of 20 cm. What is its width? (a) 11 cm (b) 22 cm (c) 12 cm (d) 200 cm
  36. 36.A rectangle is 20 cm long and 2 cm wide. What is its area? (a) 22 sq cm (b) 60 sq cm (c) 40 sq cm (d) 44 sq cm
  37. 37.A rectangle is 8 cm long and 4 cm wide. What is its perimeter? (a) 20 cm (b) 32 cm (c) 12 cm (d) 24 cm
  38. 38.A rectangle has an area of 30 sq cm and a length of 6 cm. What is its width? (a) 6 cm (b) 24 cm (c) 10 cm (d) 5 cm
  39. 39.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
  40. 40.A rectangle has an area of 240 sq cm and a length of 20 cm. What is its width? (a) 220 cm (b) 13 cm (c) 12 cm (d) 24 cm

Answer key

  1. 144 sq cm
  2. 25 sq cm
  3. 112 sq cm
  4. 14 sq cm
  5. 20 sq cm
  6. 9 cm
  7. 225 sq cm
  8. 42 cm
  9. 7 cm
  10. 52 cm
  11. 196 sq cm
  12. 30 sq cm
  13. 108 sq cm
  14. 90 sq cm
  15. 11 cm
  16. 96 sq cm
  17. 50 sq cm
  18. 64 sq cm
  19. 4 cm
  20. 2 cm
  21. 5 cm
  22. 44 cm
  23. 32 cm
  24. 26 cm
  25. 16 sq cm
  26. 6 cm
  27. 26 cm
  28. 51 sq cm
  29. 5 cm
  30. 32 cm
  31. 12 cm
  32. 24 cm
  33. 4 cm
  34. 42 sq cm
  35. 11 cm
  36. 40 sq cm
  37. 24 cm
  38. 5 cm
  39. 169 sq cm
  40. 12 cm

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