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 8 cm long and 4 cm wide. What is its perimeter? (a) 12 cm (b) 24 cm (c) 32 cm (d) 20 cm
- 2.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) 5 cm (d) 4 cm
- 3.A rectangle is 18 cm long and 2 cm wide. What is its perimeter? (a) 38 cm (b) 36 cm (c) 20 cm (d) 40 cm
- 4.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 36 sq cm (b) 22 sq cm (c) 11 sq cm (d) 30 sq cm
- 5.A rectangle is 13 cm long and 4 cm wide. What is its perimeter? (a) 30 cm (b) 34 cm (c) 52 cm (d) 17 cm
- 6.A rectangle is 15 cm long and 8 cm wide. What is its perimeter? (a) 38 cm (b) 23 cm (c) 120 cm (d) 46 cm
- 7.A rectangle is 10 cm long and 7 cm wide. What is its perimeter? (a) 70 cm (b) 27 cm (c) 34 cm (d) 17 cm
- 8.A rectangle has an area of 22 sq cm and a length of 11 cm. What is its width? (a) 11 cm (b) 4 cm (c) 2 cm (d) 3 cm
- 9.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 9 sq cm (b) 19 sq cm (c) 18 sq cm (d) 24 sq cm
- 10.A rectangle has an area of 56 sq cm and a length of 14 cm. What is its width? (a) 5 cm (b) 4 cm (c) 8 cm (d) 42 cm
- 11.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 28 cm (b) 22 cm (c) 18 cm (d) 11 cm
- 12.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 18 sq cm (c) 100 sq cm (d) 81 sq cm
- 13.A rectangle has an area of 16 sq cm and a length of 8 cm. What is its width? (a) 8 cm (b) 4 cm (c) 3 cm (d) 2 cm
- 14.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 121 sq cm (c) 20 sq cm (d) 100 sq cm
- 15.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 24 sq cm (c) 49 sq cm (d) 36 sq cm
- 16.A rectangle has an area of 90 sq cm and a length of 18 cm. What is its width? (a) 5 cm (b) 72 cm (c) 6 cm (d) 10 cm
- 17.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 9 sq cm (b) 18 sq cm (c) 14 sq cm (d) 21 sq cm
- 18.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 22 cm (b) 19 cm (c) 11 cm (d) 24 cm
- 19.A rectangle has an area of 171 sq cm and a length of 19 cm. What is its width? (a) 152 cm (b) 9 cm (c) 10 cm (d) 18 cm
- 20.A rectangle is 14 cm long and 7 cm wide. What is its perimeter? (a) 35 cm (b) 42 cm (c) 98 cm (d) 21 cm
- 21.A rectangle is 13 cm long and 8 cm wide. What is its area? (a) 104 sq cm (b) 42 sq cm (c) 21 sq cm (d) 117 sq cm
- 22.A rectangle has an area of 180 sq cm and a length of 15 cm. What is its width? (a) 24 cm (b) 12 cm (c) 165 cm (d) 13 cm
- 23.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 20 sq cm (c) 10 sq cm (d) 24 sq cm
- 24.A rectangle is 12 cm long and 8 cm wide. What is its area? (a) 20 sq cm (b) 108 sq cm (c) 40 sq cm (d) 96 sq cm
- 25.A rectangle is 17 cm long and 9 cm wide. What is its perimeter? (a) 153 cm (b) 52 cm (c) 26 cm (d) 43 cm
- 26.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 25 sq cm (c) 20 sq cm (d) 36 sq cm
- 27.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 12 sq cm (b) 24 sq cm (c) 35 sq cm (d) 42 sq cm
- 28.A rectangle has an area of 143 sq cm and a length of 13 cm. What is its width? (a) 22 cm (b) 11 cm (c) 12 cm (d) 130 cm
- 29.A rectangle is 14 cm long and 4 cm wide. What is its perimeter? (a) 18 cm (b) 36 cm (c) 32 cm (d) 56 cm
- 30.A rectangle has an area of 42 sq cm and a length of 7 cm. What is its width? (a) 7 cm (b) 6 cm (c) 35 cm (d) 12 cm
- 31.A square has a perimeter of 32 cm. What is its area? (a) 64 sq cm (b) 81 sq cm (c) 32 sq cm (d) 16 sq cm
- 32.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 64 sq cm (c) 14 sq cm (d) 49 sq cm
- 33.A square has a perimeter of 48 cm. What is its area? (a) 144 sq cm (b) 169 sq cm (c) 24 sq cm (d) 48 sq cm
- 34.A rectangle is 15 cm long and 3 cm wide. What is its area? (a) 18 sq cm (b) 60 sq cm (c) 36 sq cm (d) 45 sq cm
- 35.A rectangle has an area of 66 sq cm and a length of 11 cm. What is its width? (a) 55 cm (b) 7 cm (c) 6 cm (d) 12 cm
- 36.A rectangle has an area of 21 sq cm and a length of 7 cm. What is its width? (a) 4 cm (b) 6 cm (c) 14 cm (d) 3 cm
- 37.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 30 sq cm (c) 225 sq cm (d) 256 sq cm
- 38.A rectangle is 17 cm long and 12 cm wide. What is its perimeter? (a) 58 cm (b) 46 cm (c) 204 cm (d) 29 cm
- 39.A rectangle is 10 cm long and 2 cm wide. What is its perimeter? (a) 12 cm (b) 24 cm (c) 22 cm (d) 20 cm
- 40.A rectangle is 12 cm long and 6 cm wide. What is its area? (a) 84 sq cm (b) 72 sq cm (c) 18 sq cm (d) 36 sq cm
Answer key
- 24 cm
- 4 cm
- 40 cm
- 30 sq cm
- 34 cm
- 46 cm
- 34 cm
- 2 cm
- 18 sq cm
- 4 cm
- 22 cm
- 81 sq cm
- 2 cm
- 100 sq cm
- 36 sq cm
- 5 cm
- 14 sq cm
- 22 cm
- 9 cm
- 42 cm
- 104 sq cm
- 12 cm
- 16 sq cm
- 96 sq cm
- 52 cm
- 25 sq cm
- 35 sq cm
- 11 cm
- 36 cm
- 6 cm
- 64 sq cm
- 49 sq cm
- 144 sq cm
- 45 sq cm
- 6 cm
- 3 cm
- 225 sq cm
- 58 cm
- 24 cm
- 72 sq cm
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