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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 500 · 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 6 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 12 sq cm (c) 8 sq cm (d) 16 sq cm
  2. 2.A rectangle is 9 cm long and 6 cm wide. What is its perimeter? (a) 54 cm (b) 24 cm (c) 15 cm (d) 30 cm
  3. 3.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 42 cm (b) 26 cm (c) 20 cm (d) 13 cm
  4. 4.A rectangle is 9 cm long and 8 cm wide. What is its area? (a) 17 sq cm (b) 72 sq cm (c) 34 sq cm (d) 81 sq cm
  5. 5.A rectangle has an area of 130 sq cm and a length of 13 cm. What is its width? (a) 11 cm (b) 20 cm (c) 10 cm (d) 117 cm
  6. 6.A rectangle has an area of 84 sq cm and a length of 12 cm. What is its width? (a) 72 cm (b) 8 cm (c) 14 cm (d) 7 cm
  7. 7.A rectangle is 10 cm long and 5 cm wide. What is its area? (a) 30 sq cm (b) 50 sq cm (c) 60 sq cm (d) 15 sq cm
  8. 8.A rectangle is 16 cm long and 11 cm wide. What is its perimeter? (a) 27 cm (b) 43 cm (c) 54 cm (d) 176 cm
  9. 9.A square has a perimeter of 44 cm. What is its area? (a) 121 sq cm (b) 44 sq cm (c) 22 sq cm (d) 144 sq cm
  10. 10.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) 96 cm (d) 10 cm
  11. 11.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
  12. 12.A rectangle is 19 cm long and 9 cm wide. What is its area? (a) 190 sq cm (b) 171 sq cm (c) 28 sq cm (d) 56 sq cm
  13. 13.A rectangle has an area of 117 sq cm and a length of 13 cm. What is its width? (a) 18 cm (b) 10 cm (c) 9 cm (d) 104 cm
  14. 14.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 196 sq cm (c) 28 sq cm (d) 225 sq cm
  15. 15.A rectangle has an area of 171 sq cm and a length of 19 cm. What is its width? (a) 10 cm (b) 18 cm (c) 9 cm (d) 152 cm
  16. 16.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 36 sq cm (c) 12 sq cm (d) 24 sq cm
  17. 17.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
  18. 18.A rectangle is 19 cm long and 2 cm wide. What is its perimeter? (a) 21 cm (b) 38 cm (c) 40 cm (d) 42 cm
  19. 19.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 24 sq cm (b) 16 sq cm (c) 20 sq cm (d) 10 sq cm
  20. 20.A rectangle is 20 cm long and 8 cm wide. What is its area? (a) 28 sq cm (b) 56 sq cm (c) 160 sq cm (d) 180 sq cm
  21. 21.A rectangle is 16 cm long and 7 cm wide. What is its area? (a) 128 sq cm (b) 23 sq cm (c) 46 sq cm (d) 112 sq cm
  22. 22.A rectangle is 20 cm long and 5 cm wide. What is its perimeter? (a) 100 cm (b) 25 cm (c) 45 cm (d) 50 cm
  23. 23.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 14 cm (c) 9 cm (d) 18 cm
  24. 24.A rectangle is 12 cm long and 6 cm wide. What is its perimeter? (a) 36 cm (b) 30 cm (c) 18 cm (d) 72 cm
  25. 25.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 225 sq cm (c) 256 sq cm (d) 60 sq cm
  26. 26.A rectangle is 18 cm long and 7 cm wide. What is its perimeter? (a) 43 cm (b) 50 cm (c) 126 cm (d) 25 cm
  27. 27.A rectangle is 12 cm long and 2 cm wide. What is its area? (a) 14 sq cm (b) 36 sq cm (c) 28 sq cm (d) 24 sq cm
  28. 28.A rectangle has an area of 55 sq cm and a length of 11 cm. What is its width? (a) 6 cm (b) 5 cm (c) 44 cm (d) 10 cm
  29. 29.A rectangle is 11 cm long and 7 cm wide. What is its area? (a) 36 sq cm (b) 88 sq cm (c) 18 sq cm (d) 77 sq cm
  30. 30.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 40 sq cm (c) 20 sq cm (d) 100 sq cm
  31. 31.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 12 cm (b) 16 cm (c) 8 cm (d) 14 cm
  32. 32.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 11 sq cm (b) 30 sq cm (c) 22 sq cm (d) 36 sq cm
  33. 33.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 21 sq cm (b) 14 sq cm (c) 18 sq cm (d) 9 sq cm
  34. 34.A rectangle is 13 cm long and 11 cm wide. What is its perimeter? (a) 24 cm (b) 37 cm (c) 48 cm (d) 143 cm
  35. 35.A rectangle is 8 cm long and 6 cm wide. What is its perimeter? (a) 22 cm (b) 14 cm (c) 28 cm (d) 48 cm
  36. 36.A rectangle has an area of 40 sq cm and a length of 10 cm. What is its width? (a) 4 cm (b) 8 cm (c) 30 cm (d) 5 cm
  37. 37.A rectangle has an area of 20 sq cm and a length of 5 cm. What is its width? (a) 8 cm (b) 15 cm (c) 4 cm (d) 5 cm
  38. 38.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
  39. 39.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 100 sq cm (c) 36 sq cm (d) 81 sq cm
  40. 40.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

Answer key

  1. 12 sq cm
  2. 30 cm
  3. 26 cm
  4. 72 sq cm
  5. 10 cm
  6. 7 cm
  7. 50 sq cm
  8. 54 cm
  9. 121 sq cm
  10. 9 cm
  11. 64 sq cm
  12. 171 sq cm
  13. 9 cm
  14. 196 sq cm
  15. 9 cm
  16. 36 sq cm
  17. 169 sq cm
  18. 42 cm
  19. 16 sq cm
  20. 160 sq cm
  21. 112 sq cm
  22. 50 cm
  23. 18 cm
  24. 36 cm
  25. 225 sq cm
  26. 50 cm
  27. 24 sq cm
  28. 5 cm
  29. 77 sq cm
  30. 100 sq cm
  31. 16 cm
  32. 30 sq cm
  33. 14 sq cm
  34. 48 cm
  35. 28 cm
  36. 4 cm
  37. 4 cm
  38. 144 sq cm
  39. 81 sq cm
  40. 25 sq cm

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