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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 680 · 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 117 sq cm and a length of 13 cm. What is its width? (a) 18 cm (b) 104 cm (c) 10 cm (d) 9 cm
  2. 2.A rectangle has an area of 51 sq cm and a length of 17 cm. What is its width? (a) 34 cm (b) 4 cm (c) 6 cm (d) 3 cm
  3. 3.A square has a perimeter of 44 cm. What is its area? (a) 121 sq cm (b) 44 sq cm (c) 144 sq cm (d) 22 sq cm
  4. 4.A rectangle is 15 cm long and 3 cm wide. What is its area? (a) 18 sq cm (b) 45 sq cm (c) 60 sq cm (d) 36 sq cm
  5. 5.A rectangle is 14 cm long and 6 cm wide. What is its area? (a) 98 sq cm (b) 84 sq cm (c) 40 sq cm (d) 20 sq cm
  6. 6.A rectangle has an area of 99 sq cm and a length of 11 cm. What is its width? (a) 18 cm (b) 88 cm (c) 9 cm (d) 10 cm
  7. 7.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 100 sq cm (c) 81 sq cm (d) 18 sq cm
  8. 8.A rectangle is 11 cm long and 10 cm wide. What is its area? (a) 42 sq cm (b) 121 sq cm (c) 21 sq cm (d) 110 sq cm
  9. 9.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 28 sq cm (c) 49 sq cm (d) 64 sq cm
  10. 10.A rectangle has an area of 56 sq cm and a length of 8 cm. What is its width? (a) 8 cm (b) 14 cm (c) 7 cm (d) 48 cm
  11. 11.A rectangle is 9 cm long and 5 cm wide. What is its perimeter? (a) 23 cm (b) 28 cm (c) 45 cm (d) 14 cm
  12. 12.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 49 sq cm (c) 24 sq cm (d) 36 sq cm
  13. 13.A rectangle is 17 cm long and 2 cm wide. What is its area? (a) 19 sq cm (b) 38 sq cm (c) 51 sq cm (d) 34 sq cm
  14. 14.A rectangle is 14 cm long and 5 cm wide. What is its perimeter? (a) 33 cm (b) 70 cm (c) 38 cm (d) 19 cm
  15. 15.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 35 cm (b) 19 cm (c) 12 cm (d) 24 cm
  16. 16.A rectangle has an area of 70 sq cm and a length of 10 cm. What is its width? (a) 60 cm (b) 14 cm (c) 8 cm (d) 7 cm
  17. 17.A rectangle is 13 cm long and 11 cm wide. What is its area? (a) 24 sq cm (b) 48 sq cm (c) 156 sq cm (d) 143 sq cm
  18. 18.A rectangle is 18 cm long and 7 cm wide. What is its area? (a) 25 sq cm (b) 144 sq cm (c) 126 sq cm (d) 50 sq cm
  19. 19.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 22 sq cm (b) 36 sq cm (c) 11 sq cm (d) 30 sq cm
  20. 20.A rectangle has an area of 144 sq cm and a length of 16 cm. What is its width? (a) 128 cm (b) 10 cm (c) 18 cm (d) 9 cm
  21. 21.A rectangle is 16 cm long and 2 cm wide. What is its perimeter? (a) 32 cm (b) 34 cm (c) 36 cm (d) 18 cm
  22. 22.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 28 sq cm (b) 48 sq cm (c) 56 sq cm (d) 14 sq cm
  23. 23.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 54 sq cm (b) 45 sq cm (c) 28 sq cm (d) 14 sq cm
  24. 24.A rectangle has an area of 180 sq cm and a length of 18 cm. What is its width? (a) 11 cm (b) 10 cm (c) 20 cm (d) 162 cm
  25. 25.A rectangle has an area of 160 sq cm and a length of 16 cm. What is its width? (a) 20 cm (b) 10 cm (c) 11 cm (d) 144 cm
  26. 26.A rectangle has an area of 180 sq cm and a length of 15 cm. What is its width? (a) 13 cm (b) 24 cm (c) 165 cm (d) 12 cm
  27. 27.A rectangle has an area of 112 sq cm and a length of 14 cm. What is its width? (a) 16 cm (b) 9 cm (c) 8 cm (d) 98 cm
  28. 28.A rectangle has an area of 48 sq cm and a length of 12 cm. What is its width? (a) 5 cm (b) 8 cm (c) 36 cm (d) 4 cm
  29. 29.A rectangle is 20 cm long and 4 cm wide. What is its area? (a) 48 sq cm (b) 80 sq cm (c) 24 sq cm (d) 100 sq cm
  30. 30.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 26 sq cm (c) 196 sq cm (d) 169 sq cm
  31. 31.A rectangle is 19 cm long and 11 cm wide. What is its perimeter? (a) 49 cm (b) 209 cm (c) 30 cm (d) 60 cm
  32. 32.A rectangle is 20 cm long and 9 cm wide. What is its area? (a) 200 sq cm (b) 58 sq cm (c) 29 sq cm (d) 180 sq cm
  33. 33.A rectangle has an area of 110 sq cm and a length of 11 cm. What is its width? (a) 11 cm (b) 99 cm (c) 10 cm (d) 20 cm
  34. 34.A rectangle is 13 cm long and 5 cm wide. What is its area? (a) 18 sq cm (b) 36 sq cm (c) 65 sq cm (d) 78 sq cm
  35. 35.A rectangle is 18 cm long and 10 cm wide. What is its perimeter? (a) 56 cm (b) 180 cm (c) 28 cm (d) 46 cm
  36. 36.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 48 sq cm (c) 169 sq cm (d) 144 sq cm
  37. 37.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 15 sq cm (b) 30 sq cm (c) 56 sq cm (d) 64 sq cm
  38. 38.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 14 cm (b) 16 cm (c) 8 cm (d) 12 cm
  39. 39.A rectangle is 16 cm long and 8 cm wide. What is its perimeter? (a) 40 cm (b) 128 cm (c) 24 cm (d) 48 cm
  40. 40.A rectangle is 13 cm long and 3 cm wide. What is its perimeter? (a) 32 cm (b) 29 cm (c) 39 cm (d) 16 cm

Answer key

  1. 9 cm
  2. 3 cm
  3. 121 sq cm
  4. 45 sq cm
  5. 84 sq cm
  6. 9 cm
  7. 81 sq cm
  8. 110 sq cm
  9. 49 sq cm
  10. 7 cm
  11. 28 cm
  12. 36 sq cm
  13. 34 sq cm
  14. 38 cm
  15. 24 cm
  16. 7 cm
  17. 143 sq cm
  18. 126 sq cm
  19. 30 sq cm
  20. 9 cm
  21. 36 cm
  22. 48 sq cm
  23. 45 sq cm
  24. 10 cm
  25. 10 cm
  26. 12 cm
  27. 8 cm
  28. 4 cm
  29. 80 sq cm
  30. 169 sq cm
  31. 60 cm
  32. 180 sq cm
  33. 10 cm
  34. 65 sq cm
  35. 56 cm
  36. 144 sq cm
  37. 56 sq cm
  38. 16 cm
  39. 48 cm
  40. 32 cm

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