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) 10 sq cm (b) 20 sq cm (c) 36 sq cm (d) 25 sq cm
- 2.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 10 sq cm (b) 24 sq cm (c) 20 sq cm (d) 16 sq cm
- 3.A rectangle is 10 cm long and 2 cm wide. What is its area? (a) 24 sq cm (b) 12 sq cm (c) 30 sq cm (d) 20 sq cm
- 4.A rectangle is 19 cm long and 4 cm wide. What is its perimeter? (a) 23 cm (b) 46 cm (c) 42 cm (d) 76 cm
- 5.A rectangle is 13 cm long and 8 cm wide. What is its area? (a) 42 sq cm (b) 21 sq cm (c) 117 sq cm (d) 104 sq cm
- 6.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 11 sq cm (b) 22 sq cm (c) 24 sq cm (d) 32 sq cm
- 7.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
- 8.A rectangle is 10 cm long and 2 cm wide. What is its perimeter? (a) 12 cm (b) 20 cm (c) 22 cm (d) 24 cm
- 9.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 81 sq cm (c) 100 sq cm (d) 18 sq cm
- 10.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
- 11.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 24 sq cm (c) 144 sq cm (d) 48 sq cm
- 12.A rectangle is 8 cm long and 5 cm wide. What is its perimeter? (a) 21 cm (b) 40 cm (c) 13 cm (d) 26 cm
- 13.A rectangle has an area of 187 sq cm and a length of 17 cm. What is its width? (a) 170 cm (b) 22 cm (c) 12 cm (d) 11 cm
- 14.A rectangle has an area of 171 sq cm and a length of 19 cm. What is its width? (a) 152 cm (b) 9 cm (c) 10 cm (d) 18 cm
- 15.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 12 sq cm (b) 36 sq cm (c) 24 sq cm (d) 27 sq cm
- 16.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
- 17.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 28 sq cm (b) 45 sq cm (c) 54 sq cm (d) 14 sq cm
- 18.A rectangle has an area of 143 sq cm and a length of 13 cm. What is its width? (a) 22 cm (b) 130 cm (c) 11 cm (d) 12 cm
- 19.A rectangle is 13 cm long and 10 cm wide. What is its perimeter? (a) 130 cm (b) 46 cm (c) 23 cm (d) 36 cm
- 20.A rectangle is 17 cm long and 5 cm wide. What is its area? (a) 85 sq cm (b) 44 sq cm (c) 22 sq cm (d) 102 sq cm
- 21.A rectangle is 12 cm long and 4 cm wide. What is its area? (a) 48 sq cm (b) 60 sq cm (c) 32 sq cm (d) 16 sq cm
- 22.A rectangle has an area of 120 sq cm and a length of 12 cm. What is its width? (a) 108 cm (b) 20 cm (c) 10 cm (d) 11 cm
- 23.A rectangle is 10 cm long and 5 cm wide. What is its perimeter? (a) 50 cm (b) 25 cm (c) 15 cm (d) 30 cm
- 24.A rectangle is 14 cm long and 3 cm wide. What is its area? (a) 56 sq cm (b) 42 sq cm (c) 17 sq cm (d) 34 sq cm
- 25.A rectangle has an area of 130 sq cm and a length of 13 cm. What is its width? (a) 20 cm (b) 11 cm (c) 10 cm (d) 117 cm
- 26.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 144 sq cm (c) 44 sq cm (d) 121 sq cm
- 27.A rectangle has an area of 68 sq cm and a length of 17 cm. What is its width? (a) 5 cm (b) 4 cm (c) 8 cm (d) 51 cm
- 28.A rectangle is 12 cm long and 4 cm wide. What is its perimeter? (a) 28 cm (b) 32 cm (c) 48 cm (d) 16 cm
- 29.A rectangle is 15 cm long and 9 cm wide. What is its perimeter? (a) 135 cm (b) 48 cm (c) 39 cm (d) 24 cm
- 30.A rectangle is 18 cm long and 2 cm wide. What is its perimeter? (a) 38 cm (b) 20 cm (c) 36 cm (d) 40 cm
- 31.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 30 sq cm (b) 56 sq cm (c) 64 sq cm (d) 15 sq cm
- 32.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 225 sq cm (c) 196 sq cm (d) 56 sq cm
- 33.A rectangle is 16 cm long and 11 cm wide. What is its perimeter? (a) 176 cm (b) 43 cm (c) 54 cm (d) 27 cm
- 34.A square has a perimeter of 40 cm. What is its area? (a) 100 sq cm (b) 121 sq cm (c) 40 sq cm (d) 20 sq cm
- 35.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 64 sq cm (d) 49 sq cm
- 36.A rectangle is 12 cm long and 2 cm wide. What is its area? (a) 36 sq cm (b) 28 sq cm (c) 14 sq cm (d) 24 sq cm
- 37.A rectangle is 12 cm long and 3 cm wide. What is its perimeter? (a) 30 cm (b) 15 cm (c) 36 cm (d) 27 cm
- 38.A rectangle is 15 cm long and 7 cm wide. What is its perimeter? (a) 105 cm (b) 22 cm (c) 37 cm (d) 44 cm
- 39.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 30 sq cm (c) 256 sq cm (d) 225 sq cm
- 40.A rectangle has an area of 126 sq cm and a length of 14 cm. What is its width? (a) 10 cm (b) 112 cm (c) 18 cm (d) 9 cm
Answer key
- 25 sq cm
- 16 sq cm
- 20 sq cm
- 46 cm
- 104 sq cm
- 24 sq cm
- 16 cm
- 24 cm
- 81 sq cm
- 9 cm
- 144 sq cm
- 26 cm
- 11 cm
- 9 cm
- 27 sq cm
- 38 cm
- 45 sq cm
- 11 cm
- 46 cm
- 85 sq cm
- 48 sq cm
- 10 cm
- 30 cm
- 42 sq cm
- 10 cm
- 121 sq cm
- 4 cm
- 32 cm
- 48 cm
- 40 cm
- 56 sq cm
- 196 sq cm
- 54 cm
- 100 sq cm
- 49 sq cm
- 24 sq cm
- 30 cm
- 44 cm
- 225 sq cm
- 9 cm
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