Perimeter and Area Worksheet for Maths Olympiad
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.A rectangle is 16 cm long and 2 cm wide. What is its perimeter? (a) 32 cm (b) 18 cm (c) 36 cm (d) 34 cm
- 2.A rectangle has an area of 156 sq cm and a length of 13 cm. What is its width? (a) 24 cm (b) 12 cm (c) 13 cm (d) 143 cm
- 3.A rectangle has an area of 180 sq cm and a length of 15 cm. What is its width? (a) 24 cm (b) 12 cm (c) 13 cm (d) 165 cm
- 4.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 36 sq cm (c) 12 sq cm (d) 49 sq cm
- 5.A rectangle is 13 cm long and 10 cm wide. What is its perimeter? (a) 130 cm (b) 23 cm (c) 36 cm (d) 46 cm
- 6.A rectangle has an area of 198 sq cm and a length of 18 cm. What is its width? (a) 22 cm (b) 180 cm (c) 12 cm (d) 11 cm
- 7.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 22 sq cm (c) 121 sq cm (d) 44 sq cm
- 8.A rectangle has an area of 136 sq cm and a length of 17 cm. What is its width? (a) 16 cm (b) 8 cm (c) 119 cm (d) 9 cm
- 9.A rectangle has an area of 135 sq cm and a length of 15 cm. What is its width? (a) 9 cm (b) 120 cm (c) 18 cm (d) 10 cm
- 10.A rectangle is 19 cm long and 5 cm wide. What is its perimeter? (a) 95 cm (b) 24 cm (c) 48 cm (d) 43 cm
- 11.A rectangle is 17 cm long and 10 cm wide. What is its area? (a) 170 sq cm (b) 54 sq cm (c) 27 sq cm (d) 187 sq cm
- 12.A rectangle is 16 cm long and 6 cm wide. What is its perimeter? (a) 38 cm (b) 96 cm (c) 22 cm (d) 44 cm
- 13.A rectangle is 14 cm long and 4 cm wide. What is its perimeter? (a) 18 cm (b) 36 cm (c) 56 cm (d) 32 cm
- 14.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 22 sq cm (c) 27 sq cm (d) 11 sq cm
- 15.A rectangle is 18 cm long and 9 cm wide. What is its perimeter? (a) 45 cm (b) 54 cm (c) 27 cm (d) 162 cm
- 16.A rectangle has an area of 27 sq cm and a length of 9 cm. What is its width? (a) 4 cm (b) 18 cm (c) 3 cm (d) 6 cm
- 17.A square has a perimeter of 60 cm. What is its area? (a) 225 sq cm (b) 60 sq cm (c) 30 sq cm (d) 256 sq cm
- 18.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 36 sq cm (c) 81 sq cm (d) 18 sq cm
- 19.A rectangle is 20 cm long and 11 cm wide. What is its perimeter? (a) 220 cm (b) 31 cm (c) 51 cm (d) 62 cm
- 20.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 35 sq cm (b) 11 sq cm (c) 22 sq cm (d) 28 sq cm
- 21.A rectangle is 14 cm long and 7 cm wide. What is its area? (a) 98 sq cm (b) 42 sq cm (c) 112 sq cm (d) 21 sq cm
- 22.A rectangle is 19 cm long and 2 cm wide. What is its area? (a) 57 sq cm (b) 42 sq cm (c) 38 sq cm (d) 21 sq cm
- 23.A rectangle is 19 cm long and 12 cm wide. What is its area? (a) 31 sq cm (b) 247 sq cm (c) 228 sq cm (d) 62 sq cm
- 24.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
- 25.A rectangle has an area of 6 sq cm and a length of 3 cm. What is its width? (a) 3 cm (b) 2 cm (c) 4 cm (d) 1 cm
- 26.A rectangle is 19 cm long and 9 cm wide. What is its area? (a) 56 sq cm (b) 190 sq cm (c) 28 sq cm (d) 171 sq cm
- 27.A rectangle is 13 cm long and 5 cm wide. What is its perimeter? (a) 36 cm (b) 18 cm (c) 31 cm (d) 65 cm
- 28.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 36 sq cm (c) 10 sq cm (d) 20 sq cm
- 29.A rectangle is 17 cm long and 4 cm wide. What is its perimeter? (a) 21 cm (b) 68 cm (c) 38 cm (d) 42 cm
- 30.A rectangle has an area of 90 sq cm and a length of 10 cm. What is its width? (a) 80 cm (b) 18 cm (c) 10 cm (d) 9 cm
- 31.A rectangle is 11 cm long and 8 cm wide. What is its area? (a) 88 sq cm (b) 99 sq cm (c) 38 sq cm (d) 19 sq cm
- 32.A rectangle has an area of 216 sq cm and a length of 18 cm. What is its width? (a) 24 cm (b) 13 cm (c) 198 cm (d) 12 cm
- 33.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 225 sq cm (c) 196 sq cm (d) 56 sq cm
- 34.A rectangle is 14 cm long and 12 cm wide. What is its perimeter? (a) 40 cm (b) 26 cm (c) 168 cm (d) 52 cm
- 35.A rectangle has an area of 44 sq cm and a length of 11 cm. What is its width? (a) 5 cm (b) 8 cm (c) 33 cm (d) 4 cm
- 36.A rectangle is 16 cm long and 11 cm wide. What is its area? (a) 54 sq cm (b) 27 sq cm (c) 176 sq cm (d) 192 sq cm
- 37.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 48 sq cm (c) 24 sq cm (d) 144 sq cm
- 38.A rectangle is 17 cm long and 4 cm wide. What is its area? (a) 42 sq cm (b) 68 sq cm (c) 21 sq cm (d) 85 sq cm
- 39.A rectangle is 18 cm long and 11 cm wide. What is its area? (a) 216 sq cm (b) 198 sq cm (c) 58 sq cm (d) 29 sq cm
- 40.A rectangle has an area of 84 sq cm and a length of 14 cm. What is its width? (a) 7 cm (b) 6 cm (c) 12 cm (d) 70 cm
Answer key
- 36 cm
- 12 cm
- 12 cm
- 36 sq cm
- 46 cm
- 11 cm
- 121 sq cm
- 8 cm
- 9 cm
- 48 cm
- 170 sq cm
- 44 cm
- 36 cm
- 18 sq cm
- 54 cm
- 3 cm
- 225 sq cm
- 81 sq cm
- 62 cm
- 28 sq cm
- 98 sq cm
- 38 sq cm
- 228 sq cm
- 30 cm
- 2 cm
- 171 sq cm
- 36 cm
- 25 sq cm
- 42 cm
- 9 cm
- 88 sq cm
- 12 cm
- 196 sq cm
- 52 cm
- 4 cm
- 176 sq cm
- 144 sq cm
- 68 sq cm
- 198 sq cm
- 6 cm
Free maths olympiad lessons, practice and worksheets at talentjr.in/maths-olympiad