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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 667 · 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 7 cm wide. What is its area? (a) 30 sq cm (b) 56 sq cm (c) 15 sq cm (d) 64 sq cm
  2. 2.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 14 sq cm (c) 28 sq cm (d) 49 sq cm
  3. 3.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 20 sq cm (c) 40 sq cm (d) 100 sq cm
  4. 4.A rectangle has an area of 63 sq cm and a length of 9 cm. What is its width? (a) 8 cm (b) 7 cm (c) 14 cm (d) 54 cm
  5. 5.A rectangle is 14 cm long and 11 cm wide. What is its area? (a) 25 sq cm (b) 168 sq cm (c) 154 sq cm (d) 50 sq cm
  6. 6.A rectangle is 13 cm long and 10 cm wide. What is its perimeter? (a) 23 cm (b) 36 cm (c) 46 cm (d) 130 cm
  7. 7.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 225 sq cm (c) 60 sq cm (d) 30 sq cm
  8. 8.A rectangle is 13 cm long and 6 cm wide. What is its area? (a) 19 sq cm (b) 91 sq cm (c) 78 sq cm (d) 38 sq cm
  9. 9.A square has a perimeter of 52 cm. What is its area? (a) 169 sq cm (b) 196 sq cm (c) 26 sq cm (d) 52 sq cm
  10. 10.A rectangle is 13 cm long and 7 cm wide. What is its area? (a) 20 sq cm (b) 40 sq cm (c) 91 sq cm (d) 104 sq cm
  11. 11.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
  12. 12.A rectangle is 18 cm long and 10 cm wide. What is its perimeter? (a) 180 cm (b) 56 cm (c) 46 cm (d) 28 cm
  13. 13.A rectangle is 18 cm long and 5 cm wide. What is its perimeter? (a) 90 cm (b) 41 cm (c) 23 cm (d) 46 cm
  14. 14.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 32 sq cm (c) 22 sq cm (d) 11 sq cm
  15. 15.A rectangle is 17 cm long and 7 cm wide. What is its area? (a) 119 sq cm (b) 136 sq cm (c) 24 sq cm (d) 48 sq cm
  16. 16.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 36 sq cm (c) 20 sq cm (d) 25 sq cm
  17. 17.A rectangle is 10 cm long and 8 cm wide. What is its area? (a) 90 sq cm (b) 18 sq cm (c) 80 sq cm (d) 36 sq cm
  18. 18.A rectangle is 18 cm long and 8 cm wide. What is its perimeter? (a) 144 cm (b) 52 cm (c) 26 cm (d) 44 cm
  19. 19.A rectangle has an area of 40 sq cm and a length of 8 cm. What is its width? (a) 6 cm (b) 10 cm (c) 32 cm (d) 5 cm
  20. 20.A rectangle has an area of 150 sq cm and a length of 15 cm. What is its width? (a) 20 cm (b) 10 cm (c) 135 cm (d) 11 cm
  21. 21.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
  22. 22.A rectangle is 14 cm long and 2 cm wide. What is its perimeter? (a) 32 cm (b) 30 cm (c) 16 cm (d) 28 cm
  23. 23.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
  24. 24.A rectangle has an area of 80 sq cm and a length of 16 cm. What is its width? (a) 6 cm (b) 5 cm (c) 10 cm (d) 64 cm
  25. 25.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 9 sq cm (c) 21 sq cm (d) 14 sq cm
  26. 26.A rectangle is 10 cm long and 6 cm wide. What is its perimeter? (a) 32 cm (b) 60 cm (c) 16 cm (d) 26 cm
  27. 27.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
  28. 28.A rectangle has an area of 48 sq cm and a length of 12 cm. What is its width? (a) 8 cm (b) 4 cm (c) 36 cm (d) 5 cm
  29. 29.A square has a perimeter of 36 cm. What is its area? (a) 81 sq cm (b) 18 sq cm (c) 36 sq cm (d) 100 sq cm
  30. 30.A rectangle has an area of 135 sq cm and a length of 15 cm. What is its width? (a) 120 cm (b) 9 cm (c) 10 cm (d) 18 cm
  31. 31.A rectangle has an area of 192 sq cm and a length of 16 cm. What is its width? (a) 12 cm (b) 24 cm (c) 176 cm (d) 13 cm
  32. 32.A rectangle is 20 cm long and 10 cm wide. What is its perimeter? (a) 60 cm (b) 30 cm (c) 200 cm (d) 50 cm
  33. 33.A rectangle is 16 cm long and 2 cm wide. What is its perimeter? (a) 36 cm (b) 34 cm (c) 32 cm (d) 18 cm
  34. 34.A rectangle is 11 cm long and 8 cm wide. What is its area? (a) 19 sq cm (b) 38 sq cm (c) 88 sq cm (d) 99 sq cm
  35. 35.A rectangle is 9 cm long and 4 cm wide. What is its perimeter? (a) 22 cm (b) 26 cm (c) 13 cm (d) 36 cm
  36. 36.A rectangle is 20 cm long and 11 cm wide. What is its area? (a) 240 sq cm (b) 220 sq cm (c) 62 sq cm (d) 31 sq cm
  37. 37.A rectangle has an area of 24 sq cm and a length of 12 cm. What is its width? (a) 4 cm (b) 12 cm (c) 2 cm (d) 3 cm
  38. 38.A rectangle is 19 cm long and 7 cm wide. What is its area? (a) 26 sq cm (b) 133 sq cm (c) 152 sq cm (d) 52 sq cm
  39. 39.A rectangle is 12 cm long and 7 cm wide. What is its area? (a) 19 sq cm (b) 84 sq cm (c) 96 sq cm (d) 38 sq cm
  40. 40.A rectangle is 15 cm long and 10 cm wide. What is its perimeter? (a) 150 cm (b) 40 cm (c) 50 cm (d) 25 cm

Answer key

  1. 56 sq cm
  2. 49 sq cm
  3. 100 sq cm
  4. 7 cm
  5. 154 sq cm
  6. 46 cm
  7. 225 sq cm
  8. 78 sq cm
  9. 169 sq cm
  10. 91 sq cm
  11. 121 sq cm
  12. 56 cm
  13. 46 cm
  14. 24 sq cm
  15. 119 sq cm
  16. 25 sq cm
  17. 80 sq cm
  18. 52 cm
  19. 5 cm
  20. 10 cm
  21. 16 cm
  22. 32 cm
  23. 112 sq cm
  24. 5 cm
  25. 14 sq cm
  26. 32 cm
  27. 5 cm
  28. 4 cm
  29. 81 sq cm
  30. 9 cm
  31. 12 cm
  32. 60 cm
  33. 36 cm
  34. 88 sq cm
  35. 26 cm
  36. 220 sq cm
  37. 2 cm
  38. 133 sq cm
  39. 84 sq cm
  40. 50 cm

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