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 5 cm wide. What is its perimeter? (a) 22 cm (b) 11 cm (c) 17 cm (d) 30 cm
- 2.A rectangle has an area of 54 sq cm and a length of 9 cm. What is its width? (a) 6 cm (b) 45 cm (c) 7 cm (d) 12 cm
- 3.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 49 sq cm (c) 28 sq cm (d) 64 sq cm
- 4.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 22 sq cm (c) 44 sq cm (d) 121 sq cm
- 5.A rectangle is 8 cm long and 5 cm wide. What is its area? (a) 26 sq cm (b) 48 sq cm (c) 13 sq cm (d) 40 sq cm
- 6.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 196 sq cm (c) 169 sq cm (d) 26 sq cm
- 7.A rectangle has an area of 112 sq cm and a length of 14 cm. What is its width? (a) 8 cm (b) 16 cm (c) 98 cm (d) 9 cm
- 8.A rectangle is 10 cm long and 2 cm wide. What is its perimeter? (a) 20 cm (b) 24 cm (c) 22 cm (d) 12 cm
- 9.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 25 sq cm (c) 36 sq cm (d) 10 sq cm
- 10.A rectangle is 11 cm long and 9 cm wide. What is its perimeter? (a) 99 cm (b) 20 cm (c) 40 cm (d) 31 cm
- 11.A rectangle has an area of 143 sq cm and a length of 13 cm. What is its width? (a) 22 cm (b) 12 cm (c) 130 cm (d) 11 cm
- 12.A rectangle has an area of 108 sq cm and a length of 18 cm. What is its width? (a) 12 cm (b) 7 cm (c) 6 cm (d) 90 cm
- 13.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
- 14.A rectangle is 14 cm long and 11 cm wide. What is its area? (a) 168 sq cm (b) 50 sq cm (c) 154 sq cm (d) 25 sq cm
- 15.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 12 cm (b) 14 cm (c) 8 cm (d) 16 cm
- 16.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 10 sq cm (b) 24 sq cm (c) 30 sq cm (d) 20 sq cm
- 17.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 15 sq cm (b) 56 sq cm (c) 64 sq cm (d) 30 sq cm
- 18.A rectangle is 12 cm long and 3 cm wide. What is its perimeter? (a) 36 cm (b) 15 cm (c) 27 cm (d) 30 cm
- 19.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 14 sq cm (b) 28 sq cm (c) 45 sq cm (d) 54 sq cm
- 20.A rectangle is 12 cm long and 4 cm wide. What is its area? (a) 32 sq cm (b) 48 sq cm (c) 16 sq cm (d) 60 sq cm
- 21.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 40 sq cm (b) 24 sq cm (c) 32 sq cm (d) 12 sq cm
- 22.A rectangle is 17 cm long and 11 cm wide. What is its area? (a) 204 sq cm (b) 28 sq cm (c) 187 sq cm (d) 56 sq cm
- 23.A rectangle is 16 cm long and 2 cm wide. What is its perimeter? (a) 18 cm (b) 34 cm (c) 32 cm (d) 36 cm
- 24.A rectangle has an area of 36 sq cm and a length of 18 cm. What is its width? (a) 18 cm (b) 2 cm (c) 4 cm (d) 3 cm
- 25.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 21 cm (b) 10 cm (c) 17 cm (d) 20 cm
- 26.A square has a perimeter of 36 cm. What is its area? (a) 81 sq cm (b) 100 sq cm (c) 36 sq cm (d) 18 sq cm
- 27.A rectangle is 10 cm long and 3 cm wide. What is its area? (a) 26 sq cm (b) 13 sq cm (c) 40 sq cm (d) 30 sq cm
- 28.A rectangle has an area of 18 sq cm and a length of 9 cm. What is its width? (a) 9 cm (b) 3 cm (c) 2 cm (d) 4 cm
- 29.A rectangle is 14 cm long and 10 cm wide. What is its area? (a) 48 sq cm (b) 140 sq cm (c) 24 sq cm (d) 154 sq cm
- 30.A rectangle is 19 cm long and 9 cm wide. What is its area? (a) 190 sq cm (b) 28 sq cm (c) 171 sq cm (d) 56 sq cm
- 31.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 11 sq cm (b) 30 sq cm (c) 22 sq cm (d) 36 sq cm
- 32.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 12 sq cm (c) 36 sq cm (d) 49 sq cm
- 33.A rectangle is 12 cm long and 3 cm wide. What is its area? (a) 15 sq cm (b) 36 sq cm (c) 30 sq cm (d) 48 sq cm
- 34.A rectangle is 20 cm long and 11 cm wide. What is its area? (a) 62 sq cm (b) 240 sq cm (c) 31 sq cm (d) 220 sq cm
- 35.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 32 sq cm (c) 64 sq cm (d) 16 sq cm
- 36.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 12 sq cm (b) 27 sq cm (c) 36 sq cm (d) 24 sq cm
- 37.A rectangle is 13 cm long and 6 cm wide. What is its area? (a) 38 sq cm (b) 78 sq cm (c) 91 sq cm (d) 19 sq cm
- 38.A rectangle has an area of 45 sq cm and a length of 9 cm. What is its width? (a) 5 cm (b) 36 cm (c) 6 cm (d) 10 cm
- 39.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 196 sq cm (c) 56 sq cm (d) 28 sq cm
- 40.A rectangle is 12 cm long and 4 cm wide. What is its perimeter? (a) 16 cm (b) 32 cm (c) 28 cm (d) 48 cm
Answer key
- 22 cm
- 6 cm
- 49 sq cm
- 121 sq cm
- 40 sq cm
- 169 sq cm
- 8 cm
- 24 cm
- 25 sq cm
- 40 cm
- 11 cm
- 6 cm
- 12 cm
- 154 sq cm
- 16 cm
- 24 sq cm
- 56 sq cm
- 30 cm
- 45 sq cm
- 48 sq cm
- 32 sq cm
- 187 sq cm
- 36 cm
- 2 cm
- 20 cm
- 81 sq cm
- 30 sq cm
- 2 cm
- 140 sq cm
- 171 sq cm
- 30 sq cm
- 36 sq cm
- 36 sq cm
- 220 sq cm
- 64 sq cm
- 27 sq cm
- 78 sq cm
- 5 cm
- 196 sq cm
- 32 cm
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