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 8 cm long and 4 cm wide. What is its area? (a) 40 sq cm (b) 24 sq cm (c) 12 sq cm (d) 32 sq cm
- 2.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 18 sq cm (c) 100 sq cm (d) 81 sq cm
- 3.A rectangle has an area of 48 sq cm and a length of 12 cm. What is its width? (a) 8 cm (b) 5 cm (c) 36 cm (d) 4 cm
- 4.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 19 cm (b) 15 cm (c) 18 cm (d) 9 cm
- 5.A rectangle has an area of 66 sq cm and a length of 11 cm. What is its width? (a) 55 cm (b) 6 cm (c) 7 cm (d) 12 cm
- 6.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 60 sq cm (c) 225 sq cm (d) 30 sq cm
- 7.A rectangle is 17 cm long and 4 cm wide. What is its perimeter? (a) 38 cm (b) 68 cm (c) 42 cm (d) 21 cm
- 8.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 30 cm (b) 22 cm (c) 17 cm (d) 11 cm
- 9.A rectangle is 12 cm long and 7 cm wide. What is its perimeter? (a) 19 cm (b) 84 cm (c) 31 cm (d) 38 cm
- 10.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
- 11.A rectangle is 20 cm long and 8 cm wide. What is its perimeter? (a) 160 cm (b) 48 cm (c) 28 cm (d) 56 cm
- 12.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 36 sq cm (c) 12 sq cm (d) 49 sq cm
- 13.A rectangle is 10 cm long and 2 cm wide. What is its area? (a) 24 sq cm (b) 30 sq cm (c) 12 sq cm (d) 20 sq cm
- 14.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 18 sq cm (c) 19 sq cm (d) 9 sq cm
- 15.A rectangle is 11 cm long and 2 cm wide. What is its area? (a) 22 sq cm (b) 26 sq cm (c) 13 sq cm (d) 33 sq cm
- 16.A rectangle is 17 cm long and 12 cm wide. What is its perimeter? (a) 58 cm (b) 46 cm (c) 29 cm (d) 204 cm
- 17.A rectangle has an area of 96 sq cm and a length of 12 cm. What is its width? (a) 9 cm (b) 84 cm (c) 8 cm (d) 16 cm
- 18.A rectangle is 12 cm long and 10 cm wide. What is its area? (a) 44 sq cm (b) 22 sq cm (c) 120 sq cm (d) 132 sq cm
- 19.A rectangle is 10 cm long and 8 cm wide. What is its perimeter? (a) 80 cm (b) 28 cm (c) 36 cm (d) 18 cm
- 20.A rectangle has an area of 28 sq cm and a length of 14 cm. What is its width? (a) 2 cm (b) 14 cm (c) 4 cm (d) 3 cm
- 21.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 169 sq cm (c) 144 sq cm (d) 48 sq cm
- 22.A rectangle is 9 cm long and 3 cm wide. What is its perimeter? (a) 27 cm (b) 12 cm (c) 21 cm (d) 24 cm
- 23.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 36 sq cm (c) 25 sq cm (d) 20 sq cm
- 24.A rectangle has an area of 132 sq cm and a length of 12 cm. What is its width? (a) 120 cm (b) 12 cm (c) 22 cm (d) 11 cm
- 25.A rectangle has an area of 190 sq cm and a length of 19 cm. What is its width? (a) 20 cm (b) 11 cm (c) 171 cm (d) 10 cm
- 26.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 11 cm (b) 22 cm (c) 19 cm (d) 24 cm
- 27.A rectangle is 12 cm long and 3 cm wide. What is its area? (a) 48 sq cm (b) 15 sq cm (c) 36 sq cm (d) 30 sq cm
- 28.A rectangle is 15 cm long and 6 cm wide. What is its area? (a) 42 sq cm (b) 21 sq cm (c) 105 sq cm (d) 90 sq cm
- 29.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 30 sq cm (d) 24 sq cm
- 30.A rectangle has an area of 96 sq cm and a length of 16 cm. What is its width? (a) 7 cm (b) 12 cm (c) 6 cm (d) 80 cm
- 31.A rectangle is 13 cm long and 11 cm wide. What is its area? (a) 24 sq cm (b) 143 sq cm (c) 156 sq cm (d) 48 sq cm
- 32.A rectangle is 15 cm long and 12 cm wide. What is its area? (a) 195 sq cm (b) 180 sq cm (c) 27 sq cm (d) 54 sq cm
- 33.A rectangle is 10 cm long and 5 cm wide. What is its area? (a) 15 sq cm (b) 60 sq cm (c) 50 sq cm (d) 30 sq cm
- 34.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
- 35.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 26 sq cm (c) 196 sq cm (d) 169 sq cm
- 36.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 56 sq cm (b) 14 sq cm (c) 48 sq cm (d) 28 sq cm
- 37.A rectangle is 18 cm long and 4 cm wide. What is its area? (a) 72 sq cm (b) 90 sq cm (c) 44 sq cm (d) 22 sq cm
- 38.A rectangle is 16 cm long and 7 cm wide. What is its area? (a) 46 sq cm (b) 128 sq cm (c) 112 sq cm (d) 23 sq cm
- 39.A rectangle is 20 cm long and 2 cm wide. What is its area? (a) 60 sq cm (b) 40 sq cm (c) 22 sq cm (d) 44 sq cm
- 40.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 121 sq cm (c) 44 sq cm (d) 22 sq cm
Answer key
- 32 sq cm
- 81 sq cm
- 4 cm
- 18 cm
- 6 cm
- 225 sq cm
- 42 cm
- 22 cm
- 38 cm
- 9 cm
- 56 cm
- 36 sq cm
- 20 sq cm
- 18 sq cm
- 22 sq cm
- 58 cm
- 8 cm
- 120 sq cm
- 36 cm
- 2 cm
- 144 sq cm
- 24 cm
- 25 sq cm
- 11 cm
- 10 cm
- 22 cm
- 36 sq cm
- 90 sq cm
- 24 sq cm
- 6 cm
- 143 sq cm
- 180 sq cm
- 50 sq cm
- 104 sq cm
- 169 sq cm
- 48 sq cm
- 72 sq cm
- 112 sq cm
- 40 sq cm
- 121 sq cm
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