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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 492 · 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 11 cm long and 6 cm wide. What is its area? (a) 77 sq cm (b) 66 sq cm (c) 34 sq cm (d) 17 sq cm
  2. 2.A rectangle has an area of 27 sq cm and a length of 9 cm. What is its width? (a) 18 cm (b) 4 cm (c) 3 cm (d) 6 cm
  3. 3.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 22 sq cm (c) 44 sq cm (d) 121 sq cm
  4. 4.A rectangle has an area of 180 sq cm and a length of 18 cm. What is its width? (a) 11 cm (b) 20 cm (c) 10 cm (d) 162 cm
  5. 5.A rectangle has an area of 6 sq cm and a length of 3 cm. What is its width? (a) 4 cm (b) 3 cm (c) 1 cm (d) 2 cm
  6. 6.A rectangle has an area of 52 sq cm and a length of 13 cm. What is its width? (a) 5 cm (b) 8 cm (c) 39 cm (d) 4 cm
  7. 7.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 49 sq cm (c) 36 sq cm (d) 24 sq cm
  8. 8.A rectangle is 15 cm long and 9 cm wide. What is its perimeter? (a) 135 cm (b) 39 cm (c) 24 cm (d) 48 cm
  9. 9.A rectangle is 13 cm long and 4 cm wide. What is its area? (a) 34 sq cm (b) 17 sq cm (c) 52 sq cm (d) 65 sq cm
  10. 10.A rectangle is 18 cm long and 7 cm wide. What is its perimeter? (a) 25 cm (b) 50 cm (c) 43 cm (d) 126 cm
  11. 11.A rectangle is 17 cm long and 6 cm wide. What is its area? (a) 23 sq cm (b) 102 sq cm (c) 46 sq cm (d) 119 sq cm
  12. 12.A rectangle has an area of 80 sq cm and a length of 10 cm. What is its width? (a) 16 cm (b) 8 cm (c) 70 cm (d) 9 cm
  13. 13.A rectangle is 15 cm long and 12 cm wide. What is its area? (a) 54 sq cm (b) 27 sq cm (c) 180 sq cm (d) 195 sq cm
  14. 14.A rectangle is 12 cm long and 9 cm wide. What is its perimeter? (a) 21 cm (b) 108 cm (c) 42 cm (d) 33 cm
  15. 15.A rectangle is 13 cm long and 8 cm wide. What is its perimeter? (a) 34 cm (b) 104 cm (c) 42 cm (d) 21 cm
  16. 16.A rectangle is 9 cm long and 7 cm wide. What is its area? (a) 32 sq cm (b) 63 sq cm (c) 16 sq cm (d) 72 sq cm
  17. 17.A rectangle is 14 cm long and 5 cm wide. What is its area? (a) 19 sq cm (b) 84 sq cm (c) 70 sq cm (d) 38 sq cm
  18. 18.A rectangle has an area of 30 sq cm and a length of 15 cm. What is its width? (a) 15 cm (b) 2 cm (c) 4 cm (d) 3 cm
  19. 19.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 28 sq cm (b) 35 sq cm (c) 22 sq cm (d) 11 sq cm
  20. 20.A rectangle has an area of 45 sq cm and a length of 9 cm. What is its width? (a) 6 cm (b) 5 cm (c) 36 cm (d) 10 cm
  21. 21.A rectangle is 13 cm long and 8 cm wide. What is its area? (a) 104 sq cm (b) 117 sq cm (c) 21 sq cm (d) 42 sq cm
  22. 22.A rectangle is 12 cm long and 8 cm wide. What is its area? (a) 108 sq cm (b) 96 sq cm (c) 20 sq cm (d) 40 sq cm
  23. 23.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 24 cm (b) 16 cm (c) 20 cm (d) 10 cm
  24. 24.A rectangle is 9 cm long and 2 cm wide. What is its perimeter? (a) 11 cm (b) 22 cm (c) 18 cm (d) 20 cm
  25. 25.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 20 sq cm (c) 25 sq cm (d) 36 sq cm
  26. 26.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 18 cm (b) 14 cm (c) 16 cm (d) 9 cm
  27. 27.A rectangle is 15 cm long and 2 cm wide. What is its perimeter? (a) 30 cm (b) 32 cm (c) 34 cm (d) 17 cm
  28. 28.A rectangle has an area of 140 sq cm and a length of 20 cm. What is its width? (a) 14 cm (b) 7 cm (c) 8 cm (d) 120 cm
  29. 29.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 8 sq cm (b) 18 sq cm (c) 12 sq cm (d) 16 sq cm
  30. 30.A rectangle is 12 cm long and 4 cm wide. What is its area? (a) 60 sq cm (b) 32 sq cm (c) 48 sq cm (d) 16 sq cm
  31. 31.A rectangle has an area of 99 sq cm and a length of 11 cm. What is its width? (a) 10 cm (b) 18 cm (c) 88 cm (d) 9 cm
  32. 32.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 11 cm (b) 24 cm (c) 22 cm (d) 19 cm
  33. 33.A rectangle has an area of 51 sq cm and a length of 17 cm. What is its width? (a) 4 cm (b) 34 cm (c) 3 cm (d) 6 cm
  34. 34.A rectangle has an area of 44 sq cm and a length of 11 cm. What is its width? (a) 5 cm (b) 8 cm (c) 33 cm (d) 4 cm
  35. 35.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 28 sq cm (c) 196 sq cm (d) 225 sq cm
  36. 36.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 169 sq cm (c) 24 sq cm (d) 144 sq cm
  37. 37.A rectangle is 9 cm long and 7 cm wide. What is its perimeter? (a) 63 cm (b) 32 cm (c) 16 cm (d) 25 cm
  38. 38.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 8 cm (c) 14 cm (d) 12 cm
  39. 39.A rectangle is 19 cm long and 12 cm wide. What is its area? (a) 31 sq cm (b) 228 sq cm (c) 62 sq cm (d) 247 sq cm
  40. 40.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

Answer key

  1. 66 sq cm
  2. 3 cm
  3. 121 sq cm
  4. 10 cm
  5. 2 cm
  6. 4 cm
  7. 36 sq cm
  8. 48 cm
  9. 52 sq cm
  10. 50 cm
  11. 102 sq cm
  12. 8 cm
  13. 180 sq cm
  14. 42 cm
  15. 42 cm
  16. 63 sq cm
  17. 70 sq cm
  18. 2 cm
  19. 28 sq cm
  20. 5 cm
  21. 104 sq cm
  22. 96 sq cm
  23. 20 cm
  24. 22 cm
  25. 25 sq cm
  26. 18 cm
  27. 34 cm
  28. 7 cm
  29. 12 sq cm
  30. 48 sq cm
  31. 9 cm
  32. 22 cm
  33. 3 cm
  34. 4 cm
  35. 196 sq cm
  36. 144 sq cm
  37. 32 cm
  38. 16 cm
  39. 228 sq cm
  40. 100 sq cm

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