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 20 cm. What is its area? (a) 20 sq cm (b) 25 sq cm (c) 10 sq cm (d) 36 sq cm
- 2.A rectangle has an area of 204 sq cm and a length of 17 cm. What is its width? (a) 187 cm (b) 12 cm (c) 24 cm (d) 13 cm
- 3.A rectangle is 11 cm long and 5 cm wide. What is its perimeter? (a) 27 cm (b) 55 cm (c) 16 cm (d) 32 cm
- 4.A square has a perimeter of 36 cm. What is its area? (a) 81 sq cm (b) 100 sq cm (c) 36 sq cm (d) 18 sq cm
- 5.A rectangle has an area of 40 sq cm and a length of 8 cm. What is its width? (a) 6 cm (b) 10 cm (c) 5 cm (d) 32 cm
- 6.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
- 7.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 64 sq cm (c) 32 sq cm (d) 16 sq cm
- 8.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 49 sq cm (c) 24 sq cm (d) 36 sq cm
- 9.A rectangle has an area of 21 sq cm and a length of 7 cm. What is its width? (a) 4 cm (b) 14 cm (c) 6 cm (d) 3 cm
- 10.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 45 sq cm (d) 54 sq cm
- 11.A rectangle is 20 cm long and 4 cm wide. What is its area? (a) 48 sq cm (b) 24 sq cm (c) 100 sq cm (d) 80 sq cm
- 12.A rectangle has an area of 198 sq cm and a length of 18 cm. What is its width? (a) 11 cm (b) 22 cm (c) 12 cm (d) 180 cm
- 13.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 24 sq cm (c) 20 sq cm (d) 10 sq cm
- 14.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 15 sq cm (b) 56 sq cm (c) 30 sq cm (d) 64 sq cm
- 15.A rectangle has an area of 80 sq cm and a length of 16 cm. What is its width? (a) 10 cm (b) 6 cm (c) 64 cm (d) 5 cm
- 16.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
- 17.A rectangle is 14 cm long and 10 cm wide. What is its perimeter? (a) 140 cm (b) 38 cm (c) 48 cm (d) 24 cm
- 18.A rectangle has an area of 180 sq cm and a length of 15 cm. What is its width? (a) 13 cm (b) 12 cm (c) 24 cm (d) 165 cm
- 19.A rectangle is 8 cm long and 5 cm wide. What is its area? (a) 40 sq cm (b) 26 sq cm (c) 13 sq cm (d) 48 sq cm
- 20.A rectangle is 14 cm long and 4 cm wide. What is its area? (a) 70 sq cm (b) 18 sq cm (c) 56 sq cm (d) 36 sq cm
- 21.A rectangle is 11 cm long and 6 cm wide. What is its area? (a) 77 sq cm (b) 66 sq cm (c) 34 sq cm (d) 17 sq cm
- 22.A rectangle is 14 cm long and 9 cm wide. What is its area? (a) 23 sq cm (b) 126 sq cm (c) 46 sq cm (d) 140 sq cm
- 23.A rectangle is 20 cm long and 4 cm wide. What is its perimeter? (a) 80 cm (b) 48 cm (c) 44 cm (d) 24 cm
- 24.A rectangle is 16 cm long and 4 cm wide. What is its perimeter? (a) 36 cm (b) 40 cm (c) 20 cm (d) 64 cm
- 25.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 169 sq cm (c) 196 sq cm (d) 26 sq cm
- 26.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 10 cm (b) 21 cm (c) 17 cm (d) 20 cm
- 27.A rectangle has an area of 165 sq cm and a length of 15 cm. What is its width? (a) 11 cm (b) 12 cm (c) 22 cm (d) 150 cm
- 28.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
- 29.A rectangle is 20 cm long and 9 cm wide. What is its area? (a) 180 sq cm (b) 58 sq cm (c) 200 sq cm (d) 29 sq cm
- 30.A rectangle is 20 cm long and 11 cm wide. What is its area? (a) 220 sq cm (b) 31 sq cm (c) 240 sq cm (d) 62 sq cm
- 31.A rectangle is 15 cm long and 7 cm wide. What is its perimeter? (a) 37 cm (b) 105 cm (c) 44 cm (d) 22 cm
- 32.A rectangle is 17 cm long and 7 cm wide. What is its perimeter? (a) 24 cm (b) 119 cm (c) 41 cm (d) 48 cm
- 33.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 49 sq cm (c) 64 sq cm (d) 28 sq cm
- 34.A rectangle has an area of 50 sq cm and a length of 10 cm. What is its width? (a) 10 cm (b) 40 cm (c) 6 cm (d) 5 cm
- 35.A rectangle is 9 cm long and 6 cm wide. What is its area? (a) 63 sq cm (b) 54 sq cm (c) 30 sq cm (d) 15 sq cm
- 36.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 12 sq cm (b) 40 sq cm (c) 32 sq cm (d) 24 sq cm
- 37.A rectangle is 20 cm long and 6 cm wide. What is its area? (a) 52 sq cm (b) 140 sq cm (c) 26 sq cm (d) 120 sq cm
- 38.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 18 sq cm (b) 19 sq cm (c) 9 sq cm (d) 24 sq cm
- 39.A rectangle is 19 cm long and 9 cm wide. What is its perimeter? (a) 171 cm (b) 28 cm (c) 56 cm (d) 47 cm
- 40.A rectangle has an area of 70 sq cm and a length of 14 cm. What is its width? (a) 5 cm (b) 10 cm (c) 6 cm (d) 56 cm
Answer key
- 25 sq cm
- 12 cm
- 32 cm
- 81 sq cm
- 5 cm
- 225 sq cm
- 64 sq cm
- 36 sq cm
- 3 cm
- 45 sq cm
- 80 sq cm
- 11 cm
- 16 sq cm
- 56 sq cm
- 5 cm
- 6 cm
- 48 cm
- 12 cm
- 40 sq cm
- 56 sq cm
- 66 sq cm
- 126 sq cm
- 48 cm
- 40 cm
- 169 sq cm
- 20 cm
- 11 cm
- 168 sq cm
- 180 sq cm
- 220 sq cm
- 44 cm
- 48 cm
- 49 sq cm
- 5 cm
- 54 sq cm
- 32 sq cm
- 120 sq cm
- 18 sq cm
- 56 cm
- 5 cm
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