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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 494 · 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 10 cm wide. What is its area? (a) 26 sq cm (b) 176 sq cm (c) 52 sq cm (d) 160 sq cm
  2. 2.A square has a perimeter of 40 cm. What is its area? (a) 100 sq cm (b) 20 sq cm (c) 121 sq cm (d) 40 sq cm
  3. 3.A rectangle is 16 cm long and 8 cm wide. What is its area? (a) 24 sq cm (b) 128 sq cm (c) 48 sq cm (d) 144 sq cm
  4. 4.A rectangle is 15 cm long and 11 cm wide. What is its area? (a) 26 sq cm (b) 52 sq cm (c) 165 sq cm (d) 180 sq cm
  5. 5.A rectangle has an area of 152 sq cm and a length of 19 cm. What is its width? (a) 9 cm (b) 16 cm (c) 8 cm (d) 133 cm
  6. 6.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 26 sq cm (c) 52 sq cm (d) 169 sq cm
  7. 7.A rectangle has an area of 40 sq cm and a length of 8 cm. What is its width? (a) 6 cm (b) 10 cm (c) 5 cm (d) 32 cm
  8. 8.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 24 sq cm (c) 12 sq cm (d) 36 sq cm
  9. 9.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 64 sq cm (d) 49 sq cm
  10. 10.A rectangle is 14 cm long and 8 cm wide. What is its area? (a) 44 sq cm (b) 126 sq cm (c) 112 sq cm (d) 22 sq cm
  11. 11.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
  12. 12.A rectangle is 13 cm long and 8 cm wide. What is its area? (a) 104 sq cm (b) 117 sq cm (c) 21 sq cm (d) 42 sq cm
  13. 13.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 24 cm (b) 10 cm (c) 20 cm (d) 16 cm
  14. 14.A rectangle has an area of 90 sq cm and a length of 15 cm. What is its width? (a) 75 cm (b) 7 cm (c) 12 cm (d) 6 cm
  15. 15.A rectangle has an area of 176 sq cm and a length of 16 cm. What is its width? (a) 22 cm (b) 12 cm (c) 11 cm (d) 160 cm
  16. 16.A rectangle is 19 cm long and 6 cm wide. What is its area? (a) 114 sq cm (b) 25 sq cm (c) 50 sq cm (d) 133 sq cm
  17. 17.A rectangle is 19 cm long and 10 cm wide. What is its area? (a) 58 sq cm (b) 190 sq cm (c) 209 sq cm (d) 29 sq cm
  18. 18.A square has a perimeter of 44 cm. What is its area? (a) 121 sq cm (b) 22 sq cm (c) 144 sq cm (d) 44 sq cm
  19. 19.A rectangle has an area of 36 sq cm and a length of 12 cm. What is its width? (a) 6 cm (b) 4 cm (c) 3 cm (d) 24 cm
  20. 20.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 11 sq cm (b) 36 sq cm (c) 30 sq cm (d) 22 sq cm
  21. 21.A rectangle is 20 cm long and 10 cm wide. What is its area? (a) 60 sq cm (b) 200 sq cm (c) 30 sq cm (d) 220 sq cm
  22. 22.A rectangle has an area of 48 sq cm and a length of 12 cm. What is its width? (a) 36 cm (b) 5 cm (c) 4 cm (d) 8 cm
  23. 23.A rectangle is 13 cm long and 11 cm wide. What is its area? (a) 156 sq cm (b) 24 sq cm (c) 48 sq cm (d) 143 sq cm
  24. 24.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
  25. 25.A rectangle is 14 cm long and 7 cm wide. What is its perimeter? (a) 42 cm (b) 35 cm (c) 98 cm (d) 21 cm
  26. 26.A rectangle is 19 cm long and 2 cm wide. What is its perimeter? (a) 21 cm (b) 38 cm (c) 42 cm (d) 40 cm
  27. 27.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 24 sq cm (c) 48 sq cm (d) 144 sq cm
  28. 28.A rectangle is 9 cm long and 4 cm wide. What is its perimeter? (a) 22 cm (b) 36 cm (c) 26 cm (d) 13 cm
  29. 29.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 11 cm (b) 18 cm (c) 22 cm (d) 28 cm
  30. 30.A rectangle has an area of 228 sq cm and a length of 19 cm. What is its width? (a) 209 cm (b) 12 cm (c) 13 cm (d) 24 cm
  31. 31.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 45 sq cm (b) 36 sq cm (c) 13 sq cm (d) 26 sq cm
  32. 32.A rectangle is 10 cm long and 3 cm wide. What is its perimeter? (a) 26 cm (b) 13 cm (c) 23 cm (d) 30 cm
  33. 33.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 22 cm (b) 24 cm (c) 11 cm (d) 19 cm
  34. 34.A rectangle is 9 cm long and 7 cm wide. What is its perimeter? (a) 16 cm (b) 63 cm (c) 32 cm (d) 25 cm
  35. 35.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
  36. 36.A rectangle is 17 cm long and 6 cm wide. What is its perimeter? (a) 46 cm (b) 102 cm (c) 23 cm (d) 40 cm
  37. 37.A rectangle has an area of 14 sq cm and a length of 7 cm. What is its width? (a) 2 cm (b) 7 cm (c) 3 cm (d) 4 cm
  38. 38.A rectangle is 19 cm long and 12 cm wide. What is its area? (a) 247 sq cm (b) 62 sq cm (c) 31 sq cm (d) 228 sq cm
  39. 39.A rectangle is 19 cm long and 6 cm wide. What is its perimeter? (a) 114 cm (b) 25 cm (c) 44 cm (d) 50 cm
  40. 40.A rectangle is 15 cm long and 6 cm wide. What is its perimeter? (a) 21 cm (b) 90 cm (c) 36 cm (d) 42 cm

Answer key

  1. 160 sq cm
  2. 100 sq cm
  3. 128 sq cm
  4. 165 sq cm
  5. 8 cm
  6. 169 sq cm
  7. 5 cm
  8. 36 sq cm
  9. 49 sq cm
  10. 112 sq cm
  11. 11 cm
  12. 104 sq cm
  13. 20 cm
  14. 6 cm
  15. 11 cm
  16. 114 sq cm
  17. 190 sq cm
  18. 121 sq cm
  19. 3 cm
  20. 30 sq cm
  21. 200 sq cm
  22. 4 cm
  23. 143 sq cm
  24. 12 sq cm
  25. 42 cm
  26. 42 cm
  27. 144 sq cm
  28. 26 cm
  29. 22 cm
  30. 12 cm
  31. 36 sq cm
  32. 26 cm
  33. 22 cm
  34. 32 cm
  35. 81 sq cm
  36. 46 cm
  37. 2 cm
  38. 228 sq cm
  39. 50 cm
  40. 42 cm

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