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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 663 · 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 19 cm long and 3 cm wide. What is its area? (a) 22 sq cm (b) 76 sq cm (c) 57 sq cm (d) 44 sq cm
  2. 2.A rectangle has an area of 33 sq cm and a length of 11 cm. What is its width? (a) 6 cm (b) 3 cm (c) 4 cm (d) 22 cm
  3. 3.A rectangle is 10 cm long and 8 cm wide. What is its area? (a) 36 sq cm (b) 18 sq cm (c) 80 sq cm (d) 90 sq cm
  4. 4.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 36 sq cm (b) 11 sq cm (c) 22 sq cm (d) 30 sq cm
  5. 5.A rectangle has an area of 144 sq cm and a length of 16 cm. What is its width? (a) 9 cm (b) 128 cm (c) 10 cm (d) 18 cm
  6. 6.A rectangle has an area of 132 sq cm and a length of 12 cm. What is its width? (a) 22 cm (b) 120 cm (c) 12 cm (d) 11 cm
  7. 7.A rectangle is 10 cm long and 2 cm wide. What is its area? (a) 20 sq cm (b) 12 sq cm (c) 30 sq cm (d) 24 sq cm
  8. 8.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 49 sq cm (c) 12 sq cm (d) 36 sq cm
  9. 9.A rectangle has an area of 143 sq cm and a length of 13 cm. What is its width? (a) 130 cm (b) 11 cm (c) 12 cm (d) 22 cm
  10. 10.A rectangle is 20 cm long and 5 cm wide. What is its perimeter? (a) 100 cm (b) 25 cm (c) 45 cm (d) 50 cm
  11. 11.A rectangle has an area of 18 sq cm and a length of 6 cm. What is its width? (a) 6 cm (b) 12 cm (c) 3 cm (d) 4 cm
  12. 12.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 24 sq cm (b) 10 sq cm (c) 20 sq cm (d) 16 sq cm
  13. 13.A rectangle has an area of 72 sq cm and a length of 9 cm. What is its width? (a) 8 cm (b) 63 cm (c) 16 cm (d) 9 cm
  14. 14.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 49 sq cm (c) 14 sq cm (d) 64 sq cm
  15. 15.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 56 sq cm (c) 225 sq cm (d) 196 sq cm
  16. 16.A rectangle is 14 cm long and 10 cm wide. What is its perimeter? (a) 140 cm (b) 24 cm (c) 48 cm (d) 38 cm
  17. 17.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 81 sq cm (c) 64 sq cm (d) 32 sq cm
  18. 18.A rectangle is 18 cm long and 12 cm wide. What is its perimeter? (a) 216 cm (b) 48 cm (c) 60 cm (d) 30 cm
  19. 19.A rectangle is 16 cm long and 7 cm wide. What is its area? (a) 46 sq cm (b) 112 sq cm (c) 128 sq cm (d) 23 sq cm
  20. 20.A rectangle has an area of 30 sq cm and a length of 10 cm. What is its width? (a) 4 cm (b) 6 cm (c) 3 cm (d) 20 cm
  21. 21.A rectangle has an area of 171 sq cm and a length of 19 cm. What is its width? (a) 18 cm (b) 9 cm (c) 152 cm (d) 10 cm
  22. 22.A rectangle is 10 cm long and 7 cm wide. What is its area? (a) 80 sq cm (b) 17 sq cm (c) 34 sq cm (d) 70 sq cm
  23. 23.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 20 sq cm (b) 30 sq cm (c) 24 sq cm (d) 10 sq cm
  24. 24.A rectangle has an area of 90 sq cm and a length of 10 cm. What is its width? (a) 18 cm (b) 80 cm (c) 10 cm (d) 9 cm
  25. 25.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
  26. 26.A rectangle is 11 cm long and 3 cm wide. What is its area? (a) 33 sq cm (b) 28 sq cm (c) 14 sq cm (d) 44 sq cm
  27. 27.A rectangle has an area of 22 sq cm and a length of 11 cm. What is its width? (a) 2 cm (b) 11 cm (c) 4 cm (d) 3 cm
  28. 28.A rectangle is 13 cm long and 7 cm wide. What is its area? (a) 40 sq cm (b) 104 sq cm (c) 91 sq cm (d) 20 sq cm
  29. 29.A rectangle is 10 cm long and 4 cm wide. What is its perimeter? (a) 14 cm (b) 40 cm (c) 28 cm (d) 24 cm
  30. 30.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 18 sq cm (c) 81 sq cm (d) 36 sq cm
  31. 31.A rectangle is 12 cm long and 8 cm wide. What is its area? (a) 40 sq cm (b) 20 sq cm (c) 96 sq cm (d) 108 sq cm
  32. 32.A rectangle has an area of 165 sq cm and a length of 15 cm. What is its width? (a) 12 cm (b) 22 cm (c) 150 cm (d) 11 cm
  33. 33.A rectangle is 12 cm long and 2 cm wide. What is its perimeter? (a) 14 cm (b) 24 cm (c) 26 cm (d) 28 cm
  34. 34.A rectangle is 19 cm long and 2 cm wide. What is its area? (a) 21 sq cm (b) 57 sq cm (c) 42 sq cm (d) 38 sq cm
  35. 35.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 20 sq cm (c) 100 sq cm (d) 40 sq cm
  36. 36.A rectangle has an area of 114 sq cm and a length of 19 cm. What is its width? (a) 7 cm (b) 12 cm (c) 95 cm (d) 6 cm
  37. 37.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 28 sq cm (b) 10 sq cm (c) 20 sq cm (d) 21 sq cm
  38. 38.A rectangle has an area of 162 sq cm and a length of 18 cm. What is its width? (a) 18 cm (b) 144 cm (c) 9 cm (d) 10 cm
  39. 39.A rectangle is 14 cm long and 10 cm wide. What is its area? (a) 140 sq cm (b) 154 sq cm (c) 48 sq cm (d) 24 sq cm
  40. 40.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 20 cm (b) 17 cm (c) 21 cm (d) 10 cm

Answer key

  1. 57 sq cm
  2. 3 cm
  3. 80 sq cm
  4. 30 sq cm
  5. 9 cm
  6. 11 cm
  7. 20 sq cm
  8. 36 sq cm
  9. 11 cm
  10. 50 cm
  11. 3 cm
  12. 16 sq cm
  13. 8 cm
  14. 49 sq cm
  15. 196 sq cm
  16. 48 cm
  17. 64 sq cm
  18. 60 cm
  19. 112 sq cm
  20. 3 cm
  21. 9 cm
  22. 70 sq cm
  23. 24 sq cm
  24. 9 cm
  25. 16 cm
  26. 33 sq cm
  27. 2 cm
  28. 91 sq cm
  29. 28 cm
  30. 81 sq cm
  31. 96 sq cm
  32. 11 cm
  33. 28 cm
  34. 38 sq cm
  35. 100 sq cm
  36. 6 cm
  37. 21 sq cm
  38. 9 cm
  39. 140 sq cm
  40. 20 cm

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