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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 129 · 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 20 cm. What is its area? (a) 10 sq cm (b) 20 sq cm (c) 25 sq cm (d) 36 sq cm
  2. 2.A rectangle has an area of 228 sq cm and a length of 19 cm. What is its width? (a) 12 cm (b) 13 cm (c) 24 cm (d) 209 cm
  3. 3.A rectangle is 17 cm long and 10 cm wide. What is its perimeter? (a) 44 cm (b) 170 cm (c) 54 cm (d) 27 cm
  4. 4.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 12 sq cm (b) 8 sq cm (c) 18 sq cm (d) 16 sq cm
  5. 5.A rectangle has an area of 126 sq cm and a length of 18 cm. What is its width? (a) 14 cm (b) 7 cm (c) 8 cm (d) 108 cm
  6. 6.A rectangle has an area of 24 sq cm and a length of 6 cm. What is its width? (a) 4 cm (b) 5 cm (c) 18 cm (d) 8 cm
  7. 7.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 9 sq cm (c) 19 sq cm (d) 18 sq cm
  8. 8.A rectangle is 16 cm long and 9 cm wide. What is its area? (a) 50 sq cm (b) 144 sq cm (c) 25 sq cm (d) 160 sq cm
  9. 9.A rectangle has an area of 10 sq cm and a length of 5 cm. What is its width? (a) 2 cm (b) 3 cm (c) 4 cm (d) 5 cm
  10. 10.A rectangle is 13 cm long and 11 cm wide. What is its area? (a) 156 sq cm (b) 24 sq cm (c) 143 sq cm (d) 48 sq cm
  11. 11.A rectangle has an area of 152 sq cm and a length of 19 cm. What is its width? (a) 133 cm (b) 9 cm (c) 8 cm (d) 16 cm
  12. 12.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 60 sq cm (c) 256 sq cm (d) 225 sq cm
  13. 13.A rectangle is 14 cm long and 8 cm wide. What is its area? (a) 126 sq cm (b) 44 sq cm (c) 22 sq cm (d) 112 sq cm
  14. 14.A rectangle is 15 cm long and 2 cm wide. What is its perimeter? (a) 17 cm (b) 30 cm (c) 32 cm (d) 34 cm
  15. 15.A rectangle is 10 cm long and 4 cm wide. What is its perimeter? (a) 14 cm (b) 40 cm (c) 24 cm (d) 28 cm
  16. 16.A rectangle is 20 cm long and 11 cm wide. What is its area? (a) 31 sq cm (b) 240 sq cm (c) 62 sq cm (d) 220 sq cm
  17. 17.A rectangle is 19 cm long and 9 cm wide. What is its area? (a) 190 sq cm (b) 171 sq cm (c) 56 sq cm (d) 28 sq cm
  18. 18.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 48 sq cm (c) 169 sq cm (d) 144 sq cm
  19. 19.A rectangle is 18 cm long and 3 cm wide. What is its area? (a) 54 sq cm (b) 72 sq cm (c) 42 sq cm (d) 21 sq cm
  20. 20.A rectangle is 19 cm long and 9 cm wide. What is its perimeter? (a) 171 cm (b) 47 cm (c) 56 cm (d) 28 cm
  21. 21.A rectangle has an area of 40 sq cm and a length of 20 cm. What is its width? (a) 4 cm (b) 20 cm (c) 3 cm (d) 2 cm
  22. 22.A rectangle is 15 cm long and 3 cm wide. What is its area? (a) 60 sq cm (b) 45 sq cm (c) 36 sq cm (d) 18 sq cm
  23. 23.A square has a perimeter of 24 cm. What is its area? (a) 36 sq cm (b) 49 sq cm (c) 12 sq cm (d) 24 sq cm
  24. 24.A rectangle has an area of 28 sq cm and a length of 7 cm. What is its width? (a) 4 cm (b) 21 cm (c) 5 cm (d) 8 cm
  25. 25.A rectangle is 11 cm long and 4 cm wide. What is its perimeter? (a) 30 cm (b) 26 cm (c) 44 cm (d) 15 cm
  26. 26.A rectangle is 18 cm long and 8 cm wide. What is its area? (a) 162 sq cm (b) 144 sq cm (c) 26 sq cm (d) 52 sq cm
  27. 27.A rectangle is 11 cm long and 6 cm wide. What is its perimeter? (a) 17 cm (b) 34 cm (c) 28 cm (d) 66 cm
  28. 28.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 225 sq cm (c) 196 sq cm (d) 28 sq cm
  29. 29.A rectangle is 19 cm long and 8 cm wide. What is its area? (a) 27 sq cm (b) 171 sq cm (c) 152 sq cm (d) 54 sq cm
  30. 30.A rectangle is 15 cm long and 11 cm wide. What is its perimeter? (a) 26 cm (b) 165 cm (c) 52 cm (d) 41 cm
  31. 31.A rectangle is 9 cm long and 8 cm wide. What is its area? (a) 34 sq cm (b) 17 sq cm (c) 72 sq cm (d) 81 sq cm
  32. 32.A rectangle is 15 cm long and 10 cm wide. What is its perimeter? (a) 40 cm (b) 25 cm (c) 50 cm (d) 150 cm
  33. 33.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 14 sq cm (b) 18 sq cm (c) 21 sq cm (d) 9 sq cm
  34. 34.A rectangle is 11 cm long and 7 cm wide. What is its area? (a) 88 sq cm (b) 77 sq cm (c) 36 sq cm (d) 18 sq cm
  35. 35.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 196 sq cm (c) 169 sq cm (d) 26 sq cm
  36. 36.A rectangle has an area of 66 sq cm and a length of 11 cm. What is its width? (a) 55 cm (b) 7 cm (c) 12 cm (d) 6 cm
  37. 37.A rectangle is 17 cm long and 7 cm wide. What is its perimeter? (a) 48 cm (b) 24 cm (c) 41 cm (d) 119 cm
  38. 38.A rectangle has an area of 153 sq cm and a length of 17 cm. What is its width? (a) 18 cm (b) 10 cm (c) 136 cm (d) 9 cm
  39. 39.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) 12 cm (d) 6 cm
  40. 40.A rectangle is 19 cm long and 4 cm wide. What is its area? (a) 46 sq cm (b) 76 sq cm (c) 23 sq cm (d) 95 sq cm

Answer key

  1. 25 sq cm
  2. 12 cm
  3. 54 cm
  4. 12 sq cm
  5. 7 cm
  6. 4 cm
  7. 18 sq cm
  8. 144 sq cm
  9. 2 cm
  10. 143 sq cm
  11. 8 cm
  12. 225 sq cm
  13. 112 sq cm
  14. 34 cm
  15. 28 cm
  16. 220 sq cm
  17. 171 sq cm
  18. 144 sq cm
  19. 54 sq cm
  20. 56 cm
  21. 2 cm
  22. 45 sq cm
  23. 36 sq cm
  24. 4 cm
  25. 30 cm
  26. 144 sq cm
  27. 34 cm
  28. 196 sq cm
  29. 152 sq cm
  30. 52 cm
  31. 72 sq cm
  32. 50 cm
  33. 14 sq cm
  34. 77 sq cm
  35. 169 sq cm
  36. 6 cm
  37. 48 cm
  38. 9 cm
  39. 6 cm
  40. 76 sq cm

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