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 10 cm long and 3 cm wide. What is its area? (a) 30 sq cm (b) 40 sq cm (c) 26 sq cm (d) 13 sq cm
- 2.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 60 sq cm (c) 256 sq cm (d) 225 sq cm
- 3.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 44 sq cm (c) 121 sq cm (d) 22 sq cm
- 4.A rectangle is 20 cm long and 5 cm wide. What is its perimeter? (a) 25 cm (b) 50 cm (c) 100 cm (d) 45 cm
- 5.A rectangle is 11 cm long and 10 cm wide. What is its perimeter? (a) 42 cm (b) 110 cm (c) 21 cm (d) 32 cm
- 6.A rectangle has an area of 110 sq cm and a length of 11 cm. What is its width? (a) 99 cm (b) 11 cm (c) 20 cm (d) 10 cm
- 7.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 40 sq cm (c) 100 sq cm (d) 121 sq cm
- 8.A rectangle has an area of 14 sq cm and a length of 7 cm. What is its width? (a) 2 cm (b) 3 cm (c) 7 cm (d) 4 cm
- 9.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 9 cm (b) 18 cm (c) 16 cm (d) 14 cm
- 10.A rectangle is 18 cm long and 9 cm wide. What is its perimeter? (a) 54 cm (b) 162 cm (c) 27 cm (d) 45 cm
- 11.A rectangle has an area of 48 sq cm and a length of 16 cm. What is its width? (a) 32 cm (b) 3 cm (c) 4 cm (d) 6 cm
- 12.A rectangle has an area of 99 sq cm and a length of 11 cm. What is its width? (a) 10 cm (b) 88 cm (c) 18 cm (d) 9 cm
- 13.A rectangle has an area of 24 sq cm and a length of 6 cm. What is its width? (a) 8 cm (b) 4 cm (c) 18 cm (d) 5 cm
- 14.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 49 sq cm (c) 14 sq cm (d) 28 sq cm
- 15.A rectangle is 12 cm long and 11 cm wide. What is its area? (a) 23 sq cm (b) 46 sq cm (c) 144 sq cm (d) 132 sq cm
- 16.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 36 sq cm (c) 20 sq cm (d) 25 sq cm
- 17.A rectangle is 14 cm long and 6 cm wide. What is its perimeter? (a) 40 cm (b) 20 cm (c) 34 cm (d) 84 cm
- 18.A rectangle is 10 cm long and 7 cm wide. What is its area? (a) 70 sq cm (b) 80 sq cm (c) 34 sq cm (d) 17 sq cm
- 19.A rectangle has an area of 187 sq cm and a length of 17 cm. What is its width? (a) 170 cm (b) 22 cm (c) 12 cm (d) 11 cm
- 20.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
- 21.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 48 sq cm (c) 169 sq cm (d) 144 sq cm
- 22.A rectangle is 9 cm long and 6 cm wide. What is its area? (a) 15 sq cm (b) 30 sq cm (c) 63 sq cm (d) 54 sq cm
- 23.A rectangle has an area of 40 sq cm and a length of 20 cm. What is its width? (a) 4 cm (b) 20 cm (c) 2 cm (d) 3 cm
- 24.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 32 sq cm (c) 81 sq cm (d) 64 sq cm
- 25.A rectangle is 11 cm long and 2 cm wide. What is its area? (a) 26 sq cm (b) 33 sq cm (c) 13 sq cm (d) 22 sq cm
- 26.A rectangle is 17 cm long and 2 cm wide. What is its perimeter? (a) 19 cm (b) 34 cm (c) 36 cm (d) 38 cm
- 27.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 26 sq cm (c) 169 sq cm (d) 196 sq cm
- 28.A rectangle is 20 cm long and 6 cm wide. What is its area? (a) 52 sq cm (b) 26 sq cm (c) 140 sq cm (d) 120 sq cm
- 29.A rectangle has an area of 168 sq cm and a length of 14 cm. What is its width? (a) 154 cm (b) 24 cm (c) 13 cm (d) 12 cm
- 30.A rectangle has an area of 117 sq cm and a length of 13 cm. What is its width? (a) 9 cm (b) 104 cm (c) 10 cm (d) 18 cm
- 31.A rectangle has an area of 85 sq cm and a length of 17 cm. What is its width? (a) 10 cm (b) 5 cm (c) 68 cm (d) 6 cm
- 32.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 24 sq cm (c) 49 sq cm (d) 36 sq cm
- 33.A rectangle has an area of 119 sq cm and a length of 17 cm. What is its width? (a) 14 cm (b) 7 cm (c) 8 cm (d) 102 cm
- 34.A rectangle is 11 cm long and 3 cm wide. What is its perimeter? (a) 14 cm (b) 28 cm (c) 25 cm (d) 33 cm
- 35.A rectangle has an area of 72 sq cm and a length of 18 cm. What is its width? (a) 5 cm (b) 54 cm (c) 8 cm (d) 4 cm
- 36.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 11 sq cm (b) 27 sq cm (c) 22 sq cm (d) 18 sq cm
- 37.A rectangle is 16 cm long and 11 cm wide. What is its area? (a) 176 sq cm (b) 27 sq cm (c) 192 sq cm (d) 54 sq cm
- 38.A rectangle has an area of 180 sq cm and a length of 20 cm. What is its width? (a) 18 cm (b) 160 cm (c) 10 cm (d) 9 cm
- 39.A rectangle is 17 cm long and 9 cm wide. What is its area? (a) 153 sq cm (b) 26 sq cm (c) 52 sq cm (d) 170 sq cm
- 40.A rectangle is 19 cm long and 10 cm wide. What is its area? (a) 58 sq cm (b) 29 sq cm (c) 190 sq cm (d) 209 sq cm
Answer key
- 30 sq cm
- 225 sq cm
- 121 sq cm
- 50 cm
- 42 cm
- 10 cm
- 100 sq cm
- 2 cm
- 18 cm
- 54 cm
- 3 cm
- 9 cm
- 4 cm
- 49 sq cm
- 132 sq cm
- 25 sq cm
- 40 cm
- 70 sq cm
- 11 cm
- 24 cm
- 144 sq cm
- 54 sq cm
- 2 cm
- 64 sq cm
- 22 sq cm
- 38 cm
- 169 sq cm
- 120 sq cm
- 12 cm
- 9 cm
- 5 cm
- 36 sq cm
- 7 cm
- 28 cm
- 4 cm
- 18 sq cm
- 176 sq cm
- 9 cm
- 153 sq cm
- 190 sq cm
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