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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 233 · 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 7 cm long and 2 cm wide. What is its area? (a) 9 sq cm (b) 18 sq cm (c) 14 sq cm (d) 21 sq cm
  2. 2.A rectangle has an area of 143 sq cm and a length of 13 cm. What is its width? (a) 130 cm (b) 22 cm (c) 12 cm (d) 11 cm
  3. 3.A rectangle is 15 cm long and 12 cm wide. What is its perimeter? (a) 54 cm (b) 180 cm (c) 42 cm (d) 27 cm
  4. 4.A rectangle is 11 cm long and 2 cm wide. What is its area? (a) 13 sq cm (b) 22 sq cm (c) 26 sq cm (d) 33 sq cm
  5. 5.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) 200 cm (d) 12 cm
  6. 6.A rectangle is 12 cm long and 10 cm wide. What is its perimeter? (a) 120 cm (b) 22 cm (c) 34 cm (d) 44 cm
  7. 7.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 16 sq cm (c) 64 sq cm (d) 81 sq cm
  8. 8.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 24 cm (b) 22 cm (c) 19 cm (d) 11 cm
  9. 9.A rectangle has an area of 40 sq cm and a length of 8 cm. What is its width? (a) 5 cm (b) 32 cm (c) 6 cm (d) 10 cm
  10. 10.A rectangle has an area of 16 sq cm and a length of 8 cm. What is its width? (a) 3 cm (b) 4 cm (c) 2 cm (d) 8 cm
  11. 11.A rectangle is 11 cm long and 8 cm wide. What is its perimeter? (a) 38 cm (b) 19 cm (c) 88 cm (d) 30 cm
  12. 12.A rectangle is 15 cm long and 8 cm wide. What is its perimeter? (a) 23 cm (b) 38 cm (c) 46 cm (d) 120 cm
  13. 13.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 49 sq cm (c) 24 sq cm (d) 36 sq cm
  14. 14.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 30 sq cm (c) 225 sq cm (d) 60 sq cm
  15. 15.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 225 sq cm (c) 28 sq cm (d) 196 sq cm
  16. 16.A rectangle has an area of 180 sq cm and a length of 15 cm. What is its width? (a) 13 cm (b) 165 cm (c) 24 cm (d) 12 cm
  17. 17.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 42 sq cm (b) 26 sq cm (c) 49 sq cm (d) 13 sq cm
  18. 18.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
  19. 19.A rectangle is 11 cm long and 9 cm wide. What is its area? (a) 99 sq cm (b) 40 sq cm (c) 110 sq cm (d) 20 sq cm
  20. 20.A rectangle has an area of 126 sq cm and a length of 18 cm. What is its width? (a) 8 cm (b) 14 cm (c) 7 cm (d) 108 cm
  21. 21.A rectangle has an area of 90 sq cm and a length of 18 cm. What is its width? (a) 72 cm (b) 5 cm (c) 6 cm (d) 10 cm
  22. 22.A rectangle is 10 cm long and 2 cm wide. What is its perimeter? (a) 12 cm (b) 22 cm (c) 20 cm (d) 24 cm
  23. 23.A rectangle has an area of 192 sq cm and a length of 16 cm. What is its width? (a) 176 cm (b) 13 cm (c) 24 cm (d) 12 cm
  24. 24.A rectangle has an area of 168 sq cm and a length of 14 cm. What is its width? (a) 24 cm (b) 154 cm (c) 13 cm (d) 12 cm
  25. 25.A rectangle is 17 cm long and 5 cm wide. What is its perimeter? (a) 44 cm (b) 22 cm (c) 85 cm (d) 39 cm
  26. 26.A square has a perimeter of 48 cm. What is its area? (a) 144 sq cm (b) 169 sq cm (c) 48 sq cm (d) 24 sq cm
  27. 27.A rectangle has an area of 165 sq cm and a length of 15 cm. What is its width? (a) 150 cm (b) 11 cm (c) 12 cm (d) 22 cm
  28. 28.A rectangle has an area of 171 sq cm and a length of 19 cm. What is its width? (a) 152 cm (b) 10 cm (c) 18 cm (d) 9 cm
  29. 29.A rectangle has an area of 76 sq cm and a length of 19 cm. What is its width? (a) 5 cm (b) 4 cm (c) 57 cm (d) 8 cm
  30. 30.A rectangle has an area of 98 sq cm and a length of 14 cm. What is its width? (a) 7 cm (b) 8 cm (c) 84 cm (d) 14 cm
  31. 31.A rectangle has an area of 190 sq cm and a length of 19 cm. What is its width? (a) 20 cm (b) 171 cm (c) 11 cm (d) 10 cm
  32. 32.A rectangle is 11 cm long and 7 cm wide. What is its perimeter? (a) 77 cm (b) 36 cm (c) 29 cm (d) 18 cm
  33. 33.A rectangle is 19 cm long and 10 cm wide. What is its area? (a) 29 sq cm (b) 58 sq cm (c) 190 sq cm (d) 209 sq cm
  34. 34.A square has a perimeter of 40 cm. What is its area? (a) 100 sq cm (b) 40 sq cm (c) 121 sq cm (d) 20 sq cm
  35. 35.A rectangle is 9 cm long and 7 cm wide. What is its area? (a) 72 sq cm (b) 16 sq cm (c) 32 sq cm (d) 63 sq cm
  36. 36.A rectangle is 13 cm long and 8 cm wide. What is its area? (a) 104 sq cm (b) 21 sq cm (c) 42 sq cm (d) 117 sq cm
  37. 37.A rectangle has an area of 170 sq cm and a length of 17 cm. What is its width? (a) 153 cm (b) 11 cm (c) 20 cm (d) 10 cm
  38. 38.A rectangle has an area of 6 sq cm and a length of 3 cm. What is its width? (a) 4 cm (b) 3 cm (c) 1 cm (d) 2 cm
  39. 39.A rectangle has an area of 112 sq cm and a length of 14 cm. What is its width? (a) 8 cm (b) 9 cm (c) 16 cm (d) 98 cm
  40. 40.A rectangle is 15 cm long and 3 cm wide. What is its area? (a) 36 sq cm (b) 60 sq cm (c) 45 sq cm (d) 18 sq cm

Answer key

  1. 14 sq cm
  2. 11 cm
  3. 54 cm
  4. 22 sq cm
  5. 11 cm
  6. 44 cm
  7. 64 sq cm
  8. 22 cm
  9. 5 cm
  10. 2 cm
  11. 38 cm
  12. 46 cm
  13. 36 sq cm
  14. 225 sq cm
  15. 196 sq cm
  16. 12 cm
  17. 42 sq cm
  18. 25 sq cm
  19. 99 sq cm
  20. 7 cm
  21. 5 cm
  22. 24 cm
  23. 12 cm
  24. 12 cm
  25. 44 cm
  26. 144 sq cm
  27. 11 cm
  28. 9 cm
  29. 4 cm
  30. 7 cm
  31. 10 cm
  32. 36 cm
  33. 190 sq cm
  34. 100 sq cm
  35. 63 sq cm
  36. 104 sq cm
  37. 10 cm
  38. 2 cm
  39. 8 cm
  40. 45 sq cm

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