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 perimeter? (a) 24 cm (b) 20 cm (c) 32 cm (d) 12 cm
- 2.A rectangle is 15 cm long and 3 cm wide. What is its area? (a) 60 sq cm (b) 36 sq cm (c) 18 sq cm (d) 45 sq cm
- 3.A rectangle has an area of 110 sq cm and a length of 11 cm. What is its width? (a) 99 cm (b) 20 cm (c) 11 cm (d) 10 cm
- 4.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 144 sq cm (c) 169 sq cm (d) 48 sq cm
- 5.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 81 sq cm (c) 64 sq cm (d) 16 sq cm
- 6.A rectangle has an area of 68 sq cm and a length of 17 cm. What is its width? (a) 8 cm (b) 4 cm (c) 5 cm (d) 51 cm
- 7.A rectangle is 16 cm long and 7 cm wide. What is its perimeter? (a) 112 cm (b) 39 cm (c) 23 cm (d) 46 cm
- 8.A rectangle is 13 cm long and 6 cm wide. What is its perimeter? (a) 38 cm (b) 32 cm (c) 78 cm (d) 19 cm
- 9.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 52 sq cm (c) 169 sq cm (d) 26 sq cm
- 10.A rectangle is 11 cm long and 10 cm wide. What is its area? (a) 42 sq cm (b) 110 sq cm (c) 21 sq cm (d) 121 sq cm
- 11.A rectangle has an area of 51 sq cm and a length of 17 cm. What is its width? (a) 34 cm (b) 3 cm (c) 4 cm (d) 6 cm
- 12.A rectangle is 14 cm long and 7 cm wide. What is its perimeter? (a) 98 cm (b) 42 cm (c) 21 cm (d) 35 cm
- 13.A rectangle is 17 cm long and 10 cm wide. What is its area? (a) 54 sq cm (b) 170 sq cm (c) 27 sq cm (d) 187 sq cm
- 14.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 11 sq cm (b) 22 sq cm (c) 30 sq cm (d) 36 sq cm
- 15.A square has a perimeter of 40 cm. What is its area? (a) 100 sq cm (b) 20 sq cm (c) 40 sq cm (d) 121 sq cm
- 16.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 42 sq cm (b) 12 sq cm (c) 24 sq cm (d) 35 sq cm
- 17.A rectangle has an area of 200 sq cm and a length of 20 cm. What is its width? (a) 180 cm (b) 10 cm (c) 20 cm (d) 11 cm
- 18.A rectangle has an area of 50 sq cm and a length of 10 cm. What is its width? (a) 40 cm (b) 5 cm (c) 6 cm (d) 10 cm
- 19.A square has a perimeter of 36 cm. What is its area? (a) 81 sq cm (b) 18 sq cm (c) 36 sq cm (d) 100 sq cm
- 20.A rectangle is 20 cm long and 5 cm wide. What is its perimeter? (a) 100 cm (b) 45 cm (c) 50 cm (d) 25 cm
- 21.A square has a perimeter of 44 cm. What is its area? (a) 121 sq cm (b) 22 sq cm (c) 144 sq cm (d) 44 sq cm
- 22.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 60 sq cm (c) 225 sq cm (d) 256 sq cm
- 23.A rectangle has an area of 66 sq cm and a length of 11 cm. What is its width? (a) 12 cm (b) 6 cm (c) 7 cm (d) 55 cm
- 24.A rectangle is 20 cm long and 6 cm wide. What is its area? (a) 52 sq cm (b) 26 sq cm (c) 120 sq cm (d) 140 sq cm
- 25.A rectangle is 16 cm long and 8 cm wide. What is its area? (a) 128 sq cm (b) 24 sq cm (c) 48 sq cm (d) 144 sq cm
- 26.A rectangle is 10 cm long and 5 cm wide. What is its area? (a) 50 sq cm (b) 30 sq cm (c) 15 sq cm (d) 60 sq cm
- 27.A rectangle is 12 cm long and 4 cm wide. What is its area? (a) 32 sq cm (b) 60 sq cm (c) 16 sq cm (d) 48 sq cm
- 28.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 25 sq cm (c) 10 sq cm (d) 36 sq cm
- 29.A rectangle is 10 cm long and 4 cm wide. What is its perimeter? (a) 14 cm (b) 40 cm (c) 24 cm (d) 28 cm
- 30.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 49 sq cm (c) 14 sq cm (d) 64 sq cm
- 31.A rectangle has an area of 24 sq cm and a length of 6 cm. What is its width? (a) 5 cm (b) 8 cm (c) 18 cm (d) 4 cm
- 32.A rectangle is 12 cm long and 7 cm wide. What is its perimeter? (a) 84 cm (b) 31 cm (c) 38 cm (d) 19 cm
- 33.A rectangle is 17 cm long and 5 cm wide. What is its area? (a) 44 sq cm (b) 102 sq cm (c) 22 sq cm (d) 85 sq cm
- 34.A rectangle is 9 cm long and 6 cm wide. What is its area? (a) 63 sq cm (b) 54 sq cm (c) 30 sq cm (d) 15 sq cm
- 35.A rectangle has an area of 120 sq cm and a length of 12 cm. What is its width? (a) 11 cm (b) 20 cm (c) 10 cm (d) 108 cm
- 36.A rectangle has an area of 154 sq cm and a length of 14 cm. What is its width? (a) 140 cm (b) 22 cm (c) 11 cm (d) 12 cm
- 37.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 24 sq cm (b) 30 sq cm (c) 20 sq cm (d) 10 sq cm
- 38.A rectangle is 16 cm long and 5 cm wide. What is its area? (a) 80 sq cm (b) 42 sq cm (c) 96 sq cm (d) 21 sq cm
- 39.A rectangle has an area of 14 sq cm and a length of 7 cm. What is its width? (a) 7 cm (b) 4 cm (c) 2 cm (d) 3 cm
- 40.A rectangle has an area of 192 sq cm and a length of 16 cm. What is its width? (a) 24 cm (b) 176 cm (c) 12 cm (d) 13 cm
Answer key
- 24 cm
- 45 sq cm
- 10 cm
- 144 sq cm
- 64 sq cm
- 4 cm
- 46 cm
- 38 cm
- 169 sq cm
- 110 sq cm
- 3 cm
- 42 cm
- 170 sq cm
- 30 sq cm
- 100 sq cm
- 35 sq cm
- 10 cm
- 5 cm
- 81 sq cm
- 50 cm
- 121 sq cm
- 225 sq cm
- 6 cm
- 120 sq cm
- 128 sq cm
- 50 sq cm
- 48 sq cm
- 25 sq cm
- 28 cm
- 49 sq cm
- 4 cm
- 38 cm
- 85 sq cm
- 54 sq cm
- 10 cm
- 11 cm
- 24 sq cm
- 80 sq cm
- 2 cm
- 12 cm
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