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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 713 · 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 7 cm long and 4 cm wide. What is its perimeter? (a) 22 cm (b) 28 cm (c) 18 cm (d) 11 cm
  2. 2.A rectangle is 11 cm long and 9 cm wide. What is its area? (a) 110 sq cm (b) 40 sq cm (c) 99 sq cm (d) 20 sq cm
  3. 3.A rectangle is 15 cm long and 5 cm wide. What is its perimeter? (a) 75 cm (b) 35 cm (c) 40 cm (d) 20 cm
  4. 4.A rectangle has an area of 12 sq cm and a length of 4 cm. What is its width? (a) 6 cm (b) 8 cm (c) 3 cm (d) 4 cm
  5. 5.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 17 cm (b) 11 cm (c) 30 cm (d) 22 cm
  6. 6.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 169 sq cm (c) 48 sq cm (d) 144 sq cm
  7. 7.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 20 sq cm (c) 36 sq cm (d) 25 sq cm
  8. 8.A rectangle has an area of 144 sq cm and a length of 16 cm. What is its width? (a) 10 cm (b) 128 cm (c) 18 cm (d) 9 cm
  9. 9.A rectangle is 19 cm long and 6 cm wide. What is its area? (a) 25 sq cm (b) 114 sq cm (c) 133 sq cm (d) 50 sq cm
  10. 10.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 81 sq cm (c) 18 sq cm (d) 100 sq cm
  11. 11.A rectangle has an area of 30 sq cm and a length of 15 cm. What is its width? (a) 2 cm (b) 4 cm (c) 3 cm (d) 15 cm
  12. 12.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 11 sq cm (b) 22 sq cm (c) 18 sq cm (d) 27 sq cm
  13. 13.A rectangle has an area of 40 sq cm and a length of 10 cm. What is its width? (a) 4 cm (b) 30 cm (c) 8 cm (d) 5 cm
  14. 14.A rectangle is 9 cm long and 8 cm wide. What is its area? (a) 34 sq cm (b) 81 sq cm (c) 72 sq cm (d) 17 sq cm
  15. 15.A rectangle has an area of 40 sq cm and a length of 20 cm. What is its width? (a) 2 cm (b) 4 cm (c) 20 cm (d) 3 cm
  16. 16.A rectangle is 20 cm long and 10 cm wide. What is its area? (a) 200 sq cm (b) 30 sq cm (c) 60 sq cm (d) 220 sq cm
  17. 17.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 10 sq cm (b) 28 sq cm (c) 20 sq cm (d) 21 sq cm
  18. 18.A rectangle has an area of 10 sq cm and a length of 5 cm. What is its width? (a) 4 cm (b) 2 cm (c) 3 cm (d) 5 cm
  19. 19.A rectangle is 17 cm long and 11 cm wide. What is its area? (a) 28 sq cm (b) 187 sq cm (c) 56 sq cm (d) 204 sq cm
  20. 20.A rectangle is 10 cm long and 5 cm wide. What is its area? (a) 15 sq cm (b) 60 sq cm (c) 50 sq cm (d) 30 sq cm
  21. 21.A rectangle is 15 cm long and 10 cm wide. What is its perimeter? (a) 25 cm (b) 40 cm (c) 50 cm (d) 150 cm
  22. 22.A rectangle has an area of 117 sq cm and a length of 13 cm. What is its width? (a) 10 cm (b) 9 cm (c) 18 cm (d) 104 cm
  23. 23.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 9 cm (b) 19 cm (c) 15 cm (d) 18 cm
  24. 24.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
  25. 25.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 36 sq cm (b) 45 sq cm (c) 13 sq cm (d) 26 sq cm
  26. 26.A rectangle has an area of 18 sq cm and a length of 6 cm. What is its width? (a) 12 cm (b) 6 cm (c) 4 cm (d) 3 cm
  27. 27.A rectangle has an area of 126 sq cm and a length of 18 cm. What is its width? (a) 8 cm (b) 108 cm (c) 14 cm (d) 7 cm
  28. 28.A rectangle is 18 cm long and 11 cm wide. What is its area? (a) 216 sq cm (b) 58 sq cm (c) 198 sq cm (d) 29 sq cm
  29. 29.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 225 sq cm (c) 196 sq cm (d) 56 sq cm
  30. 30.A rectangle is 10 cm long and 9 cm wide. What is its perimeter? (a) 38 cm (b) 19 cm (c) 90 cm (d) 29 cm
  31. 31.A rectangle is 9 cm long and 6 cm wide. What is its area? (a) 63 sq cm (b) 15 sq cm (c) 54 sq cm (d) 30 sq cm
  32. 32.A rectangle is 12 cm long and 5 cm wide. What is its area? (a) 17 sq cm (b) 34 sq cm (c) 72 sq cm (d) 60 sq cm
  33. 33.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
  34. 34.A rectangle has an area of 90 sq cm and a length of 10 cm. What is its width? (a) 18 cm (b) 10 cm (c) 9 cm (d) 80 cm
  35. 35.A rectangle has an area of 140 sq cm and a length of 14 cm. What is its width? (a) 20 cm (b) 11 cm (c) 126 cm (d) 10 cm
  36. 36.A rectangle has an area of 42 sq cm and a length of 14 cm. What is its width? (a) 6 cm (b) 28 cm (c) 4 cm (d) 3 cm
  37. 37.A rectangle is 15 cm long and 3 cm wide. What is its perimeter? (a) 36 cm (b) 18 cm (c) 45 cm (d) 33 cm
  38. 38.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 40 sq cm (b) 24 sq cm (c) 32 sq cm (d) 12 sq cm
  39. 39.A rectangle has an area of 88 sq cm and a length of 11 cm. What is its width? (a) 16 cm (b) 77 cm (c) 8 cm (d) 9 cm
  40. 40.A rectangle is 14 cm long and 9 cm wide. What is its area? (a) 23 sq cm (b) 46 sq cm (c) 126 sq cm (d) 140 sq cm

Answer key

  1. 22 cm
  2. 99 sq cm
  3. 40 cm
  4. 3 cm
  5. 22 cm
  6. 144 sq cm
  7. 25 sq cm
  8. 9 cm
  9. 114 sq cm
  10. 81 sq cm
  11. 2 cm
  12. 18 sq cm
  13. 4 cm
  14. 72 sq cm
  15. 2 cm
  16. 200 sq cm
  17. 21 sq cm
  18. 2 cm
  19. 187 sq cm
  20. 50 sq cm
  21. 50 cm
  22. 9 cm
  23. 18 cm
  24. 18 cm
  25. 36 sq cm
  26. 3 cm
  27. 7 cm
  28. 198 sq cm
  29. 196 sq cm
  30. 38 cm
  31. 54 sq cm
  32. 60 sq cm
  33. 20 cm
  34. 9 cm
  35. 10 cm
  36. 3 cm
  37. 36 cm
  38. 32 sq cm
  39. 8 cm
  40. 126 sq cm

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