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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 104 · 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 rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 20 cm (b) 16 cm (c) 10 cm (d) 24 cm
  2. 2.A rectangle is 14 cm long and 7 cm wide. What is its perimeter? (a) 21 cm (b) 42 cm (c) 98 cm (d) 35 cm
  3. 3.A rectangle has an area of 220 sq cm and a length of 20 cm. What is its width? (a) 12 cm (b) 22 cm (c) 11 cm (d) 200 cm
  4. 4.A rectangle is 13 cm long and 9 cm wide. What is its perimeter? (a) 22 cm (b) 44 cm (c) 35 cm (d) 117 cm
  5. 5.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 56 sq cm (c) 196 sq cm (d) 225 sq cm
  6. 6.A rectangle is 16 cm long and 12 cm wide. What is its area? (a) 28 sq cm (b) 192 sq cm (c) 208 sq cm (d) 56 sq cm
  7. 7.A rectangle is 9 cm long and 6 cm wide. What is its perimeter? (a) 24 cm (b) 30 cm (c) 15 cm (d) 54 cm
  8. 8.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 256 sq cm (c) 225 sq cm (d) 30 sq cm
  9. 9.A rectangle has an area of 76 sq cm and a length of 19 cm. What is its width? (a) 8 cm (b) 57 cm (c) 4 cm (d) 5 cm
  10. 10.A square has a perimeter of 24 cm. What is its area? (a) 36 sq cm (b) 24 sq cm (c) 12 sq cm (d) 49 sq cm
  11. 11.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 9 sq cm (b) 21 sq cm (c) 14 sq cm (d) 18 sq cm
  12. 12.A rectangle has an area of 72 sq cm and a length of 9 cm. What is its width? (a) 8 cm (b) 9 cm (c) 16 cm (d) 63 cm
  13. 13.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 30 sq cm (b) 15 sq cm (c) 56 sq cm (d) 64 sq cm
  14. 14.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 22 cm (b) 24 cm (c) 11 cm (d) 19 cm
  15. 15.A rectangle is 13 cm long and 12 cm wide. What is its perimeter? (a) 156 cm (b) 25 cm (c) 50 cm (d) 38 cm
  16. 16.A rectangle has an area of 12 sq cm and a length of 4 cm. What is its width? (a) 4 cm (b) 3 cm (c) 8 cm (d) 6 cm
  17. 17.A rectangle has an area of 90 sq cm and a length of 18 cm. What is its width? (a) 10 cm (b) 72 cm (c) 6 cm (d) 5 cm
  18. 18.A rectangle has an area of 72 sq cm and a length of 12 cm. What is its width? (a) 60 cm (b) 7 cm (c) 6 cm (d) 12 cm
  19. 19.A rectangle is 18 cm long and 8 cm wide. What is its perimeter? (a) 144 cm (b) 44 cm (c) 26 cm (d) 52 cm
  20. 20.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 36 sq cm (c) 10 sq cm (d) 25 sq cm
  21. 21.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 14 sq cm (b) 45 sq cm (c) 54 sq cm (d) 28 sq cm
  22. 22.A rectangle is 13 cm long and 3 cm wide. What is its perimeter? (a) 39 cm (b) 29 cm (c) 16 cm (d) 32 cm
  23. 23.A rectangle has an area of 168 sq cm and a length of 14 cm. What is its width? (a) 13 cm (b) 12 cm (c) 154 cm (d) 24 cm
  24. 24.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
  25. 25.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 144 sq cm (c) 121 sq cm (d) 44 sq cm
  26. 26.A rectangle is 20 cm long and 3 cm wide. What is its area? (a) 23 sq cm (b) 80 sq cm (c) 46 sq cm (d) 60 sq cm
  27. 27.A rectangle is 11 cm long and 10 cm wide. What is its area? (a) 121 sq cm (b) 110 sq cm (c) 42 sq cm (d) 21 sq cm
  28. 28.A rectangle is 15 cm long and 6 cm wide. What is its area? (a) 105 sq cm (b) 21 sq cm (c) 90 sq cm (d) 42 sq cm
  29. 29.A rectangle has an area of 240 sq cm and a length of 20 cm. What is its width? (a) 220 cm (b) 24 cm (c) 13 cm (d) 12 cm
  30. 30.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) 18 cm (d) 128 cm
  31. 31.A rectangle is 20 cm long and 11 cm wide. What is its area? (a) 31 sq cm (b) 220 sq cm (c) 62 sq cm (d) 240 sq cm
  32. 32.A rectangle is 19 cm long and 3 cm wide. What is its area? (a) 22 sq cm (b) 57 sq cm (c) 76 sq cm (d) 44 sq cm
  33. 33.A rectangle has an area of 20 sq cm and a length of 5 cm. What is its width? (a) 4 cm (b) 5 cm (c) 15 cm (d) 8 cm
  34. 34.A rectangle is 12 cm long and 2 cm wide. What is its area? (a) 28 sq cm (b) 36 sq cm (c) 24 sq cm (d) 14 sq cm
  35. 35.A rectangle has an area of 88 sq cm and a length of 11 cm. What is its width? (a) 9 cm (b) 8 cm (c) 16 cm (d) 77 cm
  36. 36.A rectangle is 19 cm long and 12 cm wide. What is its perimeter? (a) 62 cm (b) 50 cm (c) 31 cm (d) 228 cm
  37. 37.A rectangle is 20 cm long and 2 cm wide. What is its area? (a) 22 sq cm (b) 60 sq cm (c) 40 sq cm (d) 44 sq cm
  38. 38.A rectangle has an area of 42 sq cm and a length of 7 cm. What is its width? (a) 7 cm (b) 12 cm (c) 6 cm (d) 35 cm
  39. 39.A rectangle has an area of 21 sq cm and a length of 7 cm. What is its width? (a) 4 cm (b) 14 cm (c) 3 cm (d) 6 cm
  40. 40.A rectangle has an area of 16 sq cm and a length of 8 cm. What is its width? (a) 2 cm (b) 8 cm (c) 4 cm (d) 3 cm

Answer key

  1. 20 cm
  2. 42 cm
  3. 11 cm
  4. 44 cm
  5. 196 sq cm
  6. 192 sq cm
  7. 30 cm
  8. 225 sq cm
  9. 4 cm
  10. 36 sq cm
  11. 14 sq cm
  12. 8 cm
  13. 56 sq cm
  14. 22 cm
  15. 50 cm
  16. 3 cm
  17. 5 cm
  18. 6 cm
  19. 52 cm
  20. 25 sq cm
  21. 45 sq cm
  22. 32 cm
  23. 12 cm
  24. 12 cm
  25. 121 sq cm
  26. 60 sq cm
  27. 110 sq cm
  28. 90 sq cm
  29. 12 cm
  30. 9 cm
  31. 220 sq cm
  32. 57 sq cm
  33. 4 cm
  34. 24 sq cm
  35. 8 cm
  36. 62 cm
  37. 40 sq cm
  38. 6 cm
  39. 3 cm
  40. 2 cm

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