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 square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 30 sq cm (c) 225 sq cm (d) 60 sq cm
- 2.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
- 3.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 20 sq cm (c) 100 sq cm (d) 121 sq cm
- 4.A rectangle is 13 cm long and 10 cm wide. What is its area? (a) 143 sq cm (b) 46 sq cm (c) 23 sq cm (d) 130 sq cm
- 5.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
- 6.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 36 sq cm (d) 25 sq cm
- 7.A rectangle is 10 cm long and 6 cm wide. What is its perimeter? (a) 60 cm (b) 16 cm (c) 32 cm (d) 26 cm
- 8.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 11 cm (b) 24 cm (c) 19 cm (d) 22 cm
- 9.A rectangle has an area of 192 sq cm and a length of 16 cm. What is its width? (a) 176 cm (b) 24 cm (c) 13 cm (d) 12 cm
- 10.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
- 11.A square has a perimeter of 28 cm. What is its area? (a) 49 sq cm (b) 14 sq cm (c) 64 sq cm (d) 28 sq cm
- 12.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 14 sq cm (b) 28 sq cm (c) 56 sq cm (d) 48 sq cm
- 13.A rectangle is 20 cm long and 12 cm wide. What is its perimeter? (a) 64 cm (b) 240 cm (c) 32 cm (d) 52 cm
- 14.A rectangle is 12 cm long and 2 cm wide. What is its perimeter? (a) 28 cm (b) 14 cm (c) 24 cm (d) 26 cm
- 15.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 14 sq cm (b) 21 sq cm (c) 18 sq cm (d) 9 sq cm
- 16.A rectangle is 20 cm long and 5 cm wide. What is its perimeter? (a) 45 cm (b) 25 cm (c) 100 cm (d) 50 cm
- 17.A rectangle is 11 cm long and 10 cm wide. What is its area? (a) 21 sq cm (b) 110 sq cm (c) 121 sq cm (d) 42 sq cm
- 18.A rectangle is 10 cm long and 2 cm wide. What is its area? (a) 12 sq cm (b) 30 sq cm (c) 20 sq cm (d) 24 sq cm
- 19.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 12 cm (b) 19 cm (c) 35 cm (d) 24 cm
- 20.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 24 sq cm (c) 36 sq cm (d) 49 sq cm
- 21.A rectangle has an area of 40 sq cm and a length of 8 cm. What is its width? (a) 32 cm (b) 6 cm (c) 10 cm (d) 5 cm
- 22.A rectangle has an area of 54 sq cm and a length of 18 cm. What is its width? (a) 6 cm (b) 3 cm (c) 4 cm (d) 36 cm
- 23.A rectangle has an area of 48 sq cm and a length of 8 cm. What is its width? (a) 40 cm (b) 12 cm (c) 7 cm (d) 6 cm
- 24.A rectangle is 10 cm long and 6 cm wide. What is its area? (a) 70 sq cm (b) 32 sq cm (c) 16 sq cm (d) 60 sq cm
- 25.A rectangle has an area of 105 sq cm and a length of 15 cm. What is its width? (a) 90 cm (b) 8 cm (c) 7 cm (d) 14 cm
- 26.A rectangle is 13 cm long and 6 cm wide. What is its area? (a) 38 sq cm (b) 91 sq cm (c) 78 sq cm (d) 19 sq cm
- 27.A square has a perimeter of 52 cm. What is its area? (a) 26 sq cm (b) 52 sq cm (c) 196 sq cm (d) 169 sq cm
- 28.A rectangle is 20 cm long and 6 cm wide. What is its perimeter? (a) 52 cm (b) 46 cm (c) 26 cm (d) 120 cm
- 29.A rectangle is 18 cm long and 2 cm wide. What is its area? (a) 20 sq cm (b) 36 sq cm (c) 40 sq cm (d) 54 sq cm
- 30.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 18 cm (b) 9 cm (c) 16 cm (d) 14 cm
- 31.A rectangle has an area of 176 sq cm and a length of 16 cm. What is its width? (a) 160 cm (b) 11 cm (c) 12 cm (d) 22 cm
- 32.A rectangle has an area of 143 sq cm and a length of 13 cm. What is its width? (a) 130 cm (b) 12 cm (c) 22 cm (d) 11 cm
- 33.A rectangle is 15 cm long and 7 cm wide. What is its area? (a) 44 sq cm (b) 22 sq cm (c) 105 sq cm (d) 120 sq cm
- 34.A rectangle is 18 cm long and 8 cm wide. What is its perimeter? (a) 26 cm (b) 44 cm (c) 144 cm (d) 52 cm
- 35.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 8 sq cm (c) 12 sq cm (d) 18 sq cm
- 36.A rectangle is 20 cm long and 8 cm wide. What is its area? (a) 160 sq cm (b) 56 sq cm (c) 180 sq cm (d) 28 sq cm
- 37.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 27 sq cm (b) 24 sq cm (c) 12 sq cm (d) 36 sq cm
- 38.A rectangle is 10 cm long and 3 cm wide. What is its perimeter? (a) 23 cm (b) 13 cm (c) 26 cm (d) 30 cm
- 39.A rectangle is 17 cm long and 11 cm wide. What is its perimeter? (a) 56 cm (b) 28 cm (c) 45 cm (d) 187 cm
- 40.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 100 sq cm (c) 36 sq cm (d) 81 sq cm
Answer key
- 225 sq cm
- 42 cm
- 100 sq cm
- 130 sq cm
- 22 cm
- 25 sq cm
- 32 cm
- 22 cm
- 12 cm
- 196 sq cm
- 49 sq cm
- 48 sq cm
- 64 cm
- 28 cm
- 14 sq cm
- 50 cm
- 110 sq cm
- 20 sq cm
- 24 cm
- 36 sq cm
- 5 cm
- 3 cm
- 6 cm
- 60 sq cm
- 7 cm
- 78 sq cm
- 169 sq cm
- 52 cm
- 36 sq cm
- 18 cm
- 11 cm
- 11 cm
- 105 sq cm
- 52 cm
- 12 sq cm
- 160 sq cm
- 27 sq cm
- 26 cm
- 56 cm
- 81 sq cm
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