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 40 cm. What is its area? (a) 40 sq cm (b) 20 sq cm (c) 121 sq cm (d) 100 sq cm
- 2.A rectangle is 12 cm long and 8 cm wide. What is its perimeter? (a) 40 cm (b) 20 cm (c) 96 cm (d) 32 cm
- 3.A rectangle has an area of 72 sq cm and a length of 18 cm. What is its width? (a) 54 cm (b) 8 cm (c) 5 cm (d) 4 cm
- 4.A rectangle is 15 cm long and 2 cm wide. What is its area? (a) 45 sq cm (b) 30 sq cm (c) 17 sq cm (d) 34 sq cm
- 5.A rectangle has an area of 18 sq cm and a length of 6 cm. What is its width? (a) 6 cm (b) 4 cm (c) 12 cm (d) 3 cm
- 6.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 25 sq cm (c) 36 sq cm (d) 20 sq cm
- 7.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 18 sq cm (c) 12 sq cm (d) 8 sq cm
- 8.A rectangle has an area of 35 sq cm and a length of 7 cm. What is its width? (a) 5 cm (b) 6 cm (c) 28 cm (d) 10 cm
- 9.A rectangle has an area of 63 sq cm and a length of 9 cm. What is its width? (a) 7 cm (b) 8 cm (c) 54 cm (d) 14 cm
- 10.A rectangle is 10 cm long and 5 cm wide. What is its area? (a) 60 sq cm (b) 15 sq cm (c) 50 sq cm (d) 30 sq cm
- 11.A rectangle is 18 cm long and 6 cm wide. What is its area? (a) 126 sq cm (b) 108 sq cm (c) 24 sq cm (d) 48 sq cm
- 12.A rectangle has an area of 60 sq cm and a length of 10 cm. What is its width? (a) 50 cm (b) 6 cm (c) 12 cm (d) 7 cm
- 13.A rectangle is 11 cm long and 9 cm wide. What is its perimeter? (a) 20 cm (b) 99 cm (c) 31 cm (d) 40 cm
- 14.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 16 sq cm (c) 64 sq cm (d) 32 sq cm
- 15.A rectangle is 8 cm long and 6 cm wide. What is its perimeter? (a) 14 cm (b) 28 cm (c) 22 cm (d) 48 cm
- 16.A rectangle has an area of 30 sq cm and a length of 6 cm. What is its width? (a) 24 cm (b) 10 cm (c) 6 cm (d) 5 cm
- 17.A rectangle is 13 cm long and 9 cm wide. What is its area? (a) 22 sq cm (b) 130 sq cm (c) 44 sq cm (d) 117 sq cm
- 18.A rectangle has an area of 220 sq cm and a length of 20 cm. What is its width? (a) 11 cm (b) 12 cm (c) 22 cm (d) 200 cm
- 19.A rectangle is 13 cm long and 11 cm wide. What is its perimeter? (a) 37 cm (b) 24 cm (c) 48 cm (d) 143 cm
- 20.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 36 sq cm (b) 22 sq cm (c) 30 sq cm (d) 11 sq cm
- 21.A rectangle is 13 cm long and 2 cm wide. What is its area? (a) 15 sq cm (b) 30 sq cm (c) 26 sq cm (d) 39 sq cm
- 22.A rectangle is 12 cm long and 10 cm wide. What is its area? (a) 120 sq cm (b) 44 sq cm (c) 132 sq cm (d) 22 sq cm
- 23.A rectangle has an area of 180 sq cm and a length of 18 cm. What is its width? (a) 162 cm (b) 11 cm (c) 20 cm (d) 10 cm
- 24.A rectangle is 9 cm long and 5 cm wide. What is its perimeter? (a) 45 cm (b) 23 cm (c) 14 cm (d) 28 cm
- 25.A rectangle has an area of 66 sq cm and a length of 11 cm. What is its width? (a) 6 cm (b) 55 cm (c) 7 cm (d) 12 cm
- 26.A rectangle has an area of 80 sq cm and a length of 10 cm. What is its width? (a) 70 cm (b) 16 cm (c) 9 cm (d) 8 cm
- 27.A rectangle is 15 cm long and 4 cm wide. What is its area? (a) 19 sq cm (b) 60 sq cm (c) 38 sq cm (d) 75 sq cm
- 28.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 144 sq cm (c) 24 sq cm (d) 48 sq cm
- 29.A rectangle is 17 cm long and 8 cm wide. What is its perimeter? (a) 25 cm (b) 50 cm (c) 42 cm (d) 136 cm
- 30.A rectangle is 17 cm long and 5 cm wide. What is its area? (a) 22 sq cm (b) 102 sq cm (c) 85 sq cm (d) 44 sq cm
- 31.A rectangle is 17 cm long and 6 cm wide. What is its perimeter? (a) 102 cm (b) 46 cm (c) 40 cm (d) 23 cm
- 32.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
- 33.A rectangle is 17 cm long and 4 cm wide. What is its perimeter? (a) 21 cm (b) 68 cm (c) 42 cm (d) 38 cm
- 34.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 144 sq cm (c) 121 sq cm (d) 44 sq cm
- 35.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 36 sq cm (c) 24 sq cm (d) 12 sq cm
- 36.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
- 37.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 56 sq cm (c) 225 sq cm (d) 196 sq cm
- 38.A rectangle is 13 cm long and 12 cm wide. What is its perimeter? (a) 50 cm (b) 38 cm (c) 25 cm (d) 156 cm
- 39.A rectangle is 15 cm long and 6 cm wide. What is its perimeter? (a) 42 cm (b) 36 cm (c) 21 cm (d) 90 cm
- 40.A rectangle has an area of 40 sq cm and a length of 10 cm. What is its width? (a) 5 cm (b) 8 cm (c) 30 cm (d) 4 cm
Answer key
- 100 sq cm
- 40 cm
- 4 cm
- 30 sq cm
- 3 cm
- 25 sq cm
- 12 sq cm
- 5 cm
- 7 cm
- 50 sq cm
- 108 sq cm
- 6 cm
- 40 cm
- 64 sq cm
- 28 cm
- 5 cm
- 117 sq cm
- 11 cm
- 48 cm
- 30 sq cm
- 26 sq cm
- 120 sq cm
- 10 cm
- 28 cm
- 6 cm
- 8 cm
- 60 sq cm
- 144 sq cm
- 50 cm
- 85 sq cm
- 46 cm
- 49 sq cm
- 42 cm
- 121 sq cm
- 36 sq cm
- 225 sq cm
- 196 sq cm
- 50 cm
- 42 cm
- 4 cm
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