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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 111 · 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) 169 sq cm (b) 26 sq cm (c) 52 sq cm (d) 196 sq cm
  2. 2.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 28 sq cm (c) 14 sq cm (d) 49 sq cm
  3. 3.A rectangle is 8 cm long and 7 cm wide. What is its perimeter? (a) 56 cm (b) 30 cm (c) 23 cm (d) 15 cm
  4. 4.A rectangle is 15 cm long and 4 cm wide. What is its area? (a) 38 sq cm (b) 75 sq cm (c) 19 sq cm (d) 60 sq cm
  5. 5.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 24 sq cm (c) 169 sq cm (d) 144 sq cm
  6. 6.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
  7. 7.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
  8. 8.A rectangle is 19 cm long and 9 cm wide. What is its perimeter? (a) 171 cm (b) 28 cm (c) 56 cm (d) 47 cm
  9. 9.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 42 sq cm (b) 13 sq cm (c) 49 sq cm (d) 26 sq cm
  10. 10.A rectangle is 9 cm long and 7 cm wide. What is its area? (a) 72 sq cm (b) 16 sq cm (c) 63 sq cm (d) 32 sq cm
  11. 11.A rectangle is 11 cm long and 9 cm wide. What is its area? (a) 110 sq cm (b) 40 sq cm (c) 20 sq cm (d) 99 sq cm
  12. 12.A rectangle is 18 cm long and 7 cm wide. What is its area? (a) 126 sq cm (b) 144 sq cm (c) 25 sq cm (d) 50 sq cm
  13. 13.A rectangle is 14 cm long and 3 cm wide. What is its perimeter? (a) 17 cm (b) 31 cm (c) 42 cm (d) 34 cm
  14. 14.A rectangle has an area of 85 sq cm and a length of 17 cm. What is its width? (a) 10 cm (b) 68 cm (c) 6 cm (d) 5 cm
  15. 15.A rectangle is 18 cm long and 10 cm wide. What is its perimeter? (a) 28 cm (b) 180 cm (c) 46 cm (d) 56 cm
  16. 16.A square has a perimeter of 60 cm. What is its area? (a) 225 sq cm (b) 256 sq cm (c) 30 sq cm (d) 60 sq cm
  17. 17.A rectangle has an area of 30 sq cm and a length of 6 cm. What is its width? (a) 6 cm (b) 10 cm (c) 24 cm (d) 5 cm
  18. 18.A rectangle is 13 cm long and 7 cm wide. What is its perimeter? (a) 91 cm (b) 40 cm (c) 20 cm (d) 33 cm
  19. 19.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 42 sq cm (b) 35 sq cm (c) 12 sq cm (d) 24 sq cm
  20. 20.A rectangle is 17 cm long and 11 cm wide. What is its area? (a) 187 sq cm (b) 204 sq cm (c) 28 sq cm (d) 56 sq cm
  21. 21.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
  22. 22.A rectangle is 11 cm long and 6 cm wide. What is its area? (a) 66 sq cm (b) 17 sq cm (c) 77 sq cm (d) 34 sq cm
  23. 23.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 225 sq cm (c) 56 sq cm (d) 196 sq cm
  24. 24.A rectangle is 16 cm long and 7 cm wide. What is its area? (a) 112 sq cm (b) 46 sq cm (c) 128 sq cm (d) 23 sq cm
  25. 25.A rectangle is 19 cm long and 10 cm wide. What is its area? (a) 58 sq cm (b) 29 sq cm (c) 209 sq cm (d) 190 sq cm
  26. 26.A rectangle is 14 cm long and 12 cm wide. What is its area? (a) 52 sq cm (b) 168 sq cm (c) 182 sq cm (d) 26 sq cm
  27. 27.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 10 sq cm (b) 16 sq cm (c) 24 sq cm (d) 20 sq cm
  28. 28.A rectangle has an area of 135 sq cm and a length of 15 cm. What is its width? (a) 10 cm (b) 18 cm (c) 120 cm (d) 9 cm
  29. 29.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 12 sq cm (b) 8 sq cm (c) 16 sq cm (d) 18 sq cm
  30. 30.A rectangle is 16 cm long and 3 cm wide. What is its area? (a) 64 sq cm (b) 38 sq cm (c) 48 sq cm (d) 19 sq cm
  31. 31.A rectangle has an area of 45 sq cm and a length of 15 cm. What is its width? (a) 3 cm (b) 30 cm (c) 6 cm (d) 4 cm
  32. 32.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 56 sq cm (b) 64 sq cm (c) 30 sq cm (d) 15 sq cm
  33. 33.A rectangle is 15 cm long and 12 cm wide. What is its perimeter? (a) 42 cm (b) 54 cm (c) 27 cm (d) 180 cm
  34. 34.A rectangle has an area of 12 sq cm and a length of 4 cm. What is its width? (a) 3 cm (b) 6 cm (c) 8 cm (d) 4 cm
  35. 35.A rectangle is 16 cm long and 6 cm wide. What is its area? (a) 22 sq cm (b) 112 sq cm (c) 44 sq cm (d) 96 sq cm
  36. 36.A rectangle has an area of 165 sq cm and a length of 15 cm. What is its width? (a) 12 cm (b) 150 cm (c) 11 cm (d) 22 cm
  37. 37.A rectangle is 13 cm long and 10 cm wide. What is its area? (a) 23 sq cm (b) 143 sq cm (c) 130 sq cm (d) 46 sq cm
  38. 38.A rectangle has an area of 220 sq cm and a length of 20 cm. What is its width? (a) 11 cm (b) 22 cm (c) 12 cm (d) 200 cm
  39. 39.A rectangle has an area of 160 sq cm and a length of 16 cm. What is its width? (a) 11 cm (b) 144 cm (c) 20 cm (d) 10 cm
  40. 40.A rectangle is 11 cm long and 4 cm wide. What is its area? (a) 55 sq cm (b) 30 sq cm (c) 44 sq cm (d) 15 sq cm

Answer key

  1. 169 sq cm
  2. 49 sq cm
  3. 30 cm
  4. 60 sq cm
  5. 144 sq cm
  6. 100 sq cm
  7. 25 sq cm
  8. 56 cm
  9. 42 sq cm
  10. 63 sq cm
  11. 99 sq cm
  12. 126 sq cm
  13. 34 cm
  14. 5 cm
  15. 56 cm
  16. 225 sq cm
  17. 5 cm
  18. 40 cm
  19. 35 sq cm
  20. 187 sq cm
  21. 30 sq cm
  22. 66 sq cm
  23. 196 sq cm
  24. 112 sq cm
  25. 190 sq cm
  26. 168 sq cm
  27. 16 sq cm
  28. 9 cm
  29. 12 sq cm
  30. 48 sq cm
  31. 3 cm
  32. 56 sq cm
  33. 54 cm
  34. 3 cm
  35. 96 sq cm
  36. 11 cm
  37. 130 sq cm
  38. 11 cm
  39. 10 cm
  40. 44 sq cm

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