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 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
- 2.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 8 cm (b) 16 cm (c) 12 cm (d) 14 cm
- 3.A rectangle has an area of 30 sq cm and a length of 10 cm. What is its width? (a) 3 cm (b) 4 cm (c) 20 cm (d) 6 cm
- 4.A rectangle is 11 cm long and 9 cm wide. What is its perimeter? (a) 99 cm (b) 20 cm (c) 31 cm (d) 40 cm
- 5.A rectangle is 11 cm long and 9 cm wide. What is its area? (a) 40 sq cm (b) 110 sq cm (c) 99 sq cm (d) 20 sq cm
- 6.A rectangle is 8 cm long and 7 cm wide. What is its perimeter? (a) 23 cm (b) 15 cm (c) 30 cm (d) 56 cm
- 7.A square has a perimeter of 36 cm. What is its area? (a) 81 sq cm (b) 18 sq cm (c) 100 sq cm (d) 36 sq cm
- 8.A rectangle is 10 cm long and 5 cm wide. What is its perimeter? (a) 25 cm (b) 50 cm (c) 30 cm (d) 15 cm
- 9.A rectangle has an area of 119 sq cm and a length of 17 cm. What is its width? (a) 8 cm (b) 7 cm (c) 102 cm (d) 14 cm
- 10.A rectangle is 12 cm long and 2 cm wide. What is its perimeter? (a) 26 cm (b) 24 cm (c) 28 cm (d) 14 cm
- 11.A rectangle has an area of 65 sq cm and a length of 13 cm. What is its width? (a) 10 cm (b) 5 cm (c) 52 cm (d) 6 cm
- 12.A rectangle is 11 cm long and 7 cm wide. What is its area? (a) 88 sq cm (b) 36 sq cm (c) 77 sq cm (d) 18 sq cm
- 13.A rectangle is 18 cm long and 6 cm wide. What is its area? (a) 48 sq cm (b) 24 sq cm (c) 126 sq cm (d) 108 sq cm
- 14.A rectangle is 11 cm long and 5 cm wide. What is its perimeter? (a) 32 cm (b) 55 cm (c) 27 cm (d) 16 cm
- 15.A rectangle has an area of 30 sq cm and a length of 15 cm. What is its width? (a) 2 cm (b) 3 cm (c) 4 cm (d) 15 cm
- 16.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 10 sq cm (b) 28 sq cm (c) 20 sq cm (d) 21 sq cm
- 17.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 30 sq cm (b) 22 sq cm (c) 11 sq cm (d) 36 sq cm
- 18.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 24 sq cm (b) 10 sq cm (c) 20 sq cm (d) 16 sq cm
- 19.A rectangle is 10 cm long and 5 cm wide. What is its area? (a) 30 sq cm (b) 60 sq cm (c) 15 sq cm (d) 50 sq cm
- 20.A rectangle has an area of 200 sq cm and a length of 20 cm. What is its width? (a) 20 cm (b) 10 cm (c) 180 cm (d) 11 cm
- 21.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
- 22.A rectangle has an area of 165 sq cm and a length of 15 cm. What is its width? (a) 12 cm (b) 22 cm (c) 150 cm (d) 11 cm
- 23.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 11 cm (b) 22 cm (c) 28 cm (d) 18 cm
- 24.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
- 25.A rectangle has an area of 24 sq cm and a length of 8 cm. What is its width? (a) 16 cm (b) 6 cm (c) 4 cm (d) 3 cm
- 26.A rectangle has an area of 162 sq cm and a length of 18 cm. What is its width? (a) 18 cm (b) 9 cm (c) 144 cm (d) 10 cm
- 27.A rectangle has an area of 132 sq cm and a length of 12 cm. What is its width? (a) 22 cm (b) 120 cm (c) 12 cm (d) 11 cm
- 28.A square has a perimeter of 40 cm. What is its area? (a) 100 sq cm (b) 121 sq cm (c) 40 sq cm (d) 20 sq cm
- 29.A rectangle is 9 cm long and 4 cm wide. What is its perimeter? (a) 22 cm (b) 26 cm (c) 36 cm (d) 13 cm
- 30.A rectangle has an area of 95 sq cm and a length of 19 cm. What is its width? (a) 6 cm (b) 10 cm (c) 5 cm (d) 76 cm
- 31.A rectangle has an area of 160 sq cm and a length of 20 cm. What is its width? (a) 16 cm (b) 9 cm (c) 140 cm (d) 8 cm
- 32.A rectangle has an area of 72 sq cm and a length of 18 cm. What is its width? (a) 54 cm (b) 8 cm (c) 5 cm (d) 4 cm
- 33.A rectangle is 14 cm long and 10 cm wide. What is its area? (a) 140 sq cm (b) 24 sq cm (c) 48 sq cm (d) 154 sq cm
- 34.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 17 cm (b) 22 cm (c) 30 cm (d) 11 cm
- 35.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 49 sq cm (c) 28 sq cm (d) 14 sq cm
- 36.A rectangle has an area of 180 sq cm and a length of 15 cm. What is its width? (a) 12 cm (b) 24 cm (c) 13 cm (d) 165 cm
- 37.A rectangle is 9 cm long and 8 cm wide. What is its area? (a) 34 sq cm (b) 81 sq cm (c) 17 sq cm (d) 72 sq cm
- 38.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 14 sq cm (b) 45 sq cm (c) 28 sq cm (d) 54 sq cm
- 39.A rectangle is 17 cm long and 11 cm wide. What is its area? (a) 204 sq cm (b) 56 sq cm (c) 187 sq cm (d) 28 sq cm
- 40.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 196 sq cm (c) 225 sq cm (d) 56 sq cm
Answer key
- 72 sq cm
- 16 cm
- 3 cm
- 40 cm
- 99 sq cm
- 30 cm
- 81 sq cm
- 30 cm
- 7 cm
- 28 cm
- 5 cm
- 77 sq cm
- 108 sq cm
- 32 cm
- 2 cm
- 21 sq cm
- 30 sq cm
- 16 sq cm
- 50 sq cm
- 10 cm
- 36 sq cm
- 11 cm
- 22 cm
- 154 sq cm
- 3 cm
- 9 cm
- 11 cm
- 100 sq cm
- 26 cm
- 5 cm
- 8 cm
- 4 cm
- 140 sq cm
- 22 cm
- 49 sq cm
- 12 cm
- 72 sq cm
- 45 sq cm
- 187 sq cm
- 196 sq cm
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