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 6 cm long and 3 cm wide. What is its perimeter? (a) 19 cm (b) 18 cm (c) 15 cm (d) 9 cm
- 2.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 196 sq cm (c) 28 sq cm (d) 56 sq cm
- 3.A rectangle has an area of 36 sq cm and a length of 18 cm. What is its width? (a) 18 cm (b) 3 cm (c) 4 cm (d) 2 cm
- 4.A rectangle is 15 cm long and 12 cm wide. What is its perimeter? (a) 54 cm (b) 27 cm (c) 42 cm (d) 180 cm
- 5.A rectangle is 10 cm long and 3 cm wide. What is its area? (a) 13 sq cm (b) 26 sq cm (c) 40 sq cm (d) 30 sq cm
- 6.A rectangle is 15 cm long and 2 cm wide. What is its perimeter? (a) 32 cm (b) 17 cm (c) 30 cm (d) 34 cm
- 7.A rectangle has an area of 128 sq cm and a length of 16 cm. What is its width? (a) 112 cm (b) 9 cm (c) 8 cm (d) 16 cm
- 8.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 26 sq cm (c) 169 sq cm (d) 52 sq cm
- 9.A rectangle is 18 cm long and 11 cm wide. What is its area? (a) 216 sq cm (b) 198 sq cm (c) 29 sq cm (d) 58 sq cm
- 10.A rectangle has an area of 30 sq cm and a length of 15 cm. What is its width? (a) 15 cm (b) 3 cm (c) 4 cm (d) 2 cm
- 11.A rectangle has an area of 192 sq cm and a length of 16 cm. What is its width? (a) 12 cm (b) 176 cm (c) 13 cm (d) 24 cm
- 12.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 225 sq cm (c) 30 sq cm (d) 60 sq cm
- 13.A rectangle is 20 cm long and 11 cm wide. What is its area? (a) 240 sq cm (b) 220 sq cm (c) 62 sq cm (d) 31 sq cm
- 14.A rectangle is 14 cm long and 12 cm wide. What is its area? (a) 26 sq cm (b) 182 sq cm (c) 52 sq cm (d) 168 sq cm
- 15.A rectangle has an area of 130 sq cm and a length of 13 cm. What is its width? (a) 20 cm (b) 117 cm (c) 10 cm (d) 11 cm
- 16.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 32 sq cm (c) 81 sq cm (d) 64 sq cm
- 17.A rectangle has an area of 99 sq cm and a length of 11 cm. What is its width? (a) 9 cm (b) 18 cm (c) 10 cm (d) 88 cm
- 18.A rectangle has an area of 117 sq cm and a length of 13 cm. What is its width? (a) 10 cm (b) 9 cm (c) 104 cm (d) 18 cm
- 19.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 56 sq cm (b) 30 sq cm (c) 15 sq cm (d) 64 sq cm
- 20.A rectangle has an area of 104 sq cm and a length of 13 cm. What is its width? (a) 16 cm (b) 9 cm (c) 91 cm (d) 8 cm
- 21.A rectangle is 17 cm long and 11 cm wide. What is its area? (a) 28 sq cm (b) 56 sq cm (c) 187 sq cm (d) 204 sq cm
- 22.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 36 sq cm (c) 81 sq cm (d) 100 sq cm
- 23.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 20 cm (b) 16 cm (c) 10 cm (d) 18 cm
- 24.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 28 sq cm (b) 21 sq cm (c) 20 sq cm (d) 10 sq cm
- 25.A rectangle is 8 cm long and 5 cm wide. What is its perimeter? (a) 40 cm (b) 26 cm (c) 21 cm (d) 13 cm
- 26.A rectangle has an area of 36 sq cm and a length of 9 cm. What is its width? (a) 5 cm (b) 27 cm (c) 4 cm (d) 8 cm
- 27.A rectangle has an area of 72 sq cm and a length of 9 cm. What is its width? (a) 9 cm (b) 8 cm (c) 63 cm (d) 16 cm
- 28.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 11 cm (b) 18 cm (c) 28 cm (d) 22 cm
- 29.A rectangle is 15 cm long and 4 cm wide. What is its perimeter? (a) 19 cm (b) 34 cm (c) 60 cm (d) 38 cm
- 30.A rectangle is 15 cm long and 8 cm wide. What is its perimeter? (a) 120 cm (b) 23 cm (c) 38 cm (d) 46 cm
- 31.A rectangle is 11 cm long and 8 cm wide. What is its perimeter? (a) 88 cm (b) 19 cm (c) 30 cm (d) 38 cm
- 32.A rectangle has an area of 51 sq cm and a length of 17 cm. What is its width? (a) 3 cm (b) 6 cm (c) 34 cm (d) 4 cm
- 33.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 32 sq cm (b) 24 sq cm (c) 12 sq cm (d) 40 sq cm
- 34.A rectangle has an area of 42 sq cm and a length of 7 cm. What is its width? (a) 35 cm (b) 12 cm (c) 7 cm (d) 6 cm
- 35.A rectangle has an area of 30 sq cm and a length of 10 cm. What is its width? (a) 6 cm (b) 4 cm (c) 3 cm (d) 20 cm
- 36.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 12 sq cm (b) 16 sq cm (c) 8 sq cm (d) 18 sq cm
- 37.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 49 sq cm (c) 24 sq cm (d) 36 sq cm
- 38.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 35 cm (b) 19 cm (c) 12 cm (d) 24 cm
- 39.A rectangle has an area of 54 sq cm and a length of 18 cm. What is its width? (a) 3 cm (b) 6 cm (c) 4 cm (d) 36 cm
- 40.A rectangle is 16 cm long and 8 cm wide. What is its perimeter? (a) 48 cm (b) 128 cm (c) 24 cm (d) 40 cm
Answer key
- 18 cm
- 196 sq cm
- 2 cm
- 54 cm
- 30 sq cm
- 34 cm
- 8 cm
- 169 sq cm
- 198 sq cm
- 2 cm
- 12 cm
- 225 sq cm
- 220 sq cm
- 168 sq cm
- 10 cm
- 64 sq cm
- 9 cm
- 9 cm
- 56 sq cm
- 8 cm
- 187 sq cm
- 81 sq cm
- 20 cm
- 21 sq cm
- 26 cm
- 4 cm
- 8 cm
- 22 cm
- 38 cm
- 46 cm
- 38 cm
- 3 cm
- 32 sq cm
- 6 cm
- 3 cm
- 12 sq cm
- 36 sq cm
- 24 cm
- 3 cm
- 48 cm
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