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 16 cm long and 11 cm wide. What is its area? (a) 192 sq cm (b) 27 sq cm (c) 176 sq cm (d) 54 sq cm
- 2.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 28 sq cm (c) 49 sq cm (d) 14 sq cm
- 3.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 169 sq cm (c) 26 sq cm (d) 52 sq cm
- 4.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 28 sq cm (c) 56 sq cm (d) 196 sq cm
- 5.A rectangle is 9 cm long and 3 cm wide. What is its perimeter? (a) 21 cm (b) 27 cm (c) 12 cm (d) 24 cm
- 6.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 32 sq cm (c) 11 sq cm (d) 22 sq cm
- 7.A rectangle is 9 cm long and 2 cm wide. What is its perimeter? (a) 20 cm (b) 11 cm (c) 22 cm (d) 18 cm
- 8.A rectangle is 20 cm long and 9 cm wide. What is its perimeter? (a) 49 cm (b) 29 cm (c) 180 cm (d) 58 cm
- 9.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 21 sq cm (b) 18 sq cm (c) 14 sq cm (d) 9 sq cm
- 10.A rectangle is 10 cm long and 3 cm wide. What is its perimeter? (a) 30 cm (b) 23 cm (c) 26 cm (d) 13 cm
- 11.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 121 sq cm (c) 40 sq cm (d) 100 sq cm
- 12.A rectangle is 16 cm long and 10 cm wide. What is its area? (a) 52 sq cm (b) 176 sq cm (c) 26 sq cm (d) 160 sq cm
- 13.A rectangle is 17 cm long and 11 cm wide. What is its perimeter? (a) 28 cm (b) 45 cm (c) 187 cm (d) 56 cm
- 14.A rectangle has an area of 204 sq cm and a length of 17 cm. What is its width? (a) 13 cm (b) 187 cm (c) 24 cm (d) 12 cm
- 15.A rectangle is 15 cm long and 3 cm wide. What is its area? (a) 36 sq cm (b) 45 sq cm (c) 18 sq cm (d) 60 sq cm
- 16.A rectangle is 14 cm long and 12 cm wide. What is its area? (a) 168 sq cm (b) 52 sq cm (c) 26 sq cm (d) 182 sq cm
- 17.A rectangle has an area of 30 sq cm and a length of 15 cm. What is its width? (a) 15 cm (b) 2 cm (c) 3 cm (d) 4 cm
- 18.A rectangle has an area of 48 sq cm and a length of 8 cm. What is its width? (a) 6 cm (b) 12 cm (c) 7 cm (d) 40 cm
- 19.A rectangle has an area of 60 sq cm and a length of 15 cm. What is its width? (a) 45 cm (b) 8 cm (c) 5 cm (d) 4 cm
- 20.A rectangle is 15 cm long and 8 cm wide. What is its area? (a) 46 sq cm (b) 120 sq cm (c) 23 sq cm (d) 135 sq cm
- 21.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 10 sq cm (b) 21 sq cm (c) 20 sq cm (d) 28 sq cm
- 22.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 12 sq cm (b) 18 sq cm (c) 16 sq cm (d) 8 sq cm
- 23.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 25 sq cm (c) 36 sq cm (d) 10 sq cm
- 24.A rectangle has an area of 28 sq cm and a length of 7 cm. What is its width? (a) 8 cm (b) 21 cm (c) 4 cm (d) 5 cm
- 25.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 36 sq cm (c) 12 sq cm (d) 24 sq cm
- 26.A rectangle is 13 cm long and 4 cm wide. What is its area? (a) 34 sq cm (b) 52 sq cm (c) 65 sq cm (d) 17 sq cm
- 27.A rectangle has an area of 80 sq cm and a length of 10 cm. What is its width? (a) 9 cm (b) 8 cm (c) 70 cm (d) 16 cm
- 28.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 64 sq cm (c) 16 sq cm (d) 81 sq cm
- 29.A rectangle is 15 cm long and 8 cm wide. What is its perimeter? (a) 46 cm (b) 120 cm (c) 38 cm (d) 23 cm
- 30.A rectangle has an area of 152 sq cm and a length of 19 cm. What is its width? (a) 16 cm (b) 9 cm (c) 133 cm (d) 8 cm
- 31.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 19 cm (b) 22 cm (c) 24 cm (d) 11 cm
- 32.A rectangle has an area of 198 sq cm and a length of 18 cm. What is its width? (a) 11 cm (b) 12 cm (c) 22 cm (d) 180 cm
- 33.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
- 34.A rectangle has an area of 10 sq cm and a length of 5 cm. What is its width? (a) 4 cm (b) 2 cm (c) 3 cm (d) 5 cm
- 35.A rectangle is 10 cm long and 7 cm wide. What is its perimeter? (a) 27 cm (b) 70 cm (c) 17 cm (d) 34 cm
- 36.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 11 sq cm (b) 18 sq cm (c) 22 sq cm (d) 27 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 has an area of 60 sq cm and a length of 20 cm. What is its width? (a) 3 cm (b) 6 cm (c) 4 cm (d) 40 cm
- 39.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 225 sq cm (c) 30 sq cm (d) 256 sq cm
- 40.A rectangle is 17 cm long and 6 cm wide. What is its area? (a) 46 sq cm (b) 102 sq cm (c) 23 sq cm (d) 119 sq cm
Answer key
- 176 sq cm
- 49 sq cm
- 169 sq cm
- 196 sq cm
- 24 cm
- 24 sq cm
- 22 cm
- 58 cm
- 14 sq cm
- 26 cm
- 100 sq cm
- 160 sq cm
- 56 cm
- 12 cm
- 45 sq cm
- 168 sq cm
- 2 cm
- 6 cm
- 4 cm
- 120 sq cm
- 21 sq cm
- 12 sq cm
- 25 sq cm
- 4 cm
- 36 sq cm
- 52 sq cm
- 8 cm
- 64 sq cm
- 46 cm
- 8 cm
- 22 cm
- 11 cm
- 20 cm
- 2 cm
- 34 cm
- 18 sq cm
- 144 sq cm
- 3 cm
- 225 sq cm
- 102 sq cm
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