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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 771 · 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 square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 24 sq cm (c) 144 sq cm (d) 169 sq cm
  2. 2.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 25 sq cm (c) 20 sq cm (d) 10 sq cm
  3. 3.A rectangle is 10 cm long and 6 cm wide. What is its perimeter? (a) 60 cm (b) 26 cm (c) 16 cm (d) 32 cm
  4. 4.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 225 sq cm (c) 28 sq cm (d) 56 sq cm
  5. 5.A rectangle is 9 cm long and 7 cm wide. What is its area? (a) 72 sq cm (b) 32 sq cm (c) 63 sq cm (d) 16 sq cm
  6. 6.A rectangle has an area of 22 sq cm and a length of 11 cm. What is its width? (a) 11 cm (b) 4 cm (c) 2 cm (d) 3 cm
  7. 7.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 13 cm (b) 20 cm (c) 42 cm (d) 26 cm
  8. 8.A rectangle is 17 cm long and 4 cm wide. What is its perimeter? (a) 68 cm (b) 42 cm (c) 21 cm (d) 38 cm
  9. 9.A rectangle is 17 cm long and 8 cm wide. What is its area? (a) 153 sq cm (b) 136 sq cm (c) 50 sq cm (d) 25 sq cm
  10. 10.A rectangle has an area of 143 sq cm and a length of 13 cm. What is its width? (a) 22 cm (b) 12 cm (c) 130 cm (d) 11 cm
  11. 11.A rectangle is 14 cm long and 8 cm wide. What is its perimeter? (a) 112 cm (b) 36 cm (c) 22 cm (d) 44 cm
  12. 12.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 121 sq cm (c) 44 sq cm (d) 22 sq cm
  13. 13.A rectangle has an area of 42 sq cm and a length of 14 cm. What is its width? (a) 28 cm (b) 4 cm (c) 3 cm (d) 6 cm
  14. 14.A rectangle is 19 cm long and 8 cm wide. What is its area? (a) 171 sq cm (b) 152 sq cm (c) 27 sq cm (d) 54 sq cm
  15. 15.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 100 sq cm (c) 81 sq cm (d) 36 sq cm
  16. 16.A rectangle is 11 cm long and 5 cm wide. What is its perimeter? (a) 16 cm (b) 27 cm (c) 55 cm (d) 32 cm
  17. 17.A rectangle is 18 cm long and 6 cm wide. What is its perimeter? (a) 24 cm (b) 108 cm (c) 42 cm (d) 48 cm
  18. 18.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 14 cm (b) 16 cm (c) 9 cm (d) 18 cm
  19. 19.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 9 cm (b) 19 cm (c) 18 cm (d) 15 cm
  20. 20.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
  21. 21.A rectangle has an area of 70 sq cm and a length of 14 cm. What is its width? (a) 56 cm (b) 10 cm (c) 6 cm (d) 5 cm
  22. 22.A rectangle is 14 cm long and 12 cm wide. What is its perimeter? (a) 26 cm (b) 40 cm (c) 168 cm (d) 52 cm
  23. 23.A rectangle has an area of 42 sq cm and a length of 7 cm. What is its width? (a) 7 cm (b) 6 cm (c) 12 cm (d) 35 cm
  24. 24.A rectangle is 17 cm long and 7 cm wide. What is its area? (a) 48 sq cm (b) 24 sq cm (c) 136 sq cm (d) 119 sq cm
  25. 25.A rectangle is 13 cm long and 11 cm wide. What is its area? (a) 156 sq cm (b) 24 sq cm (c) 143 sq cm (d) 48 sq cm
  26. 26.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 22 sq cm (b) 11 sq cm (c) 36 sq cm (d) 30 sq cm
  27. 27.A rectangle has an area of 78 sq cm and a length of 13 cm. What is its width? (a) 12 cm (b) 65 cm (c) 7 cm (d) 6 cm
  28. 28.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 49 sq cm (c) 64 sq cm (d) 14 sq cm
  29. 29.A rectangle has an area of 130 sq cm and a length of 13 cm. What is its width? (a) 10 cm (b) 20 cm (c) 117 cm (d) 11 cm
  30. 30.A rectangle is 12 cm long and 5 cm wide. What is its perimeter? (a) 29 cm (b) 17 cm (c) 34 cm (d) 60 cm
  31. 31.A rectangle has an area of 180 sq cm and a length of 20 cm. What is its width? (a) 18 cm (b) 10 cm (c) 160 cm (d) 9 cm
  32. 32.A rectangle has an area of 132 sq cm and a length of 12 cm. What is its width? (a) 120 cm (b) 12 cm (c) 11 cm (d) 22 cm
  33. 33.A rectangle has an area of 48 sq cm and a length of 16 cm. What is its width? (a) 3 cm (b) 32 cm (c) 6 cm (d) 4 cm
  34. 34.A rectangle has an area of 50 sq cm and a length of 10 cm. What is its width? (a) 6 cm (b) 40 cm (c) 10 cm (d) 5 cm
  35. 35.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 22 sq cm (b) 11 sq cm (c) 24 sq cm (d) 32 sq cm
  36. 36.A rectangle has an area of 104 sq cm and a length of 13 cm. What is its width? (a) 8 cm (b) 91 cm (c) 9 cm (d) 16 cm
  37. 37.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 28 sq cm (b) 35 sq cm (c) 22 sq cm (d) 11 sq cm
  38. 38.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 40 sq cm (c) 100 sq cm (d) 121 sq cm
  39. 39.A rectangle is 19 cm long and 6 cm wide. What is its perimeter? (a) 50 cm (b) 114 cm (c) 44 cm (d) 25 cm
  40. 40.A rectangle is 12 cm long and 3 cm wide. What is its perimeter? (a) 27 cm (b) 36 cm (c) 30 cm (d) 15 cm

Answer key

  1. 144 sq cm
  2. 25 sq cm
  3. 32 cm
  4. 196 sq cm
  5. 63 sq cm
  6. 2 cm
  7. 26 cm
  8. 42 cm
  9. 136 sq cm
  10. 11 cm
  11. 44 cm
  12. 121 sq cm
  13. 3 cm
  14. 152 sq cm
  15. 81 sq cm
  16. 32 cm
  17. 48 cm
  18. 18 cm
  19. 18 cm
  20. 10 cm
  21. 5 cm
  22. 52 cm
  23. 6 cm
  24. 119 sq cm
  25. 143 sq cm
  26. 30 sq cm
  27. 6 cm
  28. 49 sq cm
  29. 10 cm
  30. 34 cm
  31. 9 cm
  32. 11 cm
  33. 3 cm
  34. 5 cm
  35. 24 sq cm
  36. 8 cm
  37. 28 sq cm
  38. 100 sq cm
  39. 50 cm
  40. 30 cm

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