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 has an area of 168 sq cm and a length of 14 cm. What is its width? (a) 13 cm (b) 12 cm (c) 24 cm (d) 154 cm
- 2.A rectangle is 11 cm long and 5 cm wide. What is its perimeter? (a) 16 cm (b) 32 cm (c) 55 cm (d) 27 cm
- 3.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 20 sq cm (c) 25 sq cm (d) 36 sq cm
- 4.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
- 5.A rectangle is 11 cm long and 8 cm wide. What is its area? (a) 38 sq cm (b) 19 sq cm (c) 99 sq cm (d) 88 sq cm
- 6.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
- 7.A rectangle is 10 cm long and 2 cm wide. What is its area? (a) 30 sq cm (b) 12 sq cm (c) 20 sq cm (d) 24 sq cm
- 8.A rectangle has an area of 28 sq cm and a length of 7 cm. What is its width? (a) 21 cm (b) 5 cm (c) 4 cm (d) 8 cm
- 9.A rectangle has an area of 48 sq cm and a length of 16 cm. What is its width? (a) 4 cm (b) 6 cm (c) 3 cm (d) 32 cm
- 10.A rectangle has an area of 80 sq cm and a length of 10 cm. What is its width? (a) 9 cm (b) 8 cm (c) 70 cm (d) 16 cm
- 11.A rectangle is 19 cm long and 4 cm wide. What is its perimeter? (a) 23 cm (b) 46 cm (c) 42 cm (d) 76 cm
- 12.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 20 sq cm (b) 21 sq cm (c) 10 sq cm (d) 28 sq cm
- 13.A rectangle is 16 cm long and 8 cm wide. What is its perimeter? (a) 128 cm (b) 40 cm (c) 24 cm (d) 48 cm
- 14.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 28 sq cm (b) 11 sq cm (c) 35 sq cm (d) 22 sq cm
- 15.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 64 sq cm (c) 16 sq cm (d) 81 sq cm
- 16.A rectangle is 18 cm long and 10 cm wide. What is its area? (a) 180 sq cm (b) 28 sq cm (c) 198 sq cm (d) 56 sq cm
- 17.A rectangle is 17 cm long and 4 cm wide. What is its area? (a) 42 sq cm (b) 21 sq cm (c) 85 sq cm (d) 68 sq cm
- 18.A rectangle has an area of 130 sq cm and a length of 13 cm. What is its width? (a) 10 cm (b) 11 cm (c) 20 cm (d) 117 cm
- 19.A rectangle is 20 cm long and 4 cm wide. What is its perimeter? (a) 24 cm (b) 44 cm (c) 48 cm (d) 80 cm
- 20.A rectangle is 19 cm long and 7 cm wide. What is its perimeter? (a) 133 cm (b) 52 cm (c) 45 cm (d) 26 cm
- 21.A rectangle has an area of 170 sq cm and a length of 17 cm. What is its width? (a) 10 cm (b) 11 cm (c) 20 cm (d) 153 cm
- 22.A rectangle is 14 cm long and 3 cm wide. What is its area? (a) 34 sq cm (b) 17 sq cm (c) 56 sq cm (d) 42 sq cm
- 23.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
- 24.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 9 sq cm (c) 18 sq cm (d) 19 sq cm
- 25.A rectangle has an area of 90 sq cm and a length of 10 cm. What is its width? (a) 80 cm (b) 10 cm (c) 18 cm (d) 9 cm
- 26.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) 12 cm (d) 187 cm
- 27.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 56 sq cm (c) 196 sq cm (d) 28 sq cm
- 28.A rectangle is 11 cm long and 4 cm wide. What is its perimeter? (a) 15 cm (b) 30 cm (c) 44 cm (d) 26 cm
- 29.A rectangle is 10 cm long and 4 cm wide. What is its perimeter? (a) 40 cm (b) 24 cm (c) 14 cm (d) 28 cm
- 30.A rectangle has an area of 57 sq cm and a length of 19 cm. What is its width? (a) 6 cm (b) 4 cm (c) 3 cm (d) 38 cm
- 31.A square has a perimeter of 24 cm. What is its area? (a) 36 sq cm (b) 49 sq cm (c) 24 sq cm (d) 12 sq cm
- 32.A rectangle is 12 cm long and 11 cm wide. What is its perimeter? (a) 46 cm (b) 35 cm (c) 132 cm (d) 23 cm
- 33.A rectangle is 9 cm long and 3 cm wide. What is its perimeter? (a) 24 cm (b) 21 cm (c) 27 cm (d) 12 cm
- 34.A rectangle is 14 cm long and 9 cm wide. What is its area? (a) 140 sq cm (b) 126 sq cm (c) 46 sq cm (d) 23 sq cm
- 35.A rectangle is 11 cm long and 2 cm wide. What is its perimeter? (a) 22 cm (b) 26 cm (c) 13 cm (d) 24 cm
- 36.A rectangle has an area of 114 sq cm and a length of 19 cm. What is its width? (a) 7 cm (b) 6 cm (c) 95 cm (d) 12 cm
- 37.A rectangle is 15 cm long and 2 cm wide. What is its perimeter? (a) 30 cm (b) 17 cm (c) 34 cm (d) 32 cm
- 38.A rectangle has an area of 216 sq cm and a length of 18 cm. What is its width? (a) 198 cm (b) 12 cm (c) 13 cm (d) 24 cm
- 39.A rectangle is 13 cm long and 8 cm wide. What is its perimeter? (a) 42 cm (b) 34 cm (c) 104 cm (d) 21 cm
- 40.A rectangle is 8 cm long and 5 cm wide. What is its area? (a) 26 sq cm (b) 40 sq cm (c) 48 sq cm (d) 13 sq cm
Answer key
- 12 cm
- 32 cm
- 25 sq cm
- 225 sq cm
- 88 sq cm
- 18 cm
- 20 sq cm
- 4 cm
- 3 cm
- 8 cm
- 46 cm
- 21 sq cm
- 48 cm
- 28 sq cm
- 64 sq cm
- 180 sq cm
- 68 sq cm
- 10 cm
- 48 cm
- 52 cm
- 10 cm
- 42 sq cm
- 60 sq cm
- 18 sq cm
- 9 cm
- 12 cm
- 196 sq cm
- 30 cm
- 28 cm
- 3 cm
- 36 sq cm
- 46 cm
- 24 cm
- 126 sq cm
- 26 cm
- 6 cm
- 34 cm
- 12 cm
- 42 cm
- 40 sq cm
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