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) 60 sq cm (b) 30 sq cm (c) 256 sq cm (d) 225 sq cm
- 2.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 10 sq cm (c) 20 sq cm (d) 25 sq cm
- 3.A rectangle is 9 cm long and 2 cm wide. What is its perimeter? (a) 20 cm (b) 18 cm (c) 22 cm (d) 11 cm
- 4.A rectangle has an area of 48 sq cm and a length of 8 cm. What is its width? (a) 40 cm (b) 6 cm (c) 7 cm (d) 12 cm
- 5.A rectangle is 15 cm long and 12 cm wide. What is its perimeter? (a) 54 cm (b) 180 cm (c) 27 cm (d) 42 cm
- 6.A square has a perimeter of 48 cm. What is its area? (a) 144 sq cm (b) 24 sq cm (c) 48 sq cm (d) 169 sq cm
- 7.A rectangle is 18 cm long and 11 cm wide. What is its area? (a) 216 sq cm (b) 29 sq cm (c) 198 sq cm (d) 58 sq cm
- 8.A rectangle is 15 cm long and 5 cm wide. What is its area? (a) 75 sq cm (b) 40 sq cm (c) 90 sq cm (d) 20 sq cm
- 9.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 10 sq cm (b) 20 sq cm (c) 28 sq cm (d) 21 sq cm
- 10.A rectangle is 13 cm long and 9 cm wide. What is its area? (a) 22 sq cm (b) 117 sq cm (c) 130 sq cm (d) 44 sq cm
- 11.A rectangle has an area of 20 sq cm and a length of 10 cm. What is its width? (a) 10 cm (b) 4 cm (c) 3 cm (d) 2 cm
- 12.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 12 sq cm (b) 27 sq cm (c) 36 sq cm (d) 24 sq cm
- 13.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 196 sq cm (c) 28 sq cm (d) 225 sq cm
- 14.A rectangle has an area of 98 sq cm and a length of 14 cm. What is its width? (a) 8 cm (b) 14 cm (c) 7 cm (d) 84 cm
- 15.A rectangle has an area of 119 sq cm and a length of 17 cm. What is its width? (a) 102 cm (b) 7 cm (c) 8 cm (d) 14 cm
- 16.A rectangle is 12 cm long and 5 cm wide. What is its area? (a) 72 sq cm (b) 17 sq cm (c) 34 sq cm (d) 60 sq cm
- 17.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 30 cm (b) 17 cm (c) 22 cm (d) 11 cm
- 18.A rectangle is 15 cm long and 3 cm wide. What is its area? (a) 18 sq cm (b) 45 sq cm (c) 36 sq cm (d) 60 sq cm
- 19.A rectangle is 13 cm long and 7 cm wide. What is its area? (a) 20 sq cm (b) 91 sq cm (c) 104 sq cm (d) 40 sq cm
- 20.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) 5 cm (d) 64 cm
- 21.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 28 sq cm (c) 64 sq cm (d) 49 sq cm
- 22.A rectangle is 14 cm long and 11 cm wide. What is its area? (a) 50 sq cm (b) 25 sq cm (c) 168 sq cm (d) 154 sq cm
- 23.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 18 sq cm (c) 81 sq cm (d) 36 sq cm
- 24.A rectangle is 20 cm long and 7 cm wide. What is its perimeter? (a) 47 cm (b) 27 cm (c) 54 cm (d) 140 cm
- 25.A rectangle is 9 cm long and 6 cm wide. What is its area? (a) 54 sq cm (b) 15 sq cm (c) 63 sq cm (d) 30 sq cm
- 26.A rectangle is 19 cm long and 2 cm wide. What is its perimeter? (a) 40 cm (b) 38 cm (c) 42 cm (d) 21 cm
- 27.A rectangle is 18 cm long and 11 cm wide. What is its perimeter? (a) 29 cm (b) 47 cm (c) 58 cm (d) 198 cm
- 28.A rectangle is 12 cm long and 11 cm wide. What is its area? (a) 23 sq cm (b) 46 sq cm (c) 132 sq cm (d) 144 sq cm
- 29.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 18 sq cm (c) 9 sq cm (d) 19 sq cm
- 30.A rectangle is 13 cm long and 12 cm wide. What is its area? (a) 169 sq cm (b) 25 sq cm (c) 156 sq cm (d) 50 sq cm
- 31.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 44 sq cm (c) 121 sq cm (d) 22 sq cm
- 32.A rectangle is 15 cm long and 2 cm wide. What is its perimeter? (a) 32 cm (b) 30 cm (c) 17 cm (d) 34 cm
- 33.A rectangle has an area of 204 sq cm and a length of 17 cm. What is its width? (a) 13 cm (b) 24 cm (c) 187 cm (d) 12 cm
- 34.A rectangle has an area of 60 sq cm and a length of 12 cm. What is its width? (a) 5 cm (b) 10 cm (c) 48 cm (d) 6 cm
- 35.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 12 sq cm (c) 24 sq cm (d) 36 sq cm
- 36.A rectangle has an area of 240 sq cm and a length of 20 cm. What is its width? (a) 12 cm (b) 13 cm (c) 220 cm (d) 24 cm
- 37.A rectangle is 12 cm long and 4 cm wide. What is its perimeter? (a) 28 cm (b) 48 cm (c) 32 cm (d) 16 cm
- 38.A square has a perimeter of 52 cm. What is its area? (a) 26 sq cm (b) 169 sq cm (c) 52 sq cm (d) 196 sq cm
- 39.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
- 40.A rectangle is 13 cm long and 8 cm wide. What is its perimeter? (a) 104 cm (b) 34 cm (c) 21 cm (d) 42 cm
Answer key
- 225 sq cm
- 25 sq cm
- 22 cm
- 6 cm
- 54 cm
- 144 sq cm
- 198 sq cm
- 75 sq cm
- 21 sq cm
- 117 sq cm
- 2 cm
- 27 sq cm
- 196 sq cm
- 7 cm
- 7 cm
- 60 sq cm
- 22 cm
- 45 sq cm
- 91 sq cm
- 5 cm
- 49 sq cm
- 154 sq cm
- 81 sq cm
- 54 cm
- 54 sq cm
- 42 cm
- 58 cm
- 132 sq cm
- 18 sq cm
- 156 sq cm
- 121 sq cm
- 34 cm
- 12 cm
- 5 cm
- 36 sq cm
- 12 cm
- 32 cm
- 169 sq cm
- 100 sq cm
- 42 cm
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