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 52 cm. What is its area? (a) 196 sq cm (b) 52 sq cm (c) 26 sq cm (d) 169 sq cm
- 2.A rectangle is 13 cm long and 5 cm wide. What is its area? (a) 18 sq cm (b) 78 sq cm (c) 36 sq cm (d) 65 sq cm
- 3.A rectangle is 17 cm long and 5 cm wide. What is its area? (a) 85 sq cm (b) 22 sq cm (c) 102 sq cm (d) 44 sq cm
- 4.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 22 sq cm (c) 32 sq cm (d) 11 sq cm
- 5.A rectangle is 12 cm long and 2 cm wide. What is its area? (a) 14 sq cm (b) 28 sq cm (c) 36 sq cm (d) 24 sq cm
- 6.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) 9 cm (d) 10 cm
- 7.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 56 sq cm (c) 225 sq cm (d) 196 sq cm
- 8.A rectangle has an area of 136 sq cm and a length of 17 cm. What is its width? (a) 9 cm (b) 119 cm (c) 8 cm (d) 16 cm
- 9.A rectangle has an area of 27 sq cm and a length of 9 cm. What is its width? (a) 4 cm (b) 3 cm (c) 18 cm (d) 6 cm
- 10.A rectangle is 8 cm long and 5 cm wide. What is its area? (a) 40 sq cm (b) 13 sq cm (c) 26 sq cm (d) 48 sq cm
- 11.A rectangle is 17 cm long and 2 cm wide. What is its perimeter? (a) 34 cm (b) 36 cm (c) 19 cm (d) 38 cm
- 12.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 24 sq cm (b) 30 sq cm (c) 20 sq cm (d) 10 sq cm
- 13.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 64 sq cm (c) 49 sq cm (d) 14 sq cm
- 14.A rectangle has an area of 32 sq cm and a length of 8 cm. What is its width? (a) 24 cm (b) 8 cm (c) 5 cm (d) 4 cm
- 15.A square has a perimeter of 36 cm. What is its area? (a) 81 sq cm (b) 36 sq cm (c) 18 sq cm (d) 100 sq cm
- 16.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 12 sq cm (b) 32 sq cm (c) 40 sq cm (d) 24 sq cm
- 17.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
- 18.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 20 sq cm (c) 100 sq cm (d) 40 sq cm
- 19.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 8 sq cm (b) 16 sq cm (c) 18 sq cm (d) 12 sq cm
- 20.A rectangle is 20 cm long and 5 cm wide. What is its perimeter? (a) 50 cm (b) 45 cm (c) 25 cm (d) 100 cm
- 21.A square has a perimeter of 44 cm. What is its area? (a) 121 sq cm (b) 144 sq cm (c) 44 sq cm (d) 22 sq cm
- 22.A rectangle has an area of 156 sq cm and a length of 13 cm. What is its width? (a) 13 cm (b) 12 cm (c) 143 cm (d) 24 cm
- 23.A rectangle is 9 cm long and 7 cm wide. What is its perimeter? (a) 16 cm (b) 25 cm (c) 63 cm (d) 32 cm
- 24.A rectangle is 10 cm long and 9 cm wide. What is its perimeter? (a) 90 cm (b) 19 cm (c) 29 cm (d) 38 cm
- 25.A rectangle has an area of 51 sq cm and a length of 17 cm. What is its width? (a) 6 cm (b) 3 cm (c) 4 cm (d) 34 cm
- 26.A rectangle has an area of 120 sq cm and a length of 15 cm. What is its width? (a) 8 cm (b) 9 cm (c) 105 cm (d) 16 cm
- 27.A rectangle is 17 cm long and 3 cm wide. What is its area? (a) 20 sq cm (b) 68 sq cm (c) 51 sq cm (d) 40 sq cm
- 28.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
- 29.A rectangle has an area of 26 sq cm and a length of 13 cm. What is its width? (a) 3 cm (b) 13 cm (c) 2 cm (d) 4 cm
- 30.A rectangle is 17 cm long and 11 cm wide. What is its perimeter? (a) 45 cm (b) 28 cm (c) 187 cm (d) 56 cm
- 31.A rectangle is 13 cm long and 7 cm wide. What is its area? (a) 91 sq cm (b) 20 sq cm (c) 40 sq cm (d) 104 sq cm
- 32.A rectangle is 14 cm long and 4 cm wide. What is its area? (a) 36 sq cm (b) 70 sq cm (c) 18 sq cm (d) 56 sq cm
- 33.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 49 sq cm (b) 13 sq cm (c) 42 sq cm (d) 26 sq cm
- 34.A rectangle is 19 cm long and 10 cm wide. What is its perimeter? (a) 29 cm (b) 190 cm (c) 58 cm (d) 48 cm
- 35.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 30 sq cm (c) 60 sq cm (d) 225 sq cm
- 36.A rectangle has an area of 54 sq cm and a length of 18 cm. What is its width? (a) 3 cm (b) 4 cm (c) 36 cm (d) 6 cm
- 37.A rectangle is 8 cm long and 4 cm wide. What is its perimeter? (a) 20 cm (b) 24 cm (c) 12 cm (d) 32 cm
- 38.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 45 sq cm (b) 13 sq cm (c) 26 sq cm (d) 36 sq cm
- 39.A square has a perimeter of 24 cm. What is its area? (a) 36 sq cm (b) 49 sq cm (c) 12 sq cm (d) 24 sq cm
- 40.A rectangle has an area of 126 sq cm and a length of 14 cm. What is its width? (a) 112 cm (b) 18 cm (c) 10 cm (d) 9 cm
Answer key
- 169 sq cm
- 65 sq cm
- 85 sq cm
- 24 sq cm
- 24 sq cm
- 9 cm
- 196 sq cm
- 8 cm
- 3 cm
- 40 sq cm
- 38 cm
- 24 sq cm
- 49 sq cm
- 4 cm
- 81 sq cm
- 32 sq cm
- 68 sq cm
- 100 sq cm
- 12 sq cm
- 50 cm
- 121 sq cm
- 12 cm
- 32 cm
- 38 cm
- 3 cm
- 8 cm
- 51 sq cm
- 25 sq cm
- 2 cm
- 56 cm
- 91 sq cm
- 56 sq cm
- 42 sq cm
- 58 cm
- 225 sq cm
- 3 cm
- 24 cm
- 36 sq cm
- 36 sq cm
- 9 cm
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