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.
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- 1.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 9 cm (b) 19 cm (c) 15 cm (d) 18 cm
- 2.A square has a perimeter of 52 cm. What is its area? (a) 169 sq cm (b) 196 sq cm (c) 26 sq cm (d) 52 sq cm
- 3.A rectangle has an area of 18 sq cm and a length of 9 cm. What is its width? (a) 2 cm (b) 4 cm (c) 9 cm (d) 3 cm
- 4.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 36 sq cm (c) 27 sq cm (d) 12 sq cm
- 5.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
- 6.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 20 sq cm (c) 25 sq cm (d) 36 sq cm
- 7.A rectangle is 15 cm long and 4 cm wide. What is its area? (a) 19 sq cm (b) 38 sq cm (c) 60 sq cm (d) 75 sq cm
- 8.A rectangle is 18 cm long and 4 cm wide. What is its area? (a) 44 sq cm (b) 90 sq cm (c) 22 sq cm (d) 72 sq cm
- 9.A rectangle has an area of 55 sq cm and a length of 11 cm. What is its width? (a) 10 cm (b) 5 cm (c) 44 cm (d) 6 cm
- 10.A rectangle has an area of 180 sq cm and a length of 15 cm. What is its width? (a) 13 cm (b) 165 cm (c) 24 cm (d) 12 cm
- 11.A rectangle is 9 cm long and 7 cm wide. What is its perimeter? (a) 25 cm (b) 32 cm (c) 16 cm (d) 63 cm
- 12.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 54 sq cm (b) 45 sq cm (c) 14 sq cm (d) 28 sq cm
- 13.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 16 sq cm (c) 64 sq cm (d) 81 sq cm
- 14.A rectangle has an area of 72 sq cm and a length of 18 cm. What is its width? (a) 8 cm (b) 4 cm (c) 54 cm (d) 5 cm
- 15.A rectangle is 9 cm long and 6 cm wide. What is its area? (a) 54 sq cm (b) 63 sq cm (c) 15 sq cm (d) 30 sq cm
- 16.A rectangle is 17 cm long and 10 cm wide. What is its area? (a) 170 sq cm (b) 54 sq cm (c) 187 sq cm (d) 27 sq cm
- 17.A rectangle has an area of 56 sq cm and a length of 8 cm. What is its width? (a) 8 cm (b) 14 cm (c) 7 cm (d) 48 cm
- 18.A rectangle is 18 cm long and 2 cm wide. What is its perimeter? (a) 36 cm (b) 38 cm (c) 20 cm (d) 40 cm
- 19.A rectangle is 15 cm long and 12 cm wide. What is its area? (a) 180 sq cm (b) 195 sq cm (c) 27 sq cm (d) 54 sq cm
- 20.A rectangle is 13 cm long and 5 cm wide. What is its area? (a) 36 sq cm (b) 18 sq cm (c) 78 sq cm (d) 65 sq cm
- 21.A rectangle is 8 cm long and 7 cm wide. What is its perimeter? (a) 56 cm (b) 23 cm (c) 15 cm (d) 30 cm
- 22.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 22 cm (b) 11 cm (c) 17 cm (d) 30 cm
- 23.A rectangle is 18 cm long and 3 cm wide. What is its area? (a) 54 sq cm (b) 42 sq cm (c) 72 sq cm (d) 21 sq cm
- 24.A rectangle is 11 cm long and 9 cm wide. What is its perimeter? (a) 20 cm (b) 99 cm (c) 31 cm (d) 40 cm
- 25.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 49 sq cm (c) 28 sq cm (d) 64 sq cm
- 26.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 9 sq cm (b) 24 sq cm (c) 19 sq cm (d) 18 sq cm
- 27.A square has a perimeter of 40 cm. What is its area? (a) 100 sq cm (b) 40 sq cm (c) 121 sq cm (d) 20 sq cm
- 28.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 22 cm (b) 24 cm (c) 19 cm (d) 11 cm
- 29.A rectangle is 12 cm long and 2 cm wide. What is its area? (a) 36 sq cm (b) 24 sq cm (c) 14 sq cm (d) 28 sq cm
- 30.A rectangle is 12 cm long and 10 cm wide. What is its area? (a) 44 sq cm (b) 22 sq cm (c) 120 sq cm (d) 132 sq cm
- 31.A rectangle is 8 cm long and 6 cm wide. What is its perimeter? (a) 28 cm (b) 48 cm (c) 22 cm (d) 14 cm
- 32.A rectangle is 9 cm long and 8 cm wide. What is its area? (a) 17 sq cm (b) 81 sq cm (c) 72 sq cm (d) 34 sq cm
- 33.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 20 cm (b) 10 cm (c) 24 cm (d) 16 cm
- 34.A rectangle is 12 cm long and 8 cm wide. What is its perimeter? (a) 96 cm (b) 20 cm (c) 32 cm (d) 40 cm
- 35.A rectangle is 12 cm long and 4 cm wide. What is its area? (a) 48 sq cm (b) 60 sq cm (c) 32 sq cm (d) 16 sq cm
- 36.A rectangle is 12 cm long and 11 cm wide. What is its area? (a) 23 sq cm (b) 132 sq cm (c) 144 sq cm (d) 46 sq cm
- 37.A rectangle has an area of 63 sq cm and a length of 9 cm. What is its width? (a) 54 cm (b) 8 cm (c) 14 cm (d) 7 cm
- 38.A rectangle has an area of 110 sq cm and a length of 11 cm. What is its width? (a) 99 cm (b) 20 cm (c) 10 cm (d) 11 cm
- 39.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 60 sq cm (c) 225 sq cm (d) 30 sq cm
- 40.A rectangle is 8 cm long and 4 cm wide. What is its perimeter? (a) 12 cm (b) 20 cm (c) 24 cm (d) 32 cm
Answer key
- 18 cm
- 169 sq cm
- 2 cm
- 27 sq cm
- 198 sq cm
- 25 sq cm
- 60 sq cm
- 72 sq cm
- 5 cm
- 12 cm
- 32 cm
- 45 sq cm
- 64 sq cm
- 4 cm
- 54 sq cm
- 170 sq cm
- 7 cm
- 40 cm
- 180 sq cm
- 65 sq cm
- 30 cm
- 22 cm
- 54 sq cm
- 40 cm
- 49 sq cm
- 18 sq cm
- 100 sq cm
- 22 cm
- 24 sq cm
- 120 sq cm
- 28 cm
- 72 sq cm
- 20 cm
- 40 cm
- 48 sq cm
- 132 sq cm
- 7 cm
- 10 cm
- 225 sq cm
- 24 cm
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