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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 797 · 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 has an area of 117 sq cm and a length of 13 cm. What is its width? (a) 18 cm (b) 104 cm (c) 10 cm (d) 9 cm
  2. 2.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
  3. 3.A rectangle is 13 cm long and 10 cm wide. What is its area? (a) 23 sq cm (b) 46 sq cm (c) 143 sq cm (d) 130 sq cm
  4. 4.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 11 cm (b) 18 cm (c) 28 cm (d) 22 cm
  5. 5.A rectangle has an area of 112 sq cm and a length of 16 cm. What is its width? (a) 14 cm (b) 96 cm (c) 8 cm (d) 7 cm
  6. 6.A rectangle has an area of 99 sq cm and a length of 11 cm. What is its width? (a) 18 cm (b) 88 cm (c) 9 cm (d) 10 cm
  7. 7.A rectangle has an area of 120 sq cm and a length of 20 cm. What is its width? (a) 12 cm (b) 6 cm (c) 100 cm (d) 7 cm
  8. 8.A rectangle is 10 cm long and 3 cm wide. What is its area? (a) 26 sq cm (b) 30 sq cm (c) 13 sq cm (d) 40 sq cm
  9. 9.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 24 sq cm (b) 20 sq cm (c) 10 sq cm (d) 16 sq cm
  10. 10.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
  11. 11.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 49 sq cm (c) 12 sq cm (d) 36 sq cm
  12. 12.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 121 sq cm (c) 22 sq cm (d) 144 sq cm
  13. 13.A rectangle has an area of 171 sq cm and a length of 19 cm. What is its width? (a) 18 cm (b) 9 cm (c) 10 cm (d) 152 cm
  14. 14.A rectangle is 8 cm long and 7 cm wide. What is its perimeter? (a) 15 cm (b) 30 cm (c) 56 cm (d) 23 cm
  15. 15.A square has a perimeter of 28 cm. What is its area? (a) 49 sq cm (b) 14 sq cm (c) 28 sq cm (d) 64 sq cm
  16. 16.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 19 cm (b) 35 cm (c) 24 cm (d) 12 cm
  17. 17.A rectangle has an area of 84 sq cm and a length of 12 cm. What is its width? (a) 72 cm (b) 8 cm (c) 14 cm (d) 7 cm
  18. 18.A rectangle has an area of 78 sq cm and a length of 13 cm. What is its width? (a) 7 cm (b) 12 cm (c) 6 cm (d) 65 cm
  19. 19.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 22 sq cm (b) 35 sq cm (c) 11 sq cm (d) 28 sq cm
  20. 20.A rectangle is 18 cm long and 6 cm wide. What is its area? (a) 48 sq cm (b) 24 sq cm (c) 108 sq cm (d) 126 sq cm
  21. 21.A rectangle is 16 cm long and 4 cm wide. What is its area? (a) 64 sq cm (b) 20 sq cm (c) 40 sq cm (d) 80 sq cm
  22. 22.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 24 cm (b) 22 cm (c) 11 cm (d) 19 cm
  23. 23.A rectangle has an area of 91 sq cm and a length of 13 cm. What is its width? (a) 14 cm (b) 8 cm (c) 7 cm (d) 78 cm
  24. 24.A rectangle is 11 cm long and 2 cm wide. What is its area? (a) 33 sq cm (b) 22 sq cm (c) 13 sq cm (d) 26 sq cm
  25. 25.A rectangle has an area of 36 sq cm and a length of 18 cm. What is its width? (a) 18 cm (b) 3 cm (c) 2 cm (d) 4 cm
  26. 26.A rectangle is 16 cm long and 8 cm wide. What is its perimeter? (a) 128 cm (b) 40 cm (c) 48 cm (d) 24 cm
  27. 27.A rectangle is 15 cm long and 11 cm wide. What is its area? (a) 165 sq cm (b) 180 sq cm (c) 26 sq cm (d) 52 sq cm
  28. 28.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 196 sq cm (c) 56 sq cm (d) 225 sq cm
  29. 29.A rectangle has an area of 112 sq cm and a length of 14 cm. What is its width? (a) 8 cm (b) 16 cm (c) 98 cm (d) 9 cm
  30. 30.A rectangle is 20 cm long and 12 cm wide. What is its area? (a) 260 sq cm (b) 32 sq cm (c) 240 sq cm (d) 64 sq cm
  31. 31.A rectangle has an area of 144 sq cm and a length of 16 cm. What is its width? (a) 128 cm (b) 18 cm (c) 9 cm (d) 10 cm
  32. 32.A rectangle is 16 cm long and 12 cm wide. What is its area? (a) 208 sq cm (b) 192 sq cm (c) 28 sq cm (d) 56 sq cm
  33. 33.A square has a perimeter of 60 cm. What is its area? (a) 225 sq cm (b) 30 sq cm (c) 256 sq cm (d) 60 sq cm
  34. 34.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 16 sq cm (c) 32 sq cm (d) 64 sq cm
  35. 35.A rectangle is 11 cm long and 5 cm wide. What is its area? (a) 66 sq cm (b) 55 sq cm (c) 16 sq cm (d) 32 sq cm
  36. 36.A rectangle is 16 cm long and 4 cm wide. What is its perimeter? (a) 36 cm (b) 64 cm (c) 40 cm (d) 20 cm
  37. 37.A rectangle is 14 cm long and 10 cm wide. What is its area? (a) 154 sq cm (b) 24 sq cm (c) 140 sq cm (d) 48 sq cm
  38. 38.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 22 sq cm (b) 11 sq cm (c) 36 sq cm (d) 30 sq cm
  39. 39.A rectangle has an area of 120 sq cm and a length of 12 cm. What is its width? (a) 108 cm (b) 20 cm (c) 11 cm (d) 10 cm
  40. 40.A rectangle has an area of 165 sq cm and a length of 15 cm. What is its width? (a) 11 cm (b) 150 cm (c) 22 cm (d) 12 cm

Answer key

  1. 9 cm
  2. 144 sq cm
  3. 130 sq cm
  4. 22 cm
  5. 7 cm
  6. 9 cm
  7. 6 cm
  8. 30 sq cm
  9. 16 sq cm
  10. 100 sq cm
  11. 36 sq cm
  12. 121 sq cm
  13. 9 cm
  14. 30 cm
  15. 49 sq cm
  16. 24 cm
  17. 7 cm
  18. 6 cm
  19. 28 sq cm
  20. 108 sq cm
  21. 64 sq cm
  22. 22 cm
  23. 7 cm
  24. 22 sq cm
  25. 2 cm
  26. 48 cm
  27. 165 sq cm
  28. 196 sq cm
  29. 8 cm
  30. 240 sq cm
  31. 9 cm
  32. 192 sq cm
  33. 225 sq cm
  34. 64 sq cm
  35. 55 sq cm
  36. 40 cm
  37. 140 sq cm
  38. 30 sq cm
  39. 10 cm
  40. 11 cm

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