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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 2 · 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 has an area of 180 sq cm and a length of 15 cm. What is its width? (a) 24 cm (b) 165 cm (c) 13 cm (d) 12 cm
  2. 2.A rectangle is 9 cm long and 7 cm wide. What is its area? (a) 72 sq cm (b) 16 sq cm (c) 32 sq cm (d) 63 sq cm
  3. 3.A rectangle is 18 cm long and 10 cm wide. What is its perimeter? (a) 28 cm (b) 180 cm (c) 46 cm (d) 56 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 has an area of 60 sq cm and a length of 15 cm. What is its width? (a) 8 cm (b) 45 cm (c) 5 cm (d) 4 cm
  6. 6.A rectangle is 19 cm long and 11 cm wide. What is its perimeter? (a) 209 cm (b) 30 cm (c) 60 cm (d) 49 cm
  7. 7.A rectangle is 11 cm long and 9 cm wide. What is its perimeter? (a) 31 cm (b) 99 cm (c) 20 cm (d) 40 cm
  8. 8.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 28 sq cm (b) 22 sq cm (c) 11 sq cm (d) 35 sq cm
  9. 9.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 9 sq cm (c) 18 sq cm (d) 19 sq cm
  10. 10.A rectangle is 15 cm long and 4 cm wide. What is its perimeter? (a) 60 cm (b) 19 cm (c) 38 cm (d) 34 cm
  11. 11.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 25 sq cm (c) 36 sq cm (d) 10 sq cm
  12. 12.A rectangle is 11 cm long and 4 cm wide. What is its area? (a) 15 sq cm (b) 30 sq cm (c) 55 sq cm (d) 44 sq cm
  13. 13.A rectangle is 17 cm long and 7 cm wide. What is its area? (a) 48 sq cm (b) 119 sq cm (c) 136 sq cm (d) 24 sq cm
  14. 14.A rectangle is 15 cm long and 8 cm wide. What is its area? (a) 23 sq cm (b) 135 sq cm (c) 120 sq cm (d) 46 sq cm
  15. 15.A rectangle has an area of 104 sq cm and a length of 13 cm. What is its width? (a) 9 cm (b) 91 cm (c) 8 cm (d) 16 cm
  16. 16.A square has a perimeter of 52 cm. What is its area? (a) 26 sq cm (b) 196 sq cm (c) 52 sq cm (d) 169 sq cm
  17. 17.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 35 sq cm (b) 24 sq cm (c) 12 sq cm (d) 42 sq cm
  18. 18.A rectangle has an area of 48 sq cm and a length of 16 cm. What is its width? (a) 32 cm (b) 3 cm (c) 4 cm (d) 6 cm
  19. 19.A rectangle is 17 cm long and 2 cm wide. What is its perimeter? (a) 38 cm (b) 36 cm (c) 19 cm (d) 34 cm
  20. 20.A rectangle has an area of 100 sq cm and a length of 20 cm. What is its width? (a) 10 cm (b) 5 cm (c) 80 cm (d) 6 cm
  21. 21.A rectangle has an area of 200 sq cm and a length of 20 cm. What is its width? (a) 20 cm (b) 10 cm (c) 11 cm (d) 180 cm
  22. 22.A rectangle is 14 cm long and 9 cm wide. What is its area? (a) 126 sq cm (b) 23 sq cm (c) 140 sq cm (d) 46 sq cm
  23. 23.A rectangle has an area of 144 sq cm and a length of 16 cm. What is its width? (a) 18 cm (b) 128 cm (c) 10 cm (d) 9 cm
  24. 24.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 36 sq cm (c) 24 sq cm (d) 12 sq cm
  25. 25.A rectangle is 10 cm long and 9 cm wide. What is its perimeter? (a) 90 cm (b) 38 cm (c) 19 cm (d) 29 cm
  26. 26.A rectangle is 19 cm long and 9 cm wide. What is its area? (a) 56 sq cm (b) 28 sq cm (c) 190 sq cm (d) 171 sq cm
  27. 27.A rectangle has an area of 144 sq cm and a length of 18 cm. What is its width? (a) 8 cm (b) 9 cm (c) 16 cm (d) 126 cm
  28. 28.A rectangle is 15 cm long and 11 cm wide. What is its perimeter? (a) 41 cm (b) 52 cm (c) 165 cm (d) 26 cm
  29. 29.A rectangle has an area of 75 sq cm and a length of 15 cm. What is its width? (a) 6 cm (b) 5 cm (c) 10 cm (d) 60 cm
  30. 30.A rectangle is 10 cm long and 3 cm wide. What is its perimeter? (a) 30 cm (b) 26 cm (c) 13 cm (d) 23 cm
  31. 31.A rectangle has an area of 33 sq cm and a length of 11 cm. What is its width? (a) 6 cm (b) 22 cm (c) 3 cm (d) 4 cm
  32. 32.A rectangle is 19 cm long and 3 cm wide. What is its area? (a) 44 sq cm (b) 22 sq cm (c) 57 sq cm (d) 76 sq cm
  33. 33.A rectangle is 10 cm long and 5 cm wide. What is its perimeter? (a) 25 cm (b) 15 cm (c) 50 cm (d) 30 cm
  34. 34.A rectangle is 20 cm long and 6 cm wide. What is its area? (a) 140 sq cm (b) 120 sq cm (c) 26 sq cm (d) 52 sq cm
  35. 35.A rectangle is 10 cm long and 7 cm wide. What is its perimeter? (a) 27 cm (b) 17 cm (c) 34 cm (d) 70 cm
  36. 36.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 121 sq cm (c) 100 sq cm (d) 20 sq cm
  37. 37.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 11 sq cm (b) 22 sq cm (c) 30 sq cm (d) 36 sq cm
  38. 38.A rectangle is 15 cm long and 9 cm wide. What is its area? (a) 48 sq cm (b) 135 sq cm (c) 24 sq cm (d) 150 sq cm
  39. 39.A rectangle has an area of 216 sq cm and a length of 18 cm. What is its width? (a) 13 cm (b) 24 cm (c) 12 cm (d) 198 cm
  40. 40.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 144 sq cm (c) 121 sq cm (d) 22 sq cm

Answer key

  1. 12 cm
  2. 63 sq cm
  3. 56 cm
  4. 49 sq cm
  5. 4 cm
  6. 60 cm
  7. 40 cm
  8. 28 sq cm
  9. 18 sq cm
  10. 38 cm
  11. 25 sq cm
  12. 44 sq cm
  13. 119 sq cm
  14. 120 sq cm
  15. 8 cm
  16. 169 sq cm
  17. 35 sq cm
  18. 3 cm
  19. 38 cm
  20. 5 cm
  21. 10 cm
  22. 126 sq cm
  23. 9 cm
  24. 36 sq cm
  25. 38 cm
  26. 171 sq cm
  27. 8 cm
  28. 52 cm
  29. 5 cm
  30. 26 cm
  31. 3 cm
  32. 57 sq cm
  33. 30 cm
  34. 120 sq cm
  35. 34 cm
  36. 100 sq cm
  37. 30 sq cm
  38. 135 sq cm
  39. 12 cm
  40. 121 sq cm

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