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 52 cm. What is its area? (a) 26 sq cm (b) 52 sq cm (c) 196 sq cm (d) 169 sq cm
- 2.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 36 sq cm (c) 12 sq cm (d) 24 sq cm
- 3.A rectangle is 12 cm long and 10 cm wide. What is its perimeter? (a) 22 cm (b) 120 cm (c) 34 cm (d) 44 cm
- 4.A rectangle has an area of 154 sq cm and a length of 14 cm. What is its width? (a) 11 cm (b) 12 cm (c) 22 cm (d) 140 cm
- 5.A rectangle is 19 cm long and 7 cm wide. What is its area? (a) 133 sq cm (b) 152 sq cm (c) 52 sq cm (d) 26 sq cm
- 6.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 225 sq cm (c) 196 sq cm (d) 28 sq cm
- 7.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 10 cm (b) 21 cm (c) 17 cm (d) 20 cm
- 8.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 18 cm (b) 22 cm (c) 11 cm (d) 28 cm
- 9.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 100 sq cm (c) 121 sq cm (d) 40 sq cm
- 10.A rectangle is 10 cm long and 9 cm wide. What is its perimeter? (a) 90 cm (b) 38 cm (c) 29 cm (d) 19 cm
- 11.A rectangle is 20 cm long and 2 cm wide. What is its perimeter? (a) 22 cm (b) 40 cm (c) 42 cm (d) 44 cm
- 12.A rectangle is 12 cm long and 11 cm wide. What is its area? (a) 46 sq cm (b) 144 sq cm (c) 23 sq cm (d) 132 sq cm
- 13.A rectangle is 10 cm long and 4 cm wide. What is its perimeter? (a) 40 cm (b) 14 cm (c) 28 cm (d) 24 cm
- 14.A rectangle has an area of 54 sq cm and a length of 18 cm. What is its width? (a) 36 cm (b) 4 cm (c) 3 cm (d) 6 cm
- 15.A rectangle is 15 cm long and 4 cm wide. What is its perimeter? (a) 38 cm (b) 19 cm (c) 60 cm (d) 34 cm
- 16.A rectangle is 18 cm long and 4 cm wide. What is its area? (a) 72 sq cm (b) 22 sq cm (c) 90 sq cm (d) 44 sq cm
- 17.A rectangle has an area of 130 sq cm and a length of 13 cm. What is its width? (a) 117 cm (b) 10 cm (c) 20 cm (d) 11 cm
- 18.A rectangle is 20 cm long and 5 cm wide. What is its area? (a) 120 sq cm (b) 50 sq cm (c) 100 sq cm (d) 25 sq cm
- 19.A rectangle is 10 cm long and 7 cm wide. What is its perimeter? (a) 70 cm (b) 27 cm (c) 34 cm (d) 17 cm
- 20.A square has a perimeter of 28 cm. What is its area? (a) 49 sq cm (b) 14 sq cm (c) 28 sq cm (d) 64 sq cm
- 21.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
- 22.A rectangle is 12 cm long and 8 cm wide. What is its perimeter? (a) 40 cm (b) 32 cm (c) 20 cm (d) 96 cm
- 23.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 36 sq cm (c) 81 sq cm (d) 18 sq cm
- 24.A rectangle is 8 cm long and 6 cm wide. What is its perimeter? (a) 14 cm (b) 22 cm (c) 28 cm (d) 48 cm
- 25.A rectangle is 17 cm long and 7 cm wide. What is its area? (a) 48 sq cm (b) 119 sq cm (c) 24 sq cm (d) 136 sq cm
- 26.A rectangle is 15 cm long and 7 cm wide. What is its perimeter? (a) 105 cm (b) 22 cm (c) 44 cm (d) 37 cm
- 27.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 12 cm (b) 35 cm (c) 19 cm (d) 24 cm
- 28.A rectangle is 10 cm long and 5 cm wide. What is its perimeter? (a) 25 cm (b) 15 cm (c) 30 cm (d) 50 cm
- 29.A rectangle has an area of 240 sq cm and a length of 20 cm. What is its width? (a) 24 cm (b) 12 cm (c) 13 cm (d) 220 cm
- 30.A rectangle is 18 cm long and 5 cm wide. What is its perimeter? (a) 90 cm (b) 23 cm (c) 41 cm (d) 46 cm
- 31.A rectangle is 19 cm long and 4 cm wide. What is its perimeter? (a) 46 cm (b) 76 cm (c) 42 cm (d) 23 cm
- 32.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 22 sq cm (c) 121 sq cm (d) 44 sq cm
- 33.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 30 sq cm (c) 225 sq cm (d) 60 sq cm
- 34.A square has a perimeter of 32 cm. What is its area? (a) 64 sq cm (b) 81 sq cm (c) 16 sq cm (d) 32 sq cm
- 35.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 40 sq cm (b) 32 sq cm (c) 12 sq cm (d) 24 sq cm
- 36.A rectangle has an area of 96 sq cm and a length of 16 cm. What is its width? (a) 12 cm (b) 7 cm (c) 6 cm (d) 80 cm
- 37.A rectangle is 15 cm long and 8 cm wide. What is its perimeter? (a) 38 cm (b) 23 cm (c) 120 cm (d) 46 cm
- 38.A rectangle has an area of 65 sq cm and a length of 13 cm. What is its width? (a) 6 cm (b) 52 cm (c) 5 cm (d) 10 cm
- 39.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 24 sq cm (b) 20 sq cm (c) 30 sq cm (d) 10 sq cm
- 40.A rectangle is 15 cm long and 10 cm wide. What is its perimeter? (a) 150 cm (b) 40 cm (c) 25 cm (d) 50 cm
Answer key
- 169 sq cm
- 36 sq cm
- 44 cm
- 11 cm
- 133 sq cm
- 196 sq cm
- 20 cm
- 22 cm
- 100 sq cm
- 38 cm
- 44 cm
- 132 sq cm
- 28 cm
- 3 cm
- 38 cm
- 72 sq cm
- 10 cm
- 100 sq cm
- 34 cm
- 49 sq cm
- 16 sq cm
- 40 cm
- 81 sq cm
- 28 cm
- 119 sq cm
- 44 cm
- 24 cm
- 30 cm
- 12 cm
- 46 cm
- 46 cm
- 121 sq cm
- 225 sq cm
- 64 sq cm
- 32 sq cm
- 6 cm
- 46 cm
- 5 cm
- 24 sq cm
- 50 cm
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