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 60 cm. What is its area? (a) 256 sq cm (b) 60 sq cm (c) 225 sq cm (d) 30 sq cm
- 2.A rectangle has an area of 156 sq cm and a length of 13 cm. What is its width? (a) 12 cm (b) 143 cm (c) 13 cm (d) 24 cm
- 3.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 56 sq cm (b) 48 sq cm (c) 28 sq cm (d) 14 sq cm
- 4.A rectangle is 12 cm long and 9 cm wide. What is its area? (a) 21 sq cm (b) 120 sq cm (c) 108 sq cm (d) 42 sq cm
- 5.A rectangle has an area of 72 sq cm and a length of 18 cm. What is its width? (a) 8 cm (b) 5 cm (c) 4 cm (d) 54 cm
- 6.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 20 cm (b) 18 cm (c) 16 cm (d) 10 cm
- 7.A rectangle is 18 cm long and 9 cm wide. What is its area? (a) 180 sq cm (b) 27 sq cm (c) 54 sq cm (d) 162 sq cm
- 8.A rectangle is 16 cm long and 2 cm wide. What is its area? (a) 36 sq cm (b) 18 sq cm (c) 48 sq cm (d) 32 sq cm
- 9.A rectangle has an area of 112 sq cm and a length of 16 cm. What is its width? (a) 7 cm (b) 96 cm (c) 14 cm (d) 8 cm
- 10.A rectangle is 19 cm long and 3 cm wide. What is its perimeter? (a) 44 cm (b) 41 cm (c) 22 cm (d) 57 cm
- 11.A rectangle is 17 cm long and 9 cm wide. What is its area? (a) 52 sq cm (b) 170 sq cm (c) 26 sq cm (d) 153 sq cm
- 12.A rectangle is 11 cm long and 9 cm wide. What is its area? (a) 20 sq cm (b) 99 sq cm (c) 110 sq cm (d) 40 sq cm
- 13.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 22 sq cm (c) 144 sq cm (d) 121 sq cm
- 14.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 9 cm (b) 19 cm (c) 15 cm (d) 18 cm
- 15.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 100 sq cm (c) 18 sq cm (d) 81 sq cm
- 16.A rectangle is 10 cm long and 4 cm wide. What is its perimeter? (a) 40 cm (b) 24 cm (c) 14 cm (d) 28 cm
- 17.A rectangle is 17 cm long and 10 cm wide. What is its perimeter? (a) 170 cm (b) 54 cm (c) 44 cm (d) 27 cm
- 18.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 18 sq cm (b) 24 sq cm (c) 9 sq cm (d) 19 sq cm
- 19.A rectangle is 11 cm long and 4 cm wide. What is its perimeter? (a) 15 cm (b) 26 cm (c) 44 cm (d) 30 cm
- 20.A rectangle has an area of 136 sq cm and a length of 17 cm. What is its width? (a) 8 cm (b) 16 cm (c) 9 cm (d) 119 cm
- 21.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 22 sq cm (b) 11 sq cm (c) 24 sq cm (d) 32 sq cm
- 22.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 22 sq cm (b) 27 sq cm (c) 18 sq cm (d) 11 sq cm
- 23.A rectangle is 17 cm long and 11 cm wide. What is its area? (a) 56 sq cm (b) 204 sq cm (c) 28 sq cm (d) 187 sq cm
- 24.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 30 sq cm (b) 11 sq cm (c) 36 sq cm (d) 22 sq cm
- 25.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 196 sq cm (c) 225 sq cm (d) 56 sq cm
- 26.A rectangle has an area of 80 sq cm and a length of 10 cm. What is its width? (a) 8 cm (b) 16 cm (c) 70 cm (d) 9 cm
- 27.A rectangle has an area of 40 sq cm and a length of 8 cm. What is its width? (a) 32 cm (b) 10 cm (c) 6 cm (d) 5 cm
- 28.A rectangle is 11 cm long and 4 cm wide. What is its area? (a) 55 sq cm (b) 15 sq cm (c) 44 sq cm (d) 30 sq cm
- 29.A rectangle is 20 cm long and 11 cm wide. What is its perimeter? (a) 51 cm (b) 220 cm (c) 62 cm (d) 31 cm
- 30.A rectangle is 16 cm long and 4 cm wide. What is its area? (a) 20 sq cm (b) 40 sq cm (c) 64 sq cm (d) 80 sq cm
- 31.A rectangle is 14 cm long and 7 cm wide. What is its perimeter? (a) 98 cm (b) 35 cm (c) 21 cm (d) 42 cm
- 32.A rectangle is 14 cm long and 11 cm wide. What is its area? (a) 50 sq cm (b) 168 sq cm (c) 25 sq cm (d) 154 sq cm
- 33.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 21 sq cm (c) 9 sq cm (d) 14 sq cm
- 34.A rectangle is 10 cm long and 2 cm wide. What is its perimeter? (a) 20 cm (b) 12 cm (c) 22 cm (d) 24 cm
- 35.A rectangle is 18 cm long and 7 cm wide. What is its area? (a) 144 sq cm (b) 25 sq cm (c) 126 sq cm (d) 50 sq cm
- 36.A rectangle has an area of 160 sq cm and a length of 16 cm. What is its width? (a) 20 cm (b) 144 cm (c) 11 cm (d) 10 cm
- 37.A rectangle has an area of 20 sq cm and a length of 5 cm. What is its width? (a) 15 cm (b) 8 cm (c) 5 cm (d) 4 cm
- 38.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 64 sq cm (c) 32 sq cm (d) 16 sq cm
- 39.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
- 40.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 16 cm (b) 24 cm (c) 10 cm (d) 20 cm
Answer key
- 225 sq cm
- 12 cm
- 48 sq cm
- 108 sq cm
- 4 cm
- 20 cm
- 162 sq cm
- 32 sq cm
- 7 cm
- 44 cm
- 153 sq cm
- 99 sq cm
- 121 sq cm
- 18 cm
- 81 sq cm
- 28 cm
- 54 cm
- 18 sq cm
- 30 cm
- 8 cm
- 24 sq cm
- 18 sq cm
- 187 sq cm
- 30 sq cm
- 196 sq cm
- 8 cm
- 5 cm
- 44 sq cm
- 62 cm
- 64 sq cm
- 42 cm
- 154 sq cm
- 14 sq cm
- 24 cm
- 126 sq cm
- 10 cm
- 4 cm
- 64 sq cm
- 10 cm
- 20 cm
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