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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 690 · 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 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
  2. 2.A rectangle is 19 cm long and 2 cm wide. What is its area? (a) 38 sq cm (b) 42 sq cm (c) 57 sq cm (d) 21 sq cm
  3. 3.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 26 sq cm (b) 45 sq cm (c) 13 sq cm (d) 36 sq cm
  4. 4.A rectangle is 11 cm long and 7 cm wide. What is its area? (a) 77 sq cm (b) 36 sq cm (c) 18 sq cm (d) 88 sq cm
  5. 5.A rectangle has an area of 72 sq cm and a length of 18 cm. What is its width? (a) 54 cm (b) 5 cm (c) 4 cm (d) 8 cm
  6. 6.A rectangle has an area of 20 sq cm and a length of 5 cm. What is its width? (a) 15 cm (b) 5 cm (c) 8 cm (d) 4 cm
  7. 7.A rectangle has an area of 130 sq cm and a length of 13 cm. What is its width? (a) 20 cm (b) 11 cm (c) 10 cm (d) 117 cm
  8. 8.A rectangle is 20 cm long and 3 cm wide. What is its perimeter? (a) 23 cm (b) 60 cm (c) 43 cm (d) 46 cm
  9. 9.A rectangle has an area of 30 sq cm and a length of 6 cm. What is its width? (a) 10 cm (b) 5 cm (c) 6 cm (d) 24 cm
  10. 10.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 18 cm (c) 14 cm (d) 9 cm
  11. 11.A rectangle is 15 cm long and 9 cm wide. What is its area? (a) 24 sq cm (b) 135 sq cm (c) 48 sq cm (d) 150 sq cm
  12. 12.A rectangle has an area of 32 sq cm and a length of 16 cm. What is its width? (a) 4 cm (b) 16 cm (c) 2 cm (d) 3 cm
  13. 13.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 44 sq cm (c) 121 sq cm (d) 144 sq cm
  14. 14.A rectangle has an area of 190 sq cm and a length of 19 cm. What is its width? (a) 171 cm (b) 11 cm (c) 20 cm (d) 10 cm
  15. 15.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 10 cm (b) 20 cm (c) 16 cm (d) 18 cm
  16. 16.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
  17. 17.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 15 cm (b) 18 cm (c) 9 cm (d) 19 cm
  18. 18.A rectangle is 15 cm long and 10 cm wide. What is its perimeter? (a) 150 cm (b) 25 cm (c) 40 cm (d) 50 cm
  19. 19.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 26 sq cm (c) 169 sq cm (d) 196 sq cm
  20. 20.A rectangle is 14 cm long and 6 cm wide. What is its perimeter? (a) 34 cm (b) 84 cm (c) 40 cm (d) 20 cm
  21. 21.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 25 sq cm (c) 36 sq cm (d) 20 sq cm
  22. 22.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 16 sq cm (c) 64 sq cm (d) 32 sq cm
  23. 23.A rectangle is 15 cm long and 8 cm wide. What is its area? (a) 23 sq cm (b) 46 sq cm (c) 120 sq cm (d) 135 sq cm
  24. 24.A rectangle has an area of 36 sq cm and a length of 12 cm. What is its width? (a) 6 cm (b) 4 cm (c) 24 cm (d) 3 cm
  25. 25.A rectangle is 13 cm long and 11 cm wide. What is its perimeter? (a) 24 cm (b) 48 cm (c) 143 cm (d) 37 cm
  26. 26.A rectangle is 16 cm long and 6 cm wide. What is its area? (a) 44 sq cm (b) 96 sq cm (c) 112 sq cm (d) 22 sq cm
  27. 27.A rectangle is 9 cm long and 3 cm wide. What is its perimeter? (a) 21 cm (b) 24 cm (c) 27 cm (d) 12 cm
  28. 28.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 81 sq cm (c) 36 sq cm (d) 100 sq cm
  29. 29.A rectangle has an area of 75 sq cm and a length of 15 cm. What is its width? (a) 60 cm (b) 6 cm (c) 10 cm (d) 5 cm
  30. 30.A rectangle has an area of 192 sq cm and a length of 16 cm. What is its width? (a) 13 cm (b) 176 cm (c) 12 cm (d) 24 cm
  31. 31.A rectangle has an area of 154 sq cm and a length of 14 cm. What is its width? (a) 12 cm (b) 140 cm (c) 22 cm (d) 11 cm
  32. 32.A rectangle is 20 cm long and 11 cm wide. What is its area? (a) 220 sq cm (b) 62 sq cm (c) 240 sq cm (d) 31 sq cm
  33. 33.A rectangle is 10 cm long and 9 cm wide. What is its perimeter? (a) 29 cm (b) 38 cm (c) 19 cm (d) 90 cm
  34. 34.A rectangle is 10 cm long and 6 cm wide. What is its perimeter? (a) 26 cm (b) 16 cm (c) 32 cm (d) 60 cm
  35. 35.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 12 sq cm (b) 40 sq cm (c) 32 sq cm (d) 24 sq cm
  36. 36.A rectangle has an area of 95 sq cm and a length of 19 cm. What is its width? (a) 10 cm (b) 6 cm (c) 5 cm (d) 76 cm
  37. 37.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 11 cm (b) 28 cm (c) 22 cm (d) 18 cm
  38. 38.A rectangle has an area of 120 sq cm and a length of 12 cm. What is its width? (a) 10 cm (b) 20 cm (c) 108 cm (d) 11 cm
  39. 39.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 100 sq cm (c) 40 sq cm (d) 20 sq cm
  40. 40.A rectangle is 12 cm long and 2 cm wide. What is its area? (a) 24 sq cm (b) 36 sq cm (c) 14 sq cm (d) 28 sq cm

Answer key

  1. 9 cm
  2. 38 sq cm
  3. 36 sq cm
  4. 77 sq cm
  5. 4 cm
  6. 4 cm
  7. 10 cm
  8. 46 cm
  9. 5 cm
  10. 18 cm
  11. 135 sq cm
  12. 2 cm
  13. 121 sq cm
  14. 10 cm
  15. 20 cm
  16. 196 sq cm
  17. 18 cm
  18. 50 cm
  19. 169 sq cm
  20. 40 cm
  21. 25 sq cm
  22. 64 sq cm
  23. 120 sq cm
  24. 3 cm
  25. 48 cm
  26. 96 sq cm
  27. 24 cm
  28. 81 sq cm
  29. 5 cm
  30. 12 cm
  31. 11 cm
  32. 220 sq cm
  33. 38 cm
  34. 32 cm
  35. 32 sq cm
  36. 5 cm
  37. 22 cm
  38. 10 cm
  39. 100 sq cm
  40. 24 sq cm

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