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 24 cm. What is its area? (a) 24 sq cm (b) 12 sq cm (c) 49 sq cm (d) 36 sq cm
- 2.A rectangle has an area of 56 sq cm and a length of 8 cm. What is its width? (a) 8 cm (b) 7 cm (c) 48 cm (d) 14 cm
- 3.A rectangle has an area of 12 sq cm and a length of 6 cm. What is its width? (a) 3 cm (b) 4 cm (c) 6 cm (d) 2 cm
- 4.A rectangle is 13 cm long and 12 cm wide. What is its area? (a) 169 sq cm (b) 25 sq cm (c) 156 sq cm (d) 50 sq cm
- 5.A rectangle is 14 cm long and 4 cm wide. What is its area? (a) 56 sq cm (b) 36 sq cm (c) 70 sq cm (d) 18 sq cm
- 6.A rectangle is 11 cm long and 5 cm wide. What is its area? (a) 55 sq cm (b) 66 sq cm (c) 32 sq cm (d) 16 sq cm
- 7.A rectangle is 16 cm long and 6 cm wide. What is its area? (a) 112 sq cm (b) 96 sq cm (c) 44 sq cm (d) 22 sq cm
- 8.A rectangle is 20 cm long and 5 cm wide. What is its area? (a) 50 sq cm (b) 120 sq cm (c) 25 sq cm (d) 100 sq cm
- 9.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 30 cm (b) 11 cm (c) 17 cm (d) 22 cm
- 10.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 18 sq cm (c) 81 sq cm (d) 100 sq cm
- 11.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
- 12.A rectangle is 15 cm long and 10 cm wide. What is its area? (a) 25 sq cm (b) 50 sq cm (c) 150 sq cm (d) 165 sq cm
- 13.A rectangle has an area of 10 sq cm and a length of 5 cm. What is its width? (a) 2 cm (b) 5 cm (c) 3 cm (d) 4 cm
- 14.A rectangle is 18 cm long and 12 cm wide. What is its area? (a) 60 sq cm (b) 30 sq cm (c) 234 sq cm (d) 216 sq cm
- 15.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
- 16.A rectangle has an area of 120 sq cm and a length of 12 cm. What is its width? (a) 20 cm (b) 10 cm (c) 108 cm (d) 11 cm
- 17.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 16 sq cm (c) 32 sq cm (d) 64 sq cm
- 18.A rectangle is 11 cm long and 9 cm wide. What is its perimeter? (a) 99 cm (b) 40 cm (c) 20 cm (d) 31 cm
- 19.A rectangle is 14 cm long and 5 cm wide. What is its area? (a) 84 sq cm (b) 19 sq cm (c) 70 sq cm (d) 38 sq cm
- 20.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 196 sq cm (c) 225 sq cm (d) 28 sq cm
- 21.A rectangle is 12 cm long and 8 cm wide. What is its perimeter? (a) 32 cm (b) 20 cm (c) 96 cm (d) 40 cm
- 22.A rectangle is 17 cm long and 4 cm wide. What is its perimeter? (a) 38 cm (b) 42 cm (c) 68 cm (d) 21 cm
- 23.A rectangle is 19 cm long and 2 cm wide. What is its area? (a) 42 sq cm (b) 57 sq cm (c) 38 sq cm (d) 21 sq cm
- 24.A rectangle has an area of 28 sq cm and a length of 14 cm. What is its width? (a) 14 cm (b) 3 cm (c) 2 cm (d) 4 cm
- 25.A rectangle has an area of 48 sq cm and a length of 8 cm. What is its width? (a) 7 cm (b) 40 cm (c) 6 cm (d) 12 cm
- 26.A rectangle is 19 cm long and 7 cm wide. What is its area? (a) 52 sq cm (b) 152 sq cm (c) 26 sq cm (d) 133 sq cm
- 27.A rectangle is 12 cm long and 4 cm wide. What is its perimeter? (a) 28 cm (b) 32 cm (c) 16 cm (d) 48 cm
- 28.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 25 sq cm (c) 20 sq cm (d) 36 sq cm
- 29.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 20 sq cm (b) 24 sq cm (c) 16 sq cm (d) 10 sq cm
- 30.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 21 sq cm (b) 9 sq cm (c) 18 sq cm (d) 14 sq cm
- 31.A rectangle has an area of 162 sq cm and a length of 18 cm. What is its width? (a) 9 cm (b) 18 cm (c) 10 cm (d) 144 cm
- 32.A rectangle has an area of 168 sq cm and a length of 14 cm. What is its width? (a) 13 cm (b) 24 cm (c) 12 cm (d) 154 cm
- 33.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 8 cm (b) 12 cm (c) 14 cm (d) 16 cm
- 34.A rectangle is 12 cm long and 6 cm wide. What is its perimeter? (a) 30 cm (b) 36 cm (c) 72 cm (d) 18 cm
- 35.A rectangle has an area of 51 sq cm and a length of 17 cm. What is its width? (a) 4 cm (b) 6 cm (c) 34 cm (d) 3 cm
- 36.A rectangle has an area of 35 sq cm and a length of 7 cm. What is its width? (a) 6 cm (b) 10 cm (c) 28 cm (d) 5 cm
- 37.A rectangle has an area of 14 sq cm and a length of 7 cm. What is its width? (a) 7 cm (b) 3 cm (c) 2 cm (d) 4 cm
- 38.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 169 sq cm (c) 26 sq cm (d) 196 sq cm
- 39.A rectangle has an area of 105 sq cm and a length of 15 cm. What is its width? (a) 8 cm (b) 7 cm (c) 14 cm (d) 90 cm
- 40.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 56 sq cm (b) 28 sq cm (c) 14 sq cm (d) 48 sq cm
Answer key
- 36 sq cm
- 7 cm
- 2 cm
- 156 sq cm
- 56 sq cm
- 55 sq cm
- 96 sq cm
- 100 sq cm
- 22 cm
- 81 sq cm
- 30 cm
- 150 sq cm
- 2 cm
- 216 sq cm
- 49 sq cm
- 10 cm
- 64 sq cm
- 40 cm
- 70 sq cm
- 196 sq cm
- 40 cm
- 42 cm
- 38 sq cm
- 2 cm
- 6 cm
- 133 sq cm
- 32 cm
- 25 sq cm
- 16 sq cm
- 14 sq cm
- 9 cm
- 12 cm
- 16 cm
- 36 cm
- 3 cm
- 5 cm
- 2 cm
- 169 sq cm
- 7 cm
- 48 sq cm
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