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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 722 · 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 20 cm long and 12 cm wide. What is its area? (a) 240 sq cm (b) 32 sq cm (c) 64 sq cm (d) 260 sq cm
  2. 2.A rectangle is 8 cm long and 6 cm wide. What is its perimeter? (a) 14 cm (b) 28 cm (c) 48 cm (d) 22 cm
  3. 3.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 256 sq cm (c) 225 sq cm (d) 60 sq cm
  4. 4.A rectangle has an area of 45 sq cm and a length of 15 cm. What is its width? (a) 30 cm (b) 4 cm (c) 3 cm (d) 6 cm
  5. 5.A rectangle is 18 cm long and 11 cm wide. What is its area? (a) 216 sq cm (b) 58 sq cm (c) 29 sq cm (d) 198 sq cm
  6. 6.A rectangle is 20 cm long and 5 cm wide. What is its area? (a) 120 sq cm (b) 25 sq cm (c) 50 sq cm (d) 100 sq cm
  7. 7.A rectangle has an area of 180 sq cm and a length of 15 cm. What is its width? (a) 165 cm (b) 13 cm (c) 24 cm (d) 12 cm
  8. 8.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 14 cm (c) 9 cm (d) 18 cm
  9. 9.A rectangle has an area of 160 sq cm and a length of 16 cm. What is its width? (a) 10 cm (b) 20 cm (c) 144 cm (d) 11 cm
  10. 10.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 52 sq cm (c) 26 sq cm (d) 169 sq cm
  11. 11.A rectangle has an area of 70 sq cm and a length of 14 cm. What is its width? (a) 56 cm (b) 5 cm (c) 10 cm (d) 6 cm
  12. 12.A rectangle is 15 cm long and 12 cm wide. What is its area? (a) 54 sq cm (b) 195 sq cm (c) 180 sq cm (d) 27 sq cm
  13. 13.A rectangle is 11 cm long and 5 cm wide. What is its perimeter? (a) 55 cm (b) 27 cm (c) 16 cm (d) 32 cm
  14. 14.A rectangle has an area of 48 sq cm and a length of 16 cm. What is its width? (a) 3 cm (b) 4 cm (c) 6 cm (d) 32 cm
  15. 15.A rectangle is 16 cm long and 3 cm wide. What is its perimeter? (a) 19 cm (b) 38 cm (c) 35 cm (d) 48 cm
  16. 16.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 25 sq cm (c) 20 sq cm (d) 36 sq cm
  17. 17.A rectangle is 9 cm long and 8 cm wide. What is its area? (a) 72 sq cm (b) 81 sq cm (c) 17 sq cm (d) 34 sq cm
  18. 18.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 36 sq cm (c) 24 sq cm (d) 49 sq cm
  19. 19.A rectangle is 12 cm long and 2 cm wide. What is its area? (a) 14 sq cm (b) 36 sq cm (c) 24 sq cm (d) 28 sq cm
  20. 20.A rectangle has an area of 60 sq cm and a length of 20 cm. What is its width? (a) 4 cm (b) 6 cm (c) 3 cm (d) 40 cm
  21. 21.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 24 sq cm (b) 35 sq cm (c) 12 sq cm (d) 42 sq cm
  22. 22.A rectangle is 10 cm long and 9 cm wide. What is its perimeter? (a) 38 cm (b) 29 cm (c) 19 cm (d) 90 cm
  23. 23.A rectangle is 9 cm long and 7 cm wide. What is its perimeter? (a) 16 cm (b) 25 cm (c) 32 cm (d) 63 cm
  24. 24.A rectangle has an area of 21 sq cm and a length of 7 cm. What is its width? (a) 14 cm (b) 6 cm (c) 4 cm (d) 3 cm
  25. 25.A rectangle has an area of 72 sq cm and a length of 18 cm. What is its width? (a) 8 cm (b) 54 cm (c) 5 cm (d) 4 cm
  26. 26.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 35 cm (b) 24 cm (c) 19 cm (d) 12 cm
  27. 27.A rectangle is 11 cm long and 3 cm wide. What is its area? (a) 28 sq cm (b) 44 sq cm (c) 14 sq cm (d) 33 sq cm
  28. 28.A rectangle has an area of 60 sq cm and a length of 10 cm. What is its width? (a) 50 cm (b) 6 cm (c) 12 cm (d) 7 cm
  29. 29.A rectangle is 17 cm long and 2 cm wide. What is its area? (a) 51 sq cm (b) 19 sq cm (c) 38 sq cm (d) 34 sq cm
  30. 30.A rectangle is 12 cm long and 11 cm wide. What is its area? (a) 132 sq cm (b) 144 sq cm (c) 46 sq cm (d) 23 sq cm
  31. 31.A rectangle is 14 cm long and 11 cm wide. What is its perimeter? (a) 39 cm (b) 50 cm (c) 154 cm (d) 25 cm
  32. 32.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
  33. 33.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 56 sq cm (b) 48 sq cm (c) 28 sq cm (d) 14 sq cm
  34. 34.A rectangle has an area of 228 sq cm and a length of 19 cm. What is its width? (a) 12 cm (b) 13 cm (c) 209 cm (d) 24 cm
  35. 35.A rectangle is 9 cm long and 7 cm wide. What is its area? (a) 16 sq cm (b) 72 sq cm (c) 32 sq cm (d) 63 sq cm
  36. 36.A rectangle is 12 cm long and 6 cm wide. What is its area? (a) 84 sq cm (b) 36 sq cm (c) 18 sq cm (d) 72 sq cm
  37. 37.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 196 sq cm (c) 225 sq cm (d) 28 sq cm
  38. 38.A rectangle has an area of 98 sq cm and a length of 14 cm. What is its width? (a) 84 cm (b) 14 cm (c) 8 cm (d) 7 cm
  39. 39.A rectangle has an area of 34 sq cm and a length of 17 cm. What is its width? (a) 2 cm (b) 4 cm (c) 17 cm (d) 3 cm
  40. 40.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 121 sq cm (c) 22 sq cm (d) 144 sq cm

Answer key

  1. 240 sq cm
  2. 28 cm
  3. 225 sq cm
  4. 3 cm
  5. 198 sq cm
  6. 100 sq cm
  7. 12 cm
  8. 18 cm
  9. 10 cm
  10. 169 sq cm
  11. 5 cm
  12. 180 sq cm
  13. 32 cm
  14. 3 cm
  15. 38 cm
  16. 25 sq cm
  17. 72 sq cm
  18. 36 sq cm
  19. 24 sq cm
  20. 3 cm
  21. 35 sq cm
  22. 38 cm
  23. 32 cm
  24. 3 cm
  25. 4 cm
  26. 24 cm
  27. 33 sq cm
  28. 6 cm
  29. 34 sq cm
  30. 132 sq cm
  31. 50 cm
  32. 4 cm
  33. 48 sq cm
  34. 12 cm
  35. 63 sq cm
  36. 72 sq cm
  37. 196 sq cm
  38. 7 cm
  39. 2 cm
  40. 121 sq cm

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