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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 568 · 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 has an area of 6 sq cm and a length of 3 cm. What is its width? (a) 4 cm (b) 1 cm (c) 2 cm (d) 3 cm
  2. 2.A rectangle is 20 cm long and 10 cm wide. What is its area? (a) 30 sq cm (b) 200 sq cm (c) 220 sq cm (d) 60 sq cm
  3. 3.A rectangle is 13 cm long and 10 cm wide. What is its area? (a) 143 sq cm (b) 23 sq cm (c) 46 sq cm (d) 130 sq cm
  4. 4.A rectangle is 11 cm long and 7 cm wide. What is its perimeter? (a) 29 cm (b) 77 cm (c) 18 cm (d) 36 cm
  5. 5.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 121 sq cm (c) 40 sq cm (d) 100 sq cm
  6. 6.A rectangle has an area of 112 sq cm and a length of 16 cm. What is its width? (a) 96 cm (b) 14 cm (c) 7 cm (d) 8 cm
  7. 7.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 20 sq cm (c) 25 sq cm (d) 10 sq cm
  8. 8.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 144 sq cm (c) 169 sq cm (d) 48 sq cm
  9. 9.A rectangle is 15 cm long and 7 cm wide. What is its area? (a) 105 sq cm (b) 120 sq cm (c) 22 sq cm (d) 44 sq cm
  10. 10.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 20 cm (c) 18 cm (d) 10 cm
  11. 11.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 32 sq cm (c) 64 sq cm (d) 81 sq cm
  12. 12.A rectangle is 13 cm long and 7 cm wide. What is its perimeter? (a) 33 cm (b) 20 cm (c) 91 cm (d) 40 cm
  13. 13.A rectangle is 11 cm long and 3 cm wide. What is its perimeter? (a) 25 cm (b) 14 cm (c) 33 cm (d) 28 cm
  14. 14.A rectangle is 14 cm long and 4 cm wide. What is its perimeter? (a) 18 cm (b) 36 cm (c) 32 cm (d) 56 cm
  15. 15.A rectangle has an area of 28 sq cm and a length of 7 cm. What is its width? (a) 21 cm (b) 8 cm (c) 4 cm (d) 5 cm
  16. 16.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 30 sq cm (c) 225 sq cm (d) 60 sq cm
  17. 17.A rectangle is 15 cm long and 7 cm wide. What is its perimeter? (a) 22 cm (b) 44 cm (c) 105 cm (d) 37 cm
  18. 18.A rectangle has an area of 176 sq cm and a length of 16 cm. What is its width? (a) 160 cm (b) 11 cm (c) 12 cm (d) 22 cm
  19. 19.A rectangle is 10 cm long and 2 cm wide. What is its area? (a) 30 sq cm (b) 20 sq cm (c) 24 sq cm (d) 12 sq cm
  20. 20.A square has a perimeter of 52 cm. What is its area? (a) 169 sq cm (b) 196 sq cm (c) 52 sq cm (d) 26 sq cm
  21. 21.A rectangle is 18 cm long and 4 cm wide. What is its area? (a) 72 sq cm (b) 44 sq cm (c) 22 sq cm (d) 90 sq cm
  22. 22.A rectangle has an area of 96 sq cm and a length of 12 cm. What is its width? (a) 8 cm (b) 84 cm (c) 9 cm (d) 16 cm
  23. 23.A rectangle is 20 cm long and 6 cm wide. What is its perimeter? (a) 26 cm (b) 52 cm (c) 120 cm (d) 46 cm
  24. 24.A rectangle is 19 cm long and 9 cm wide. What is its area? (a) 56 sq cm (b) 28 sq cm (c) 171 sq cm (d) 190 sq cm
  25. 25.A rectangle has an area of 119 sq cm and a length of 17 cm. What is its width? (a) 8 cm (b) 7 cm (c) 14 cm (d) 102 cm
  26. 26.A rectangle is 17 cm long and 8 cm wide. What is its area? (a) 50 sq cm (b) 153 sq cm (c) 25 sq cm (d) 136 sq cm
  27. 27.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
  28. 28.A rectangle is 11 cm long and 9 cm wide. What is its area? (a) 40 sq cm (b) 110 sq cm (c) 20 sq cm (d) 99 sq cm
  29. 29.A rectangle has an area of 200 sq cm and a length of 20 cm. What is its width? (a) 10 cm (b) 180 cm (c) 20 cm (d) 11 cm
  30. 30.A rectangle is 18 cm long and 6 cm wide. What is its area? (a) 24 sq cm (b) 48 sq cm (c) 108 sq cm (d) 126 sq cm
  31. 31.A rectangle has an area of 102 sq cm and a length of 17 cm. What is its width? (a) 12 cm (b) 85 cm (c) 7 cm (d) 6 cm
  32. 32.A rectangle has an area of 51 sq cm and a length of 17 cm. What is its width? (a) 34 cm (b) 6 cm (c) 3 cm (d) 4 cm
  33. 33.A rectangle has an area of 150 sq cm and a length of 15 cm. What is its width? (a) 10 cm (b) 20 cm (c) 11 cm (d) 135 cm
  34. 34.A rectangle has an area of 80 sq cm and a length of 16 cm. What is its width? (a) 6 cm (b) 10 cm (c) 5 cm (d) 64 cm
  35. 35.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
  36. 36.A rectangle is 18 cm long and 2 cm wide. What is its area? (a) 36 sq cm (b) 40 sq cm (c) 54 sq cm (d) 20 sq cm
  37. 37.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
  38. 38.A rectangle is 15 cm long and 6 cm wide. What is its area? (a) 42 sq cm (b) 21 sq cm (c) 105 sq cm (d) 90 sq cm
  39. 39.A rectangle is 15 cm long and 5 cm wide. What is its perimeter? (a) 35 cm (b) 20 cm (c) 75 cm (d) 40 cm
  40. 40.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 196 sq cm (c) 56 sq cm (d) 225 sq cm

Answer key

  1. 2 cm
  2. 200 sq cm
  3. 130 sq cm
  4. 36 cm
  5. 100 sq cm
  6. 7 cm
  7. 25 sq cm
  8. 144 sq cm
  9. 105 sq cm
  10. 20 cm
  11. 64 sq cm
  12. 40 cm
  13. 28 cm
  14. 36 cm
  15. 4 cm
  16. 225 sq cm
  17. 44 cm
  18. 11 cm
  19. 20 sq cm
  20. 169 sq cm
  21. 72 sq cm
  22. 8 cm
  23. 52 cm
  24. 171 sq cm
  25. 7 cm
  26. 136 sq cm
  27. 119 sq cm
  28. 99 sq cm
  29. 10 cm
  30. 108 sq cm
  31. 6 cm
  32. 3 cm
  33. 10 cm
  34. 5 cm
  35. 50 cm
  36. 36 sq cm
  37. 49 sq cm
  38. 90 sq cm
  39. 40 cm
  40. 196 sq cm

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