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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 773 · 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 14 cm long and 11 cm wide. What is its perimeter? (a) 39 cm (b) 25 cm (c) 50 cm (d) 154 cm
  2. 2.A rectangle has an area of 72 sq cm and a length of 12 cm. What is its width? (a) 60 cm (b) 6 cm (c) 12 cm (d) 7 cm
  3. 3.A rectangle has an area of 120 sq cm and a length of 15 cm. What is its width? (a) 105 cm (b) 16 cm (c) 9 cm (d) 8 cm
  4. 4.A rectangle is 20 cm long and 11 cm wide. What is its area? (a) 240 sq cm (b) 220 sq cm (c) 31 sq cm (d) 62 sq cm
  5. 5.A rectangle is 8 cm long and 5 cm wide. What is its perimeter? (a) 13 cm (b) 40 cm (c) 26 cm (d) 21 cm
  6. 6.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 81 sq cm (c) 100 sq cm (d) 36 sq cm
  7. 7.A rectangle has an area of 99 sq cm and a length of 11 cm. What is its width? (a) 88 cm (b) 10 cm (c) 9 cm (d) 18 cm
  8. 8.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 100 sq cm (c) 40 sq cm (d) 20 sq cm
  9. 9.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
  10. 10.A rectangle is 13 cm long and 9 cm wide. What is its perimeter? (a) 117 cm (b) 22 cm (c) 44 cm (d) 35 cm
  11. 11.A rectangle is 11 cm long and 10 cm wide. What is its area? (a) 42 sq cm (b) 21 sq cm (c) 110 sq cm (d) 121 sq cm
  12. 12.A rectangle has an area of 112 sq cm and a length of 14 cm. What is its width? (a) 9 cm (b) 98 cm (c) 16 cm (d) 8 cm
  13. 13.A rectangle has an area of 104 sq cm and a length of 13 cm. What is its width? (a) 9 cm (b) 91 cm (c) 8 cm (d) 16 cm
  14. 14.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 44 sq cm (c) 121 sq cm (d) 22 sq cm
  15. 15.A rectangle has an area of 176 sq cm and a length of 16 cm. What is its width? (a) 11 cm (b) 12 cm (c) 160 cm (d) 22 cm
  16. 16.A rectangle is 16 cm long and 10 cm wide. What is its area? (a) 176 sq cm (b) 160 sq cm (c) 26 sq cm (d) 52 sq cm
  17. 17.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 11 sq cm (b) 24 sq cm (c) 22 sq cm (d) 32 sq cm
  18. 18.A rectangle is 16 cm long and 5 cm wide. What is its area? (a) 21 sq cm (b) 96 sq cm (c) 42 sq cm (d) 80 sq cm
  19. 19.A rectangle is 17 cm long and 11 cm wide. What is its perimeter? (a) 28 cm (b) 187 cm (c) 45 cm (d) 56 cm
  20. 20.A rectangle has an area of 65 sq cm and a length of 13 cm. What is its width? (a) 10 cm (b) 6 cm (c) 52 cm (d) 5 cm
  21. 21.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 144 sq cm (c) 48 sq cm (d) 169 sq cm
  22. 22.A rectangle is 20 cm long and 10 cm wide. What is its area? (a) 30 sq cm (b) 60 sq cm (c) 220 sq cm (d) 200 sq cm
  23. 23.A rectangle has an area of 154 sq cm and a length of 14 cm. What is its width? (a) 11 cm (b) 12 cm (c) 22 cm (d) 140 cm
  24. 24.A rectangle has an area of 24 sq cm and a length of 8 cm. What is its width? (a) 16 cm (b) 4 cm (c) 6 cm (d) 3 cm
  25. 25.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 28 sq cm (b) 10 sq cm (c) 21 sq cm (d) 20 sq cm
  26. 26.A rectangle is 17 cm long and 3 cm wide. What is its perimeter? (a) 51 cm (b) 20 cm (c) 37 cm (d) 40 cm
  27. 27.A rectangle is 16 cm long and 7 cm wide. What is its area? (a) 112 sq cm (b) 128 sq cm (c) 23 sq cm (d) 46 sq cm
  28. 28.A rectangle has an area of 136 sq cm and a length of 17 cm. What is its width? (a) 119 cm (b) 16 cm (c) 9 cm (d) 8 cm
  29. 29.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 10 sq cm (c) 20 sq cm (d) 25 sq cm
  30. 30.A rectangle has an area of 209 sq cm and a length of 19 cm. What is its width? (a) 22 cm (b) 12 cm (c) 11 cm (d) 190 cm
  31. 31.A rectangle is 19 cm long and 4 cm wide. What is its perimeter? (a) 46 cm (b) 76 cm (c) 23 cm (d) 42 cm
  32. 32.A rectangle is 9 cm long and 6 cm wide. What is its area? (a) 63 sq cm (b) 30 sq cm (c) 15 sq cm (d) 54 sq cm
  33. 33.A rectangle is 10 cm long and 8 cm wide. What is its area? (a) 36 sq cm (b) 18 sq cm (c) 80 sq cm (d) 90 sq cm
  34. 34.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 56 sq cm (c) 28 sq cm (d) 196 sq cm
  35. 35.A rectangle is 18 cm long and 10 cm wide. What is its area? (a) 56 sq cm (b) 198 sq cm (c) 28 sq cm (d) 180 sq cm
  36. 36.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 24 sq cm (b) 42 sq cm (c) 35 sq cm (d) 12 sq cm
  37. 37.A rectangle is 17 cm long and 5 cm wide. What is its area? (a) 22 sq cm (b) 102 sq cm (c) 85 sq cm (d) 44 sq cm
  38. 38.A rectangle is 14 cm long and 6 cm wide. What is its perimeter? (a) 84 cm (b) 34 cm (c) 40 cm (d) 20 cm
  39. 39.A rectangle is 11 cm long and 3 cm wide. What is its area? (a) 28 sq cm (b) 33 sq cm (c) 44 sq cm (d) 14 sq cm
  40. 40.A rectangle is 12 cm long and 11 cm wide. What is its perimeter? (a) 23 cm (b) 46 cm (c) 132 cm (d) 35 cm

Answer key

  1. 50 cm
  2. 6 cm
  3. 8 cm
  4. 220 sq cm
  5. 26 cm
  6. 81 sq cm
  7. 9 cm
  8. 100 sq cm
  9. 24 sq cm
  10. 44 cm
  11. 110 sq cm
  12. 8 cm
  13. 8 cm
  14. 121 sq cm
  15. 11 cm
  16. 160 sq cm
  17. 24 sq cm
  18. 80 sq cm
  19. 56 cm
  20. 5 cm
  21. 144 sq cm
  22. 200 sq cm
  23. 11 cm
  24. 3 cm
  25. 21 sq cm
  26. 40 cm
  27. 112 sq cm
  28. 8 cm
  29. 25 sq cm
  30. 11 cm
  31. 46 cm
  32. 54 sq cm
  33. 80 sq cm
  34. 196 sq cm
  35. 180 sq cm
  36. 35 sq cm
  37. 85 sq cm
  38. 40 cm
  39. 33 sq cm
  40. 46 cm

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