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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 962 · 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 60 cm. What is its area? (a) 30 sq cm (b) 256 sq cm (c) 225 sq cm (d) 60 sq cm
  2. 2.A rectangle has an area of 132 sq cm and a length of 12 cm. What is its width? (a) 120 cm (b) 11 cm (c) 22 cm (d) 12 cm
  3. 3.A rectangle has an area of 128 sq cm and a length of 16 cm. What is its width? (a) 9 cm (b) 8 cm (c) 16 cm (d) 112 cm
  4. 4.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 81 sq cm (c) 16 sq cm (d) 64 sq cm
  5. 5.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 36 sq cm (c) 12 sq cm (d) 24 sq cm
  6. 6.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 14 cm (b) 9 cm (c) 16 cm (d) 18 cm
  7. 7.A rectangle has an area of 33 sq cm and a length of 11 cm. What is its width? (a) 6 cm (b) 4 cm (c) 3 cm (d) 22 cm
  8. 8.A rectangle has an area of 6 sq cm and a length of 3 cm. What is its width? (a) 2 cm (b) 4 cm (c) 1 cm (d) 3 cm
  9. 9.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
  10. 10.A rectangle is 20 cm long and 11 cm wide. What is its area? (a) 220 sq cm (b) 240 sq cm (c) 31 sq cm (d) 62 sq cm
  11. 11.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 24 sq cm (c) 48 sq cm (d) 144 sq cm
  12. 12.A rectangle has an area of 228 sq cm and a length of 19 cm. What is its width? (a) 24 cm (b) 13 cm (c) 209 cm (d) 12 cm
  13. 13.A rectangle is 12 cm long and 6 cm wide. What is its area? (a) 18 sq cm (b) 72 sq cm (c) 84 sq cm (d) 36 sq cm
  14. 14.A rectangle is 16 cm long and 12 cm wide. What is its perimeter? (a) 192 cm (b) 28 cm (c) 56 cm (d) 44 cm
  15. 15.A rectangle is 11 cm long and 3 cm wide. What is its area? (a) 28 sq cm (b) 44 sq cm (c) 14 sq cm (d) 33 sq cm
  16. 16.A rectangle is 13 cm long and 7 cm wide. What is its area? (a) 104 sq cm (b) 20 sq cm (c) 40 sq cm (d) 91 sq cm
  17. 17.A rectangle is 19 cm long and 5 cm wide. What is its area? (a) 95 sq cm (b) 114 sq cm (c) 48 sq cm (d) 24 sq cm
  18. 18.A rectangle has an area of 15 sq cm and a length of 5 cm. What is its width? (a) 3 cm (b) 6 cm (c) 4 cm (d) 10 cm
  19. 19.A rectangle has an area of 42 sq cm and a length of 14 cm. What is its width? (a) 6 cm (b) 28 cm (c) 4 cm (d) 3 cm
  20. 20.A rectangle has an area of 44 sq cm and a length of 11 cm. What is its width? (a) 8 cm (b) 4 cm (c) 5 cm (d) 33 cm
  21. 21.A rectangle is 18 cm long and 6 cm wide. What is its perimeter? (a) 24 cm (b) 42 cm (c) 108 cm (d) 48 cm
  22. 22.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 17 cm (b) 21 cm (c) 10 cm (d) 20 cm
  23. 23.A rectangle is 9 cm long and 4 cm wide. What is its perimeter? (a) 13 cm (b) 26 cm (c) 22 cm (d) 36 cm
  24. 24.A rectangle is 10 cm long and 4 cm wide. What is its perimeter? (a) 40 cm (b) 14 cm (c) 24 cm (d) 28 cm
  25. 25.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 26 sq cm (c) 196 sq cm (d) 169 sq cm
  26. 26.A rectangle has an area of 32 sq cm and a length of 8 cm. What is its width? (a) 4 cm (b) 24 cm (c) 5 cm (d) 8 cm
  27. 27.A rectangle is 15 cm long and 9 cm wide. What is its area? (a) 150 sq cm (b) 24 sq cm (c) 135 sq cm (d) 48 sq cm
  28. 28.A rectangle has an area of 60 sq cm and a length of 10 cm. What is its width? (a) 12 cm (b) 6 cm (c) 7 cm (d) 50 cm
  29. 29.A rectangle is 14 cm long and 7 cm wide. What is its perimeter? (a) 98 cm (b) 21 cm (c) 42 cm (d) 35 cm
  30. 30.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 18 cm (b) 19 cm (c) 9 cm (d) 15 cm
  31. 31.A rectangle is 14 cm long and 10 cm wide. What is its area? (a) 48 sq cm (b) 154 sq cm (c) 24 sq cm (d) 140 sq cm
  32. 32.A rectangle has an area of 198 sq cm and a length of 18 cm. What is its width? (a) 180 cm (b) 22 cm (c) 11 cm (d) 12 cm
  33. 33.A rectangle is 14 cm long and 4 cm wide. What is its area? (a) 18 sq cm (b) 56 sq cm (c) 36 sq cm (d) 70 sq cm
  34. 34.A rectangle is 10 cm long and 3 cm wide. What is its area? (a) 40 sq cm (b) 13 sq cm (c) 30 sq cm (d) 26 sq cm
  35. 35.A rectangle is 16 cm long and 8 cm wide. What is its area? (a) 48 sq cm (b) 128 sq cm (c) 24 sq cm (d) 144 sq cm
  36. 36.A rectangle is 18 cm long and 7 cm wide. What is its perimeter? (a) 43 cm (b) 126 cm (c) 50 cm (d) 25 cm
  37. 37.A rectangle is 12 cm long and 2 cm wide. What is its area? (a) 36 sq cm (b) 28 sq cm (c) 14 sq cm (d) 24 sq cm
  38. 38.A rectangle has an area of 80 sq cm and a length of 10 cm. What is its width? (a) 16 cm (b) 9 cm (c) 70 cm (d) 8 cm
  39. 39.A rectangle has an area of 12 sq cm and a length of 6 cm. What is its width? (a) 3 cm (b) 6 cm (c) 4 cm (d) 2 cm
  40. 40.A rectangle is 14 cm long and 6 cm wide. What is its perimeter? (a) 20 cm (b) 34 cm (c) 40 cm (d) 84 cm

Answer key

  1. 225 sq cm
  2. 11 cm
  3. 8 cm
  4. 64 sq cm
  5. 36 sq cm
  6. 18 cm
  7. 3 cm
  8. 2 cm
  9. 49 sq cm
  10. 220 sq cm
  11. 144 sq cm
  12. 12 cm
  13. 72 sq cm
  14. 56 cm
  15. 33 sq cm
  16. 91 sq cm
  17. 95 sq cm
  18. 3 cm
  19. 3 cm
  20. 4 cm
  21. 48 cm
  22. 20 cm
  23. 26 cm
  24. 28 cm
  25. 169 sq cm
  26. 4 cm
  27. 135 sq cm
  28. 6 cm
  29. 42 cm
  30. 18 cm
  31. 140 sq cm
  32. 11 cm
  33. 56 sq cm
  34. 30 sq cm
  35. 128 sq cm
  36. 50 cm
  37. 24 sq cm
  38. 8 cm
  39. 2 cm
  40. 40 cm

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