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 20 cm. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 25 sq cm (d) 36 sq cm
- 2.A rectangle is 15 cm long and 11 cm wide. What is its perimeter? (a) 26 cm (b) 41 cm (c) 52 cm (d) 165 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 15 cm long and 4 cm wide. What is its perimeter? (a) 19 cm (b) 60 cm (c) 38 cm (d) 34 cm
- 5.A rectangle is 9 cm long and 2 cm wide. What is its perimeter? (a) 22 cm (b) 20 cm (c) 11 cm (d) 18 cm
- 6.A square has a perimeter of 32 cm. What is its area? (a) 64 sq cm (b) 32 sq cm (c) 81 sq cm (d) 16 sq cm
- 7.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
- 8.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 40 sq cm (c) 121 sq cm (d) 100 sq cm
- 9.A rectangle is 11 cm long and 9 cm wide. What is its area? (a) 20 sq cm (b) 40 sq cm (c) 110 sq cm (d) 99 sq cm
- 10.A rectangle is 12 cm long and 6 cm wide. What is its perimeter? (a) 36 cm (b) 30 cm (c) 72 cm (d) 18 cm
- 11.A rectangle is 14 cm long and 9 cm wide. What is its perimeter? (a) 37 cm (b) 23 cm (c) 46 cm (d) 126 cm
- 12.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 225 sq cm (c) 256 sq cm (d) 60 sq cm
- 13.A rectangle is 9 cm long and 8 cm wide. What is its area? (a) 17 sq cm (b) 34 sq cm (c) 81 sq cm (d) 72 sq cm
- 14.A rectangle is 12 cm long and 2 cm wide. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 24 sq cm (d) 36 sq cm
- 15.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 30 sq cm (b) 15 sq cm (c) 64 sq cm (d) 56 sq cm
- 16.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
- 17.A rectangle has an area of 176 sq cm and a length of 16 cm. What is its width? (a) 160 cm (b) 11 cm (c) 22 cm (d) 12 cm
- 18.A rectangle has an area of 180 sq cm and a length of 20 cm. What is its width? (a) 18 cm (b) 160 cm (c) 9 cm (d) 10 cm
- 19.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 24 sq cm (b) 16 sq cm (c) 20 sq cm (d) 10 sq cm
- 20.A square has a perimeter of 36 cm. What is its area? (a) 81 sq cm (b) 36 sq cm (c) 18 sq cm (d) 100 sq cm
- 21.A rectangle is 16 cm long and 2 cm wide. What is its perimeter? (a) 34 cm (b) 32 cm (c) 18 cm (d) 36 cm
- 22.A rectangle has an area of 88 sq cm and a length of 11 cm. What is its width? (a) 16 cm (b) 8 cm (c) 9 cm (d) 77 cm
- 23.A rectangle is 13 cm long and 10 cm wide. What is its perimeter? (a) 130 cm (b) 23 cm (c) 46 cm (d) 36 cm
- 24.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 11 cm (b) 24 cm (c) 19 cm (d) 22 cm
- 25.A rectangle has an area of 180 sq cm and a length of 15 cm. What is its width? (a) 24 cm (b) 165 cm (c) 13 cm (d) 12 cm
- 26.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 48 sq cm (c) 144 sq cm (d) 24 sq cm
- 27.A rectangle is 17 cm long and 3 cm wide. What is its area? (a) 51 sq cm (b) 20 sq cm (c) 40 sq cm (d) 68 sq cm
- 28.A rectangle has an area of 96 sq cm and a length of 12 cm. What is its width? (a) 84 cm (b) 9 cm (c) 8 cm (d) 16 cm
- 29.A rectangle has an area of 80 sq cm and a length of 10 cm. What is its width? (a) 70 cm (b) 9 cm (c) 16 cm (d) 8 cm
- 30.A square has a perimeter of 24 cm. What is its area? (a) 36 sq cm (b) 12 sq cm (c) 24 sq cm (d) 49 sq cm
- 31.A rectangle has an area of 30 sq cm and a length of 6 cm. What is its width? (a) 10 cm (b) 24 cm (c) 5 cm (d) 6 cm
- 32.A rectangle is 15 cm long and 6 cm wide. What is its perimeter? (a) 21 cm (b) 42 cm (c) 36 cm (d) 90 cm
- 33.A square has a perimeter of 28 cm. What is its area? (a) 49 sq cm (b) 64 sq cm (c) 14 sq cm (d) 28 sq cm
- 34.A rectangle is 20 cm long and 5 cm wide. What is its area? (a) 50 sq cm (b) 25 sq cm (c) 120 sq cm (d) 100 sq cm
- 35.A rectangle is 18 cm long and 9 cm wide. What is its area? (a) 54 sq cm (b) 180 sq cm (c) 162 sq cm (d) 27 sq cm
- 36.A rectangle is 12 cm long and 6 cm wide. What is its area? (a) 72 sq cm (b) 36 sq cm (c) 18 sq cm (d) 84 sq cm
- 37.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 35 sq cm (b) 11 sq cm (c) 28 sq cm (d) 22 sq cm
- 38.A rectangle has an area of 26 sq cm and a length of 13 cm. What is its width? (a) 3 cm (b) 4 cm (c) 2 cm (d) 13 cm
- 39.A rectangle is 11 cm long and 4 cm wide. What is its perimeter? (a) 26 cm (b) 44 cm (c) 30 cm (d) 15 cm
- 40.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 27 sq cm (b) 36 sq cm (c) 24 sq cm (d) 12 sq cm
Answer key
- 25 sq cm
- 52 cm
- 2 cm
- 38 cm
- 22 cm
- 64 sq cm
- 21 sq cm
- 100 sq cm
- 99 sq cm
- 36 cm
- 46 cm
- 225 sq cm
- 72 sq cm
- 24 sq cm
- 56 sq cm
- 12 cm
- 11 cm
- 9 cm
- 16 sq cm
- 81 sq cm
- 36 cm
- 8 cm
- 46 cm
- 22 cm
- 12 cm
- 144 sq cm
- 51 sq cm
- 8 cm
- 8 cm
- 36 sq cm
- 5 cm
- 42 cm
- 49 sq cm
- 100 sq cm
- 162 sq cm
- 72 sq cm
- 28 sq cm
- 2 cm
- 30 cm
- 27 sq cm
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