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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 964 · 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 16 cm long and 11 cm wide. What is its area? (a) 54 sq cm (b) 27 sq cm (c) 192 sq cm (d) 176 sq cm
  2. 2.A rectangle is 14 cm long and 4 cm wide. What is its perimeter? (a) 18 cm (b) 32 cm (c) 56 cm (d) 36 cm
  3. 3.A rectangle has an area of 6 sq cm and a length of 3 cm. What is its width? (a) 1 cm (b) 4 cm (c) 3 cm (d) 2 cm
  4. 4.A rectangle is 14 cm long and 12 cm wide. What is its area? (a) 26 sq cm (b) 182 sq cm (c) 168 sq cm (d) 52 sq cm
  5. 5.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 13 sq cm (b) 26 sq cm (c) 36 sq cm (d) 45 sq cm
  6. 6.A rectangle is 19 cm long and 10 cm wide. What is its area? (a) 29 sq cm (b) 209 sq cm (c) 190 sq cm (d) 58 sq cm
  7. 7.A rectangle is 19 cm long and 8 cm wide. What is its perimeter? (a) 152 cm (b) 46 cm (c) 54 cm (d) 27 cm
  8. 8.A rectangle is 20 cm long and 5 cm wide. What is its perimeter? (a) 100 cm (b) 25 cm (c) 45 cm (d) 50 cm
  9. 9.A rectangle has an area of 8 sq cm and a length of 4 cm. What is its width? (a) 1 cm (b) 3 cm (c) 4 cm (d) 2 cm
  10. 10.A rectangle is 14 cm long and 7 cm wide. What is its area? (a) 98 sq cm (b) 21 sq cm (c) 42 sq cm (d) 112 sq cm
  11. 11.A rectangle is 13 cm long and 3 cm wide. What is its area? (a) 52 sq cm (b) 32 sq cm (c) 39 sq cm (d) 16 sq cm
  12. 12.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 12 sq cm (c) 8 sq cm (d) 18 sq cm
  13. 13.A rectangle is 14 cm long and 12 cm wide. What is its perimeter? (a) 52 cm (b) 40 cm (c) 26 cm (d) 168 cm
  14. 14.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
  15. 15.A rectangle is 18 cm long and 3 cm wide. What is its perimeter? (a) 21 cm (b) 42 cm (c) 39 cm (d) 54 cm
  16. 16.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 15 cm (b) 19 cm (c) 9 cm (d) 18 cm
  17. 17.A rectangle has an area of 45 sq cm and a length of 15 cm. What is its width? (a) 4 cm (b) 30 cm (c) 3 cm (d) 6 cm
  18. 18.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) 140 cm (d) 22 cm
  19. 19.A rectangle is 19 cm long and 11 cm wide. What is its area? (a) 30 sq cm (b) 60 sq cm (c) 209 sq cm (d) 228 sq cm
  20. 20.A rectangle is 17 cm long and 10 cm wide. What is its area? (a) 54 sq cm (b) 187 sq cm (c) 27 sq cm (d) 170 sq cm
  21. 21.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 18 sq cm (c) 81 sq cm (d) 100 sq cm
  22. 22.A rectangle is 16 cm long and 9 cm wide. What is its area? (a) 25 sq cm (b) 160 sq cm (c) 50 sq cm (d) 144 sq cm
  23. 23.A rectangle has an area of 75 sq cm and a length of 15 cm. What is its width? (a) 6 cm (b) 60 cm (c) 5 cm (d) 10 cm
  24. 24.A rectangle is 8 cm long and 4 cm wide. What is its perimeter? (a) 20 cm (b) 12 cm (c) 32 cm (d) 24 cm
  25. 25.A rectangle is 12 cm long and 10 cm wide. What is its perimeter? (a) 120 cm (b) 44 cm (c) 34 cm (d) 22 cm
  26. 26.A rectangle is 20 cm long and 4 cm wide. What is its area? (a) 48 sq cm (b) 100 sq cm (c) 24 sq cm (d) 80 sq cm
  27. 27.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 12 sq cm (c) 36 sq cm (d) 49 sq cm
  28. 28.A rectangle is 10 cm long and 3 cm wide. What is its area? (a) 40 sq cm (b) 26 sq cm (c) 30 sq cm (d) 13 sq cm
  29. 29.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 28 sq cm (c) 56 sq cm (d) 225 sq cm
  30. 30.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 169 sq cm (c) 144 sq cm (d) 24 sq cm
  31. 31.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 81 sq cm (c) 64 sq cm (d) 32 sq cm
  32. 32.A rectangle is 17 cm long and 2 cm wide. What is its area? (a) 34 sq cm (b) 38 sq cm (c) 19 sq cm (d) 51 sq cm
  33. 33.A rectangle has an area of 63 sq cm and a length of 9 cm. What is its width? (a) 8 cm (b) 7 cm (c) 54 cm (d) 14 cm
  34. 34.A rectangle is 9 cm long and 7 cm wide. What is its area? (a) 16 sq cm (b) 72 sq cm (c) 32 sq cm (d) 63 sq cm
  35. 35.A rectangle is 10 cm long and 4 cm wide. What is its area? (a) 50 sq cm (b) 40 sq cm (c) 28 sq cm (d) 14 sq cm
  36. 36.A rectangle has an area of 48 sq cm and a length of 16 cm. What is its width? (a) 32 cm (b) 4 cm (c) 3 cm (d) 6 cm
  37. 37.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 25 sq cm (d) 36 sq cm
  38. 38.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 32 sq cm (b) 24 sq cm (c) 40 sq cm (d) 12 sq cm
  39. 39.A rectangle is 12 cm long and 9 cm wide. What is its area? (a) 42 sq cm (b) 120 sq cm (c) 108 sq cm (d) 21 sq cm
  40. 40.A rectangle is 12 cm long and 3 cm wide. What is its perimeter? (a) 36 cm (b) 27 cm (c) 15 cm (d) 30 cm

Answer key

  1. 176 sq cm
  2. 36 cm
  3. 2 cm
  4. 168 sq cm
  5. 36 sq cm
  6. 190 sq cm
  7. 54 cm
  8. 50 cm
  9. 2 cm
  10. 98 sq cm
  11. 39 sq cm
  12. 12 sq cm
  13. 52 cm
  14. 121 sq cm
  15. 42 cm
  16. 18 cm
  17. 3 cm
  18. 11 cm
  19. 209 sq cm
  20. 170 sq cm
  21. 81 sq cm
  22. 144 sq cm
  23. 5 cm
  24. 24 cm
  25. 44 cm
  26. 80 sq cm
  27. 36 sq cm
  28. 30 sq cm
  29. 196 sq cm
  30. 144 sq cm
  31. 64 sq cm
  32. 34 sq cm
  33. 7 cm
  34. 63 sq cm
  35. 40 sq cm
  36. 3 cm
  37. 25 sq cm
  38. 32 sq cm
  39. 108 sq cm
  40. 30 cm

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