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) 100 sq cm (b) 20 sq cm (c) 121 sq cm (d) 40 sq cm
- 2.A rectangle has an area of 144 sq cm and a length of 16 cm. What is its width? (a) 128 cm (b) 10 cm (c) 9 cm (d) 18 cm
- 3.A rectangle is 15 cm long and 5 cm wide. What is its area? (a) 90 sq cm (b) 20 sq cm (c) 75 sq cm (d) 40 sq cm
- 4.A rectangle is 15 cm long and 11 cm wide. What is its area? (a) 52 sq cm (b) 180 sq cm (c) 26 sq cm (d) 165 sq cm
- 5.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 16 sq cm (c) 81 sq cm (d) 64 sq cm
- 6.A rectangle has an area of 39 sq cm and a length of 13 cm. What is its width? (a) 4 cm (b) 26 cm (c) 6 cm (d) 3 cm
- 7.A rectangle has an area of 10 sq cm and a length of 5 cm. What is its width? (a) 3 cm (b) 2 cm (c) 4 cm (d) 5 cm
- 8.A rectangle is 15 cm long and 8 cm wide. What is its area? (a) 120 sq cm (b) 23 sq cm (c) 135 sq cm (d) 46 sq cm
- 9.A rectangle has an area of 140 sq cm and a length of 14 cm. What is its width? (a) 126 cm (b) 11 cm (c) 10 cm (d) 20 cm
- 10.A rectangle has an area of 30 sq cm and a length of 10 cm. What is its width? (a) 6 cm (b) 20 cm (c) 4 cm (d) 3 cm
- 11.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 22 sq cm (b) 28 sq cm (c) 35 sq cm (d) 11 sq cm
- 12.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 169 sq cm (c) 24 sq cm (d) 144 sq cm
- 13.A rectangle has an area of 12 sq cm and a length of 4 cm. What is its width? (a) 3 cm (b) 4 cm (c) 6 cm (d) 8 cm
- 14.A square has a perimeter of 52 cm. What is its area? (a) 26 sq cm (b) 196 sq cm (c) 169 sq cm (d) 52 sq cm
- 15.A rectangle is 18 cm long and 10 cm wide. What is its area? (a) 180 sq cm (b) 56 sq cm (c) 28 sq cm (d) 198 sq cm
- 16.A rectangle has an area of 36 sq cm and a length of 9 cm. What is its width? (a) 27 cm (b) 5 cm (c) 8 cm (d) 4 cm
- 17.A rectangle is 9 cm long and 6 cm wide. What is its area? (a) 63 sq cm (b) 30 sq cm (c) 54 sq cm (d) 15 sq cm
- 18.A rectangle has an area of 84 sq cm and a length of 14 cm. What is its width? (a) 12 cm (b) 70 cm (c) 7 cm (d) 6 cm
- 19.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
- 20.A rectangle is 19 cm long and 2 cm wide. What is its area? (a) 42 sq cm (b) 21 sq cm (c) 38 sq cm (d) 57 sq cm
- 21.A rectangle is 14 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 28 cm (c) 32 cm (d) 30 cm
- 22.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 22 sq cm (b) 32 sq cm (c) 24 sq cm (d) 11 sq cm
- 23.A rectangle is 12 cm long and 3 cm wide. What is its area? (a) 48 sq cm (b) 30 sq cm (c) 15 sq cm (d) 36 sq cm
- 24.A rectangle has an area of 30 sq cm and a length of 6 cm. What is its width? (a) 6 cm (b) 10 cm (c) 5 cm (d) 24 cm
- 25.A rectangle is 17 cm long and 11 cm wide. What is its area? (a) 204 sq cm (b) 56 sq cm (c) 28 sq cm (d) 187 sq cm
- 26.A rectangle has an area of 42 sq cm and a length of 14 cm. What is its width? (a) 28 cm (b) 3 cm (c) 6 cm (d) 4 cm
- 27.A rectangle is 15 cm long and 3 cm wide. What is its perimeter? (a) 45 cm (b) 36 cm (c) 18 cm (d) 33 cm
- 28.A rectangle is 10 cm long and 9 cm wide. What is its area? (a) 100 sq cm (b) 38 sq cm (c) 90 sq cm (d) 19 sq cm
- 29.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 18 cm (b) 9 cm (c) 16 cm (d) 14 cm
- 30.A rectangle has an area of 180 sq cm and a length of 18 cm. What is its width? (a) 20 cm (b) 162 cm (c) 10 cm (d) 11 cm
- 31.A rectangle has an area of 220 sq cm and a length of 20 cm. What is its width? (a) 11 cm (b) 12 cm (c) 22 cm (d) 200 cm
- 32.A rectangle is 16 cm long and 6 cm wide. What is its perimeter? (a) 38 cm (b) 96 cm (c) 44 cm (d) 22 cm
- 33.A rectangle is 17 cm long and 7 cm wide. What is its perimeter? (a) 119 cm (b) 41 cm (c) 48 cm (d) 24 cm
- 34.A rectangle is 9 cm long and 4 cm wide. What is its perimeter? (a) 13 cm (b) 22 cm (c) 26 cm (d) 36 cm
- 35.A rectangle has an area of 108 sq cm and a length of 18 cm. What is its width? (a) 12 cm (b) 6 cm (c) 90 cm (d) 7 cm
- 36.A rectangle is 18 cm long and 11 cm wide. What is its area? (a) 198 sq cm (b) 29 sq cm (c) 58 sq cm (d) 216 sq cm
- 37.A rectangle has an area of 99 sq cm and a length of 11 cm. What is its width? (a) 18 cm (b) 10 cm (c) 9 cm (d) 88 cm
- 38.A rectangle is 8 cm long and 4 cm wide. What is its perimeter? (a) 32 cm (b) 20 cm (c) 12 cm (d) 24 cm
- 39.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 256 sq cm (c) 225 sq cm (d) 60 sq cm
- 40.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 24 sq cm (b) 20 sq cm (c) 10 sq cm (d) 30 sq cm
Answer key
- 100 sq cm
- 9 cm
- 75 sq cm
- 165 sq cm
- 64 sq cm
- 3 cm
- 2 cm
- 120 sq cm
- 10 cm
- 3 cm
- 28 sq cm
- 144 sq cm
- 3 cm
- 169 sq cm
- 180 sq cm
- 4 cm
- 54 sq cm
- 6 cm
- 38 cm
- 38 sq cm
- 32 cm
- 24 sq cm
- 36 sq cm
- 5 cm
- 187 sq cm
- 3 cm
- 36 cm
- 90 sq cm
- 18 cm
- 10 cm
- 11 cm
- 44 cm
- 48 cm
- 26 cm
- 6 cm
- 198 sq cm
- 9 cm
- 24 cm
- 225 sq cm
- 24 sq cm
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