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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 799 · 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 12 cm long and 3 cm wide. What is its area? (a) 30 sq cm (b) 48 sq cm (c) 15 sq cm (d) 36 sq cm
  2. 2.A rectangle is 11 cm long and 7 cm wide. What is its area? (a) 88 sq cm (b) 18 sq cm (c) 77 sq cm (d) 36 sq cm
  3. 3.A rectangle is 14 cm long and 6 cm wide. What is its area? (a) 40 sq cm (b) 20 sq cm (c) 98 sq cm (d) 84 sq cm
  4. 4.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 8 cm (b) 12 cm (c) 16 cm (d) 14 cm
  5. 5.A rectangle is 17 cm long and 8 cm wide. What is its area? (a) 25 sq cm (b) 136 sq cm (c) 153 sq cm (d) 50 sq cm
  6. 6.A rectangle has an area of 84 sq cm and a length of 14 cm. What is its width? (a) 7 cm (b) 12 cm (c) 6 cm (d) 70 cm
  7. 7.A rectangle is 19 cm long and 4 cm wide. What is its perimeter? (a) 23 cm (b) 46 cm (c) 76 cm (d) 42 cm
  8. 8.A rectangle is 14 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 28 sq cm (c) 32 sq cm (d) 42 sq cm
  9. 9.A rectangle is 13 cm long and 4 cm wide. What is its area? (a) 34 sq cm (b) 52 sq cm (c) 17 sq cm (d) 65 sq cm
  10. 10.A rectangle is 19 cm long and 5 cm wide. What is its area? (a) 48 sq cm (b) 114 sq cm (c) 95 sq cm (d) 24 sq cm
  11. 11.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 24 sq cm (b) 32 sq cm (c) 40 sq cm (d) 12 sq cm
  12. 12.A rectangle has an area of 99 sq cm and a length of 11 cm. What is its width? (a) 88 cm (b) 18 cm (c) 10 cm (d) 9 cm
  13. 13.A rectangle has an area of 54 sq cm and a length of 18 cm. What is its width? (a) 3 cm (b) 36 cm (c) 6 cm (d) 4 cm
  14. 14.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 144 sq cm (c) 24 sq cm (d) 48 sq cm
  15. 15.A rectangle is 8 cm long and 7 cm wide. What is its perimeter? (a) 56 cm (b) 30 cm (c) 15 cm (d) 23 cm
  16. 16.A rectangle is 12 cm long and 6 cm wide. What is its perimeter? (a) 36 cm (b) 18 cm (c) 30 cm (d) 72 cm
  17. 17.A rectangle has an area of 32 sq cm and a length of 16 cm. What is its width? (a) 3 cm (b) 16 cm (c) 4 cm (d) 2 cm
  18. 18.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 22 cm (b) 19 cm (c) 24 cm (d) 11 cm
  19. 19.A rectangle has an area of 180 sq cm and a length of 18 cm. What is its width? (a) 20 cm (b) 162 cm (c) 10 cm (d) 11 cm
  20. 20.A rectangle is 13 cm long and 8 cm wide. What is its perimeter? (a) 21 cm (b) 104 cm (c) 42 cm (d) 34 cm
  21. 21.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 100 sq cm (c) 20 sq cm (d) 40 sq cm
  22. 22.A rectangle has an area of 170 sq cm and a length of 17 cm. What is its width? (a) 20 cm (b) 153 cm (c) 11 cm (d) 10 cm
  23. 23.A rectangle has an area of 36 sq cm and a length of 12 cm. What is its width? (a) 6 cm (b) 24 cm (c) 3 cm (d) 4 cm
  24. 24.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 36 sq cm (c) 25 sq cm (d) 10 sq cm
  25. 25.A rectangle is 14 cm long and 11 cm wide. What is its perimeter? (a) 39 cm (b) 50 cm (c) 25 cm (d) 154 cm
  26. 26.A rectangle is 19 cm long and 9 cm wide. What is its perimeter? (a) 171 cm (b) 47 cm (c) 28 cm (d) 56 cm
  27. 27.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 16 cm (b) 10 cm (c) 20 cm (d) 24 cm
  28. 28.A rectangle is 10 cm long and 3 cm wide. What is its perimeter? (a) 23 cm (b) 13 cm (c) 26 cm (d) 30 cm
  29. 29.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 44 sq cm (c) 121 sq cm (d) 22 sq cm
  30. 30.A rectangle has an area of 68 sq cm and a length of 17 cm. What is its width? (a) 5 cm (b) 4 cm (c) 8 cm (d) 51 cm
  31. 31.A rectangle has an area of 60 sq cm and a length of 15 cm. What is its width? (a) 8 cm (b) 45 cm (c) 4 cm (d) 5 cm
  32. 32.A rectangle is 10 cm long and 6 cm wide. What is its area? (a) 70 sq cm (b) 32 sq cm (c) 16 sq cm (d) 60 sq cm
  33. 33.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 36 sq cm (c) 100 sq cm (d) 81 sq cm
  34. 34.A rectangle has an area of 40 sq cm and a length of 10 cm. What is its width? (a) 30 cm (b) 8 cm (c) 5 cm (d) 4 cm
  35. 35.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 26 sq cm (c) 196 sq cm (d) 169 sq cm
  36. 36.A rectangle is 19 cm long and 8 cm wide. What is its perimeter? (a) 54 cm (b) 152 cm (c) 27 cm (d) 46 cm
  37. 37.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 10 sq cm (b) 20 sq cm (c) 16 sq cm (d) 24 sq cm
  38. 38.A rectangle has an area of 112 sq cm and a length of 14 cm. What is its width? (a) 98 cm (b) 16 cm (c) 9 cm (d) 8 cm
  39. 39.A rectangle is 14 cm long and 10 cm wide. What is its perimeter? (a) 38 cm (b) 24 cm (c) 140 cm (d) 48 cm
  40. 40.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 18 sq cm (b) 19 sq cm (c) 24 sq cm (d) 9 sq cm

Answer key

  1. 36 sq cm
  2. 77 sq cm
  3. 84 sq cm
  4. 16 cm
  5. 136 sq cm
  6. 6 cm
  7. 46 cm
  8. 28 sq cm
  9. 52 sq cm
  10. 95 sq cm
  11. 32 sq cm
  12. 9 cm
  13. 3 cm
  14. 144 sq cm
  15. 30 cm
  16. 36 cm
  17. 2 cm
  18. 22 cm
  19. 10 cm
  20. 42 cm
  21. 100 sq cm
  22. 10 cm
  23. 3 cm
  24. 25 sq cm
  25. 50 cm
  26. 56 cm
  27. 20 cm
  28. 26 cm
  29. 121 sq cm
  30. 4 cm
  31. 4 cm
  32. 60 sq cm
  33. 81 sq cm
  34. 4 cm
  35. 169 sq cm
  36. 54 cm
  37. 16 sq cm
  38. 8 cm
  39. 48 cm
  40. 18 sq cm

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