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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 644 · 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 has an area of 114 sq cm and a length of 19 cm. What is its width? (a) 6 cm (b) 7 cm (c) 12 cm (d) 95 cm
  2. 2.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 20 sq cm (b) 24 sq cm (c) 10 sq cm (d) 30 sq cm
  3. 3.A rectangle is 16 cm long and 7 cm wide. What is its area? (a) 128 sq cm (b) 112 sq cm (c) 23 sq cm (d) 46 sq cm
  4. 4.A rectangle has an area of 187 sq cm and a length of 17 cm. What is its width? (a) 22 cm (b) 11 cm (c) 170 cm (d) 12 cm
  5. 5.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 14 sq cm (c) 9 sq cm (d) 21 sq cm
  6. 6.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 24 sq cm (b) 12 sq cm (c) 32 sq cm (d) 40 sq cm
  7. 7.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 10 sq cm (c) 36 sq cm (d) 20 sq cm
  8. 8.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 36 sq cm (c) 81 sq cm (d) 100 sq cm
  9. 9.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 44 sq cm (c) 144 sq cm (d) 121 sq cm
  10. 10.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 28 sq cm (c) 64 sq cm (d) 49 sq cm
  11. 11.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 196 sq cm (c) 26 sq cm (d) 169 sq cm
  12. 12.A rectangle is 12 cm long and 5 cm wide. What is its perimeter? (a) 60 cm (b) 34 cm (c) 17 cm (d) 29 cm
  13. 13.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 10 sq cm (b) 28 sq cm (c) 20 sq cm (d) 21 sq cm
  14. 14.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
  15. 15.A rectangle is 16 cm long and 4 cm wide. What is its perimeter? (a) 20 cm (b) 36 cm (c) 40 cm (d) 64 cm
  16. 16.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 144 sq cm (c) 169 sq cm (d) 24 sq cm
  17. 17.A rectangle has an area of 30 sq cm and a length of 15 cm. What is its width? (a) 4 cm (b) 3 cm (c) 15 cm (d) 2 cm
  18. 18.A rectangle has an area of 240 sq cm and a length of 20 cm. What is its width? (a) 220 cm (b) 12 cm (c) 13 cm (d) 24 cm
  19. 19.A rectangle is 15 cm long and 3 cm wide. What is its perimeter? (a) 45 cm (b) 33 cm (c) 36 cm (d) 18 cm
  20. 20.A rectangle is 18 cm long and 4 cm wide. What is its perimeter? (a) 72 cm (b) 44 cm (c) 22 cm (d) 40 cm
  21. 21.A rectangle is 15 cm long and 12 cm wide. What is its perimeter? (a) 42 cm (b) 27 cm (c) 54 cm (d) 180 cm
  22. 22.A rectangle is 14 cm long and 10 cm wide. What is its area? (a) 24 sq cm (b) 154 sq cm (c) 48 sq cm (d) 140 sq cm
  23. 23.A rectangle is 10 cm long and 9 cm wide. What is its area? (a) 100 sq cm (b) 19 sq cm (c) 38 sq cm (d) 90 sq cm
  24. 24.A rectangle has an area of 77 sq cm and a length of 11 cm. What is its width? (a) 8 cm (b) 14 cm (c) 7 cm (d) 66 cm
  25. 25.A rectangle is 20 cm long and 5 cm wide. What is its area? (a) 120 sq cm (b) 25 sq cm (c) 100 sq cm (d) 50 sq cm
  26. 26.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 24 sq cm (c) 36 sq cm (d) 12 sq cm
  27. 27.A rectangle has an area of 160 sq cm and a length of 16 cm. What is its width? (a) 10 cm (b) 20 cm (c) 11 cm (d) 144 cm
  28. 28.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 64 sq cm (c) 81 sq cm (d) 32 sq cm
  29. 29.A rectangle is 19 cm long and 9 cm wide. What is its area? (a) 56 sq cm (b) 190 sq cm (c) 28 sq cm (d) 171 sq cm
  30. 30.A rectangle has an area of 75 sq cm and a length of 15 cm. What is its width? (a) 5 cm (b) 10 cm (c) 60 cm (d) 6 cm
  31. 31.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 19 cm (b) 12 cm (c) 24 cm (d) 35 cm
  32. 32.A rectangle is 16 cm long and 3 cm wide. What is its area? (a) 19 sq cm (b) 48 sq cm (c) 64 sq cm (d) 38 sq cm
  33. 33.A rectangle is 14 cm long and 4 cm wide. What is its area? (a) 56 sq cm (b) 70 sq cm (c) 18 sq cm (d) 36 sq cm
  34. 34.A rectangle has an area of 168 sq cm and a length of 14 cm. What is its width? (a) 12 cm (b) 154 cm (c) 24 cm (d) 13 cm
  35. 35.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 8 cm (b) 12 cm (c) 14 cm (d) 16 cm
  36. 36.A rectangle is 12 cm long and 2 cm wide. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 24 sq cm (d) 36 sq cm
  37. 37.A rectangle has an area of 32 sq cm and a length of 8 cm. What is its width? (a) 5 cm (b) 8 cm (c) 24 cm (d) 4 cm
  38. 38.A rectangle has an area of 180 sq cm and a length of 15 cm. What is its width? (a) 165 cm (b) 24 cm (c) 12 cm (d) 13 cm
  39. 39.A rectangle is 13 cm long and 4 cm wide. What is its perimeter? (a) 52 cm (b) 17 cm (c) 34 cm (d) 30 cm
  40. 40.A rectangle is 17 cm long and 8 cm wide. What is its area? (a) 50 sq cm (b) 25 sq cm (c) 136 sq cm (d) 153 sq cm

Answer key

  1. 6 cm
  2. 24 sq cm
  3. 112 sq cm
  4. 11 cm
  5. 14 sq cm
  6. 32 sq cm
  7. 25 sq cm
  8. 81 sq cm
  9. 121 sq cm
  10. 49 sq cm
  11. 169 sq cm
  12. 34 cm
  13. 21 sq cm
  14. 196 sq cm
  15. 40 cm
  16. 144 sq cm
  17. 2 cm
  18. 12 cm
  19. 36 cm
  20. 44 cm
  21. 54 cm
  22. 140 sq cm
  23. 90 sq cm
  24. 7 cm
  25. 100 sq cm
  26. 36 sq cm
  27. 10 cm
  28. 64 sq cm
  29. 171 sq cm
  30. 5 cm
  31. 24 cm
  32. 48 sq cm
  33. 56 sq cm
  34. 12 cm
  35. 16 cm
  36. 24 sq cm
  37. 4 cm
  38. 12 cm
  39. 34 cm
  40. 136 sq cm

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