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 40 cm. What is its area? (a) 121 sq cm (b) 20 sq cm (c) 40 sq cm (d) 100 sq cm
- 2.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 22 sq cm (c) 144 sq cm (d) 121 sq cm
- 3.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 36 sq cm (c) 24 sq cm (d) 12 sq cm
- 4.A rectangle is 18 cm long and 4 cm wide. What is its perimeter? (a) 22 cm (b) 44 cm (c) 72 cm (d) 40 cm
- 5.A rectangle is 19 cm long and 2 cm wide. What is its perimeter? (a) 40 cm (b) 21 cm (c) 38 cm (d) 42 cm
- 6.A rectangle has an area of 38 sq cm and a length of 19 cm. What is its width? (a) 4 cm (b) 19 cm (c) 3 cm (d) 2 cm
- 7.A rectangle is 15 cm long and 12 cm wide. What is its area? (a) 54 sq cm (b) 27 sq cm (c) 195 sq cm (d) 180 sq cm
- 8.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
- 9.A rectangle is 8 cm long and 6 cm wide. What is its perimeter? (a) 28 cm (b) 22 cm (c) 48 cm (d) 14 cm
- 10.A rectangle has an area of 132 sq cm and a length of 12 cm. What is its width? (a) 120 cm (b) 22 cm (c) 12 cm (d) 11 cm
- 11.A rectangle has an area of 200 sq cm and a length of 20 cm. What is its width? (a) 11 cm (b) 20 cm (c) 10 cm (d) 180 cm
- 12.A rectangle is 11 cm long and 4 cm wide. What is its perimeter? (a) 15 cm (b) 26 cm (c) 44 cm (d) 30 cm
- 13.A rectangle has an area of 27 sq cm and a length of 9 cm. What is its width? (a) 4 cm (b) 6 cm (c) 3 cm (d) 18 cm
- 14.A rectangle is 19 cm long and 6 cm wide. What is its perimeter? (a) 50 cm (b) 114 cm (c) 25 cm (d) 44 cm
- 15.A rectangle is 15 cm long and 4 cm wide. What is its perimeter? (a) 34 cm (b) 60 cm (c) 38 cm (d) 19 cm
- 16.A rectangle is 9 cm long and 7 cm wide. What is its perimeter? (a) 25 cm (b) 63 cm (c) 32 cm (d) 16 cm
- 17.A rectangle is 20 cm long and 8 cm wide. What is its perimeter? (a) 56 cm (b) 48 cm (c) 160 cm (d) 28 cm
- 18.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 20 cm (b) 26 cm (c) 42 cm (d) 13 cm
- 19.A rectangle has an area of 14 sq cm and a length of 7 cm. What is its width? (a) 7 cm (b) 2 cm (c) 4 cm (d) 3 cm
- 20.A rectangle has an area of 153 sq cm and a length of 17 cm. What is its width? (a) 9 cm (b) 136 cm (c) 10 cm (d) 18 cm
- 21.A rectangle is 11 cm long and 10 cm wide. What is its perimeter? (a) 32 cm (b) 42 cm (c) 110 cm (d) 21 cm
- 22.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 15 cm (b) 19 cm (c) 18 cm (d) 9 cm
- 23.A rectangle is 17 cm long and 4 cm wide. What is its area? (a) 85 sq cm (b) 21 sq cm (c) 68 sq cm (d) 42 sq cm
- 24.A rectangle has an area of 144 sq cm and a length of 16 cm. What is its width? (a) 10 cm (b) 18 cm (c) 128 cm (d) 9 cm
- 25.A rectangle is 13 cm long and 10 cm wide. What is its area? (a) 23 sq cm (b) 46 sq cm (c) 143 sq cm (d) 130 sq cm
- 26.A rectangle is 18 cm long and 3 cm wide. What is its area? (a) 42 sq cm (b) 21 sq cm (c) 72 sq cm (d) 54 sq cm
- 27.A rectangle has an area of 48 sq cm and a length of 12 cm. What is its width? (a) 8 cm (b) 36 cm (c) 5 cm (d) 4 cm
- 28.A rectangle is 19 cm long and 8 cm wide. What is its perimeter? (a) 152 cm (b) 54 cm (c) 46 cm (d) 27 cm
- 29.A rectangle has an area of 130 sq cm and a length of 13 cm. What is its width? (a) 10 cm (b) 117 cm (c) 11 cm (d) 20 cm
- 30.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 81 sq cm (c) 36 sq cm (d) 18 sq cm
- 31.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 16 sq cm (c) 32 sq cm (d) 64 sq cm
- 32.A rectangle is 12 cm long and 7 cm wide. What is its perimeter? (a) 31 cm (b) 38 cm (c) 19 cm (d) 84 cm
- 33.A rectangle is 15 cm long and 10 cm wide. What is its area? (a) 165 sq cm (b) 25 sq cm (c) 50 sq cm (d) 150 sq cm
- 34.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 11 sq cm (b) 22 sq cm (c) 32 sq cm (d) 24 sq cm
- 35.A rectangle is 10 cm long and 6 cm wide. What is its area? (a) 70 sq cm (b) 16 sq cm (c) 32 sq cm (d) 60 sq cm
- 36.A rectangle is 18 cm long and 2 cm wide. What is its perimeter? (a) 38 cm (b) 20 cm (c) 40 cm (d) 36 cm
- 37.A rectangle is 20 cm long and 10 cm wide. What is its perimeter? (a) 50 cm (b) 30 cm (c) 60 cm (d) 200 cm
- 38.A rectangle has an area of 168 sq cm and a length of 14 cm. What is its width? (a) 154 cm (b) 24 cm (c) 13 cm (d) 12 cm
- 39.A rectangle has an area of 108 sq cm and a length of 12 cm. What is its width? (a) 18 cm (b) 96 cm (c) 9 cm (d) 10 cm
- 40.A rectangle is 15 cm long and 3 cm wide. What is its perimeter? (a) 45 cm (b) 18 cm (c) 33 cm (d) 36 cm
Answer key
- 100 sq cm
- 121 sq cm
- 36 sq cm
- 44 cm
- 42 cm
- 2 cm
- 180 sq cm
- 225 sq cm
- 28 cm
- 11 cm
- 10 cm
- 30 cm
- 3 cm
- 50 cm
- 38 cm
- 32 cm
- 56 cm
- 26 cm
- 2 cm
- 9 cm
- 42 cm
- 18 cm
- 68 sq cm
- 9 cm
- 130 sq cm
- 54 sq cm
- 4 cm
- 54 cm
- 10 cm
- 81 sq cm
- 64 sq cm
- 38 cm
- 150 sq cm
- 24 sq cm
- 60 sq cm
- 40 cm
- 60 cm
- 12 cm
- 9 cm
- 36 cm
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