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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 655 · 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 52 cm. What is its area? (a) 196 sq cm (b) 52 sq cm (c) 169 sq cm (d) 26 sq cm
  2. 2.A rectangle has an area of 220 sq cm and a length of 20 cm. What is its width? (a) 22 cm (b) 200 cm (c) 12 cm (d) 11 cm
  3. 3.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 64 sq cm (c) 28 sq cm (d) 49 sq cm
  4. 4.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 49 sq cm (b) 26 sq cm (c) 42 sq cm (d) 13 sq cm
  5. 5.A rectangle is 10 cm long and 6 cm wide. What is its area? (a) 70 sq cm (b) 32 sq cm (c) 16 sq cm (d) 60 sq cm
  6. 6.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 64 sq cm (c) 16 sq cm (d) 32 sq cm
  7. 7.A rectangle is 11 cm long and 2 cm wide. What is its area? (a) 26 sq cm (b) 13 sq cm (c) 22 sq cm (d) 33 sq cm
  8. 8.A rectangle is 15 cm long and 12 cm wide. What is its area? (a) 54 sq cm (b) 195 sq cm (c) 180 sq cm (d) 27 sq cm
  9. 9.A rectangle is 12 cm long and 8 cm wide. What is its area? (a) 108 sq cm (b) 96 sq cm (c) 40 sq cm (d) 20 sq cm
  10. 10.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 12 sq cm (c) 36 sq cm (d) 24 sq cm
  11. 11.A rectangle is 10 cm long and 6 cm wide. What is its perimeter? (a) 60 cm (b) 16 cm (c) 32 cm (d) 26 cm
  12. 12.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
  13. 13.A rectangle has an area of 112 sq cm and a length of 16 cm. What is its width? (a) 14 cm (b) 7 cm (c) 8 cm (d) 96 cm
  14. 14.A rectangle is 16 cm long and 11 cm wide. What is its area? (a) 192 sq cm (b) 176 sq cm (c) 27 sq cm (d) 54 sq cm
  15. 15.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 19 cm (b) 35 cm (c) 24 cm (d) 12 cm
  16. 16.A rectangle has an area of 18 sq cm and a length of 6 cm. What is its width? (a) 12 cm (b) 3 cm (c) 6 cm (d) 4 cm
  17. 17.A rectangle has an area of 144 sq cm and a length of 16 cm. What is its width? (a) 10 cm (b) 9 cm (c) 128 cm (d) 18 cm
  18. 18.A rectangle is 13 cm long and 4 cm wide. What is its perimeter? (a) 34 cm (b) 17 cm (c) 30 cm (d) 52 cm
  19. 19.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 22 cm (b) 19 cm (c) 24 cm (d) 11 cm
  20. 20.A rectangle has an area of 90 sq cm and a length of 10 cm. What is its width? (a) 80 cm (b) 10 cm (c) 18 cm (d) 9 cm
  21. 21.A rectangle has an area of 162 sq cm and a length of 18 cm. What is its width? (a) 9 cm (b) 144 cm (c) 18 cm (d) 10 cm
  22. 22.A rectangle has an area of 33 sq cm and a length of 11 cm. What is its width? (a) 4 cm (b) 3 cm (c) 6 cm (d) 22 cm
  23. 23.A rectangle has an area of 28 sq cm and a length of 7 cm. What is its width? (a) 21 cm (b) 4 cm (c) 5 cm (d) 8 cm
  24. 24.A rectangle has an area of 133 sq cm and a length of 19 cm. What is its width? (a) 14 cm (b) 7 cm (c) 114 cm (d) 8 cm
  25. 25.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 144 sq cm (c) 24 sq cm (d) 48 sq cm
  26. 26.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 60 sq cm (c) 225 sq cm (d) 30 sq cm
  27. 27.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 28 sq cm (b) 22 sq cm (c) 35 sq cm (d) 11 sq cm
  28. 28.A rectangle is 9 cm long and 6 cm wide. What is its area? (a) 63 sq cm (b) 54 sq cm (c) 30 sq cm (d) 15 sq cm
  29. 29.A rectangle is 16 cm long and 2 cm wide. What is its perimeter? (a) 18 cm (b) 34 cm (c) 36 cm (d) 32 cm
  30. 30.A rectangle has an area of 48 sq cm and a length of 12 cm. What is its width? (a) 4 cm (b) 8 cm (c) 5 cm (d) 36 cm
  31. 31.A rectangle has an area of 88 sq cm and a length of 11 cm. What is its width? (a) 77 cm (b) 8 cm (c) 9 cm (d) 16 cm
  32. 32.A rectangle has an area of 16 sq cm and a length of 8 cm. What is its width? (a) 8 cm (b) 4 cm (c) 3 cm (d) 2 cm
  33. 33.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 45 sq cm (b) 26 sq cm (c) 36 sq cm (d) 13 sq cm
  34. 34.A rectangle is 11 cm long and 2 cm wide. What is its perimeter? (a) 22 cm (b) 13 cm (c) 26 cm (d) 24 cm
  35. 35.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 20 sq cm (c) 36 sq cm (d) 25 sq cm
  36. 36.A rectangle is 19 cm long and 4 cm wide. What is its perimeter? (a) 42 cm (b) 46 cm (c) 76 cm (d) 23 cm
  37. 37.A rectangle is 19 cm long and 11 cm wide. What is its perimeter? (a) 30 cm (b) 209 cm (c) 60 cm (d) 49 cm
  38. 38.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 27 sq cm (c) 12 sq cm (d) 36 sq cm
  39. 39.A rectangle is 13 cm long and 8 cm wide. What is its area? (a) 104 sq cm (b) 21 sq cm (c) 117 sq cm (d) 42 sq cm
  40. 40.A rectangle is 14 cm long and 7 cm wide. What is its area? (a) 42 sq cm (b) 112 sq cm (c) 21 sq cm (d) 98 sq cm

Answer key

  1. 169 sq cm
  2. 11 cm
  3. 49 sq cm
  4. 42 sq cm
  5. 60 sq cm
  6. 64 sq cm
  7. 22 sq cm
  8. 180 sq cm
  9. 96 sq cm
  10. 36 sq cm
  11. 32 cm
  12. 18 cm
  13. 7 cm
  14. 176 sq cm
  15. 24 cm
  16. 3 cm
  17. 9 cm
  18. 34 cm
  19. 22 cm
  20. 9 cm
  21. 9 cm
  22. 3 cm
  23. 4 cm
  24. 7 cm
  25. 144 sq cm
  26. 225 sq cm
  27. 28 sq cm
  28. 54 sq cm
  29. 36 cm
  30. 4 cm
  31. 8 cm
  32. 2 cm
  33. 36 sq cm
  34. 26 cm
  35. 25 sq cm
  36. 46 cm
  37. 60 cm
  38. 27 sq cm
  39. 104 sq cm
  40. 98 sq cm

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