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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 947 · 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 32 cm. What is its area? (a) 32 sq cm (b) 81 sq cm (c) 64 sq cm (d) 16 sq cm
  2. 2.A rectangle has an area of 136 sq cm and a length of 17 cm. What is its width? (a) 16 cm (b) 119 cm (c) 9 cm (d) 8 cm
  3. 3.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
  4. 4.A rectangle is 20 cm long and 3 cm wide. What is its area? (a) 46 sq cm (b) 80 sq cm (c) 23 sq cm (d) 60 sq cm
  5. 5.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 9 sq cm (b) 14 sq cm (c) 21 sq cm (d) 18 sq cm
  6. 6.A square has a perimeter of 48 cm. What is its area? (a) 144 sq cm (b) 169 sq cm (c) 48 sq cm (d) 24 sq cm
  7. 7.A rectangle has an area of 128 sq cm and a length of 16 cm. What is its width? (a) 16 cm (b) 9 cm (c) 8 cm (d) 112 cm
  8. 8.A rectangle is 15 cm long and 11 cm wide. What is its area? (a) 26 sq cm (b) 180 sq cm (c) 165 sq cm (d) 52 sq cm
  9. 9.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
  10. 10.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 12 sq cm (b) 24 sq cm (c) 36 sq cm (d) 27 sq cm
  11. 11.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 12 sq cm (c) 36 sq cm (d) 49 sq cm
  12. 12.A rectangle is 12 cm long and 4 cm wide. What is its area? (a) 16 sq cm (b) 60 sq cm (c) 48 sq cm (d) 32 sq cm
  13. 13.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 35 sq cm (b) 11 sq cm (c) 22 sq cm (d) 28 sq cm
  14. 14.A rectangle is 11 cm long and 6 cm wide. What is its perimeter? (a) 66 cm (b) 17 cm (c) 28 cm (d) 34 cm
  15. 15.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 196 sq cm (c) 56 sq cm (d) 225 sq cm
  16. 16.A rectangle is 17 cm long and 6 cm wide. What is its perimeter? (a) 40 cm (b) 46 cm (c) 102 cm (d) 23 cm
  17. 17.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 12 sq cm (b) 16 sq cm (c) 8 sq cm (d) 18 sq cm
  18. 18.A rectangle has an area of 80 sq cm and a length of 10 cm. What is its width? (a) 9 cm (b) 16 cm (c) 8 cm (d) 70 cm
  19. 19.A rectangle is 18 cm long and 4 cm wide. What is its perimeter? (a) 40 cm (b) 72 cm (c) 44 cm (d) 22 cm
  20. 20.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 60 sq cm (c) 256 sq cm (d) 225 sq cm
  21. 21.A rectangle is 13 cm long and 9 cm wide. What is its area? (a) 130 sq cm (b) 22 sq cm (c) 117 sq cm (d) 44 sq cm
  22. 22.A rectangle has an area of 120 sq cm and a length of 12 cm. What is its width? (a) 20 cm (b) 108 cm (c) 11 cm (d) 10 cm
  23. 23.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) 22 cm (d) 11 cm
  24. 24.A rectangle is 19 cm long and 12 cm wide. What is its area? (a) 31 sq cm (b) 62 sq cm (c) 247 sq cm (d) 228 sq cm
  25. 25.A rectangle has an area of 80 sq cm and a length of 20 cm. What is its width? (a) 60 cm (b) 4 cm (c) 5 cm (d) 8 cm
  26. 26.A rectangle is 20 cm long and 10 cm wide. What is its perimeter? (a) 50 cm (b) 200 cm (c) 60 cm (d) 30 cm
  27. 27.A rectangle is 14 cm long and 8 cm wide. What is its area? (a) 126 sq cm (b) 22 sq cm (c) 44 sq cm (d) 112 sq cm
  28. 28.A rectangle is 8 cm long and 5 cm wide. What is its perimeter? (a) 26 cm (b) 21 cm (c) 13 cm (d) 40 cm
  29. 29.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 40 sq cm (b) 12 sq cm (c) 32 sq cm (d) 24 sq cm
  30. 30.A rectangle is 15 cm long and 12 cm wide. What is its area? (a) 195 sq cm (b) 27 sq cm (c) 180 sq cm (d) 54 sq cm
  31. 31.A rectangle has an area of 150 sq cm and a length of 15 cm. What is its width? (a) 135 cm (b) 11 cm (c) 10 cm (d) 20 cm
  32. 32.A rectangle has an area of 40 sq cm and a length of 10 cm. What is its width? (a) 30 cm (b) 4 cm (c) 5 cm (d) 8 cm
  33. 33.A rectangle is 8 cm long and 5 cm wide. What is its area? (a) 48 sq cm (b) 26 sq cm (c) 40 sq cm (d) 13 sq cm
  34. 34.A rectangle has an area of 72 sq cm and a length of 9 cm. What is its width? (a) 9 cm (b) 16 cm (c) 63 cm (d) 8 cm
  35. 35.A square has a perimeter of 40 cm. What is its area? (a) 100 sq cm (b) 40 sq cm (c) 121 sq cm (d) 20 sq cm
  36. 36.A rectangle has an area of 80 sq cm and a length of 16 cm. What is its width? (a) 64 cm (b) 6 cm (c) 10 cm (d) 5 cm
  37. 37.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 26 sq cm (b) 49 sq cm (c) 42 sq cm (d) 13 sq cm
  38. 38.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
  39. 39.A rectangle is 14 cm long and 10 cm wide. What is its perimeter? (a) 24 cm (b) 38 cm (c) 48 cm (d) 140 cm
  40. 40.A rectangle is 15 cm long and 9 cm wide. What is its area? (a) 48 sq cm (b) 24 sq cm (c) 150 sq cm (d) 135 sq cm

Answer key

  1. 64 sq cm
  2. 8 cm
  3. 9 cm
  4. 60 sq cm
  5. 14 sq cm
  6. 144 sq cm
  7. 8 cm
  8. 165 sq cm
  9. 25 sq cm
  10. 27 sq cm
  11. 36 sq cm
  12. 48 sq cm
  13. 28 sq cm
  14. 34 cm
  15. 196 sq cm
  16. 46 cm
  17. 12 sq cm
  18. 8 cm
  19. 44 cm
  20. 225 sq cm
  21. 117 sq cm
  22. 10 cm
  23. 11 cm
  24. 228 sq cm
  25. 4 cm
  26. 60 cm
  27. 112 sq cm
  28. 26 cm
  29. 32 sq cm
  30. 180 sq cm
  31. 10 cm
  32. 4 cm
  33. 40 sq cm
  34. 8 cm
  35. 100 sq cm
  36. 5 cm
  37. 42 sq cm
  38. 48 sq cm
  39. 48 cm
  40. 135 sq cm

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