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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 851 · 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 16 cm long and 3 cm wide. What is its area? (a) 38 sq cm (b) 64 sq cm (c) 19 sq cm (d) 48 sq cm
  2. 2.A square has a perimeter of 52 cm. What is its area? (a) 26 sq cm (b) 196 sq cm (c) 169 sq cm (d) 52 sq cm
  3. 3.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 22 cm (b) 11 cm (c) 30 cm (d) 17 cm
  4. 4.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 64 sq cm (c) 28 sq cm (d) 49 sq cm
  5. 5.A rectangle is 18 cm long and 5 cm wide. What is its perimeter? (a) 41 cm (b) 46 cm (c) 23 cm (d) 90 cm
  6. 6.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
  7. 7.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 16 sq cm (c) 81 sq cm (d) 64 sq cm
  8. 8.A rectangle is 15 cm long and 6 cm wide. What is its perimeter? (a) 36 cm (b) 21 cm (c) 90 cm (d) 42 cm
  9. 9.A rectangle has an area of 209 sq cm and a length of 19 cm. What is its width? (a) 190 cm (b) 12 cm (c) 22 cm (d) 11 cm
  10. 10.A rectangle is 15 cm long and 6 cm wide. What is its area? (a) 21 sq cm (b) 90 sq cm (c) 42 sq cm (d) 105 sq cm
  11. 11.A rectangle is 10 cm long and 3 cm wide. What is its area? (a) 13 sq cm (b) 26 sq cm (c) 40 sq cm (d) 30 sq cm
  12. 12.A rectangle has an area of 30 sq cm and a length of 15 cm. What is its width? (a) 3 cm (b) 15 cm (c) 2 cm (d) 4 cm
  13. 13.A rectangle is 17 cm long and 7 cm wide. What is its area? (a) 119 sq cm (b) 48 sq cm (c) 24 sq cm (d) 136 sq cm
  14. 14.A rectangle has an area of 72 sq cm and a length of 9 cm. What is its width? (a) 16 cm (b) 8 cm (c) 9 cm (d) 63 cm
  15. 15.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 9 sq cm (b) 21 sq cm (c) 14 sq cm (d) 18 sq cm
  16. 16.A rectangle is 19 cm long and 11 cm wide. What is its area? (a) 30 sq cm (b) 228 sq cm (c) 209 sq cm (d) 60 sq cm
  17. 17.A rectangle has an area of 156 sq cm and a length of 13 cm. What is its width? (a) 12 cm (b) 24 cm (c) 13 cm (d) 143 cm
  18. 18.A rectangle is 16 cm long and 11 cm wide. What is its area? (a) 176 sq cm (b) 54 sq cm (c) 192 sq cm (d) 27 sq cm
  19. 19.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 20 sq cm (c) 10 sq cm (d) 36 sq cm
  20. 20.A rectangle has an area of 165 sq cm and a length of 15 cm. What is its width? (a) 22 cm (b) 11 cm (c) 12 cm (d) 150 cm
  21. 21.A rectangle has an area of 24 sq cm and a length of 12 cm. What is its width? (a) 3 cm (b) 4 cm (c) 2 cm (d) 12 cm
  22. 22.A rectangle is 10 cm long and 5 cm wide. What is its perimeter? (a) 30 cm (b) 50 cm (c) 15 cm (d) 25 cm
  23. 23.A rectangle has an area of 187 sq cm and a length of 17 cm. What is its width? (a) 11 cm (b) 22 cm (c) 12 cm (d) 170 cm
  24. 24.A rectangle has an area of 33 sq cm and a length of 11 cm. What is its width? (a) 4 cm (b) 6 cm (c) 22 cm (d) 3 cm
  25. 25.A rectangle has an area of 16 sq cm and a length of 8 cm. What is its width? (a) 8 cm (b) 4 cm (c) 2 cm (d) 3 cm
  26. 26.A rectangle is 14 cm long and 9 cm wide. What is its area? (a) 46 sq cm (b) 140 sq cm (c) 23 sq cm (d) 126 sq cm
  27. 27.A rectangle is 17 cm long and 4 cm wide. What is its area? (a) 85 sq cm (b) 68 sq cm (c) 21 sq cm (d) 42 sq cm
  28. 28.A rectangle is 14 cm long and 4 cm wide. What is its area? (a) 18 sq cm (b) 70 sq cm (c) 56 sq cm (d) 36 sq cm
  29. 29.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 32 sq cm (c) 11 sq cm (d) 22 sq cm
  30. 30.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 24 sq cm (b) 30 sq cm (c) 10 sq cm (d) 20 sq cm
  31. 31.A rectangle is 13 cm long and 12 cm wide. What is its area? (a) 156 sq cm (b) 25 sq cm (c) 169 sq cm (d) 50 sq cm
  32. 32.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 19 cm (b) 35 cm (c) 24 cm (d) 12 cm
  33. 33.A rectangle is 16 cm long and 6 cm wide. What is its perimeter? (a) 22 cm (b) 44 cm (c) 96 cm (d) 38 cm
  34. 34.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 121 sq cm (c) 20 sq cm (d) 100 sq cm
  35. 35.A rectangle is 14 cm long and 7 cm wide. What is its area? (a) 42 sq cm (b) 21 sq cm (c) 112 sq cm (d) 98 sq cm
  36. 36.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 12 sq cm (c) 36 sq cm (d) 24 sq cm
  37. 37.A rectangle is 16 cm long and 7 cm wide. What is its area? (a) 46 sq cm (b) 23 sq cm (c) 128 sq cm (d) 112 sq cm
  38. 38.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
  39. 39.A rectangle has an area of 68 sq cm and a length of 17 cm. What is its width? (a) 5 cm (b) 51 cm (c) 8 cm (d) 4 cm
  40. 40.A rectangle is 20 cm long and 6 cm wide. What is its area? (a) 120 sq cm (b) 26 sq cm (c) 52 sq cm (d) 140 sq cm

Answer key

  1. 48 sq cm
  2. 169 sq cm
  3. 22 cm
  4. 49 sq cm
  5. 46 cm
  6. 16 sq cm
  7. 64 sq cm
  8. 42 cm
  9. 11 cm
  10. 90 sq cm
  11. 30 sq cm
  12. 2 cm
  13. 119 sq cm
  14. 8 cm
  15. 14 sq cm
  16. 209 sq cm
  17. 12 cm
  18. 176 sq cm
  19. 25 sq cm
  20. 11 cm
  21. 2 cm
  22. 30 cm
  23. 11 cm
  24. 3 cm
  25. 2 cm
  26. 126 sq cm
  27. 68 sq cm
  28. 56 sq cm
  29. 24 sq cm
  30. 24 sq cm
  31. 156 sq cm
  32. 24 cm
  33. 44 cm
  34. 100 sq cm
  35. 98 sq cm
  36. 36 sq cm
  37. 112 sq cm
  38. 196 sq cm
  39. 4 cm
  40. 120 sq cm

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