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 18 cm long and 12 cm wide. What is its area? (a) 216 sq cm (b) 60 sq cm (c) 30 sq cm (d) 234 sq cm
- 2.A rectangle is 19 cm long and 6 cm wide. What is its area? (a) 25 sq cm (b) 50 sq cm (c) 114 sq cm (d) 133 sq cm
- 3.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 144 sq cm (c) 22 sq cm (d) 121 sq cm
- 4.A rectangle has an area of 12 sq cm and a length of 6 cm. What is its width? (a) 6 cm (b) 4 cm (c) 3 cm (d) 2 cm
- 5.A rectangle is 15 cm long and 5 cm wide. What is its area? (a) 40 sq cm (b) 20 sq cm (c) 90 sq cm (d) 75 sq cm
- 6.A rectangle has an area of 45 sq cm and a length of 15 cm. What is its width? (a) 6 cm (b) 30 cm (c) 4 cm (d) 3 cm
- 7.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 100 sq cm (c) 81 sq cm (d) 18 sq cm
- 8.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 14 sq cm (b) 9 sq cm (c) 18 sq cm (d) 21 sq cm
- 9.A rectangle has an area of 165 sq cm and a length of 15 cm. What is its width? (a) 11 cm (b) 150 cm (c) 22 cm (d) 12 cm
- 10.A rectangle has an area of 154 sq cm and a length of 14 cm. What is its width? (a) 140 cm (b) 11 cm (c) 22 cm (d) 12 cm
- 11.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 64 sq cm (c) 28 sq cm (d) 49 sq cm
- 12.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 225 sq cm (c) 60 sq cm (d) 256 sq cm
- 13.A rectangle has an area of 21 sq cm and a length of 7 cm. What is its width? (a) 14 cm (b) 4 cm (c) 3 cm (d) 6 cm
- 14.A rectangle is 18 cm long and 10 cm wide. What is its perimeter? (a) 56 cm (b) 28 cm (c) 46 cm (d) 180 cm
- 15.A rectangle is 11 cm long and 5 cm wide. What is its area? (a) 32 sq cm (b) 66 sq cm (c) 55 sq cm (d) 16 sq cm
- 16.A rectangle has an area of 51 sq cm and a length of 17 cm. What is its width? (a) 3 cm (b) 6 cm (c) 4 cm (d) 34 cm
- 17.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 28 sq cm (c) 196 sq cm (d) 225 sq cm
- 18.A rectangle has an area of 70 sq cm and a length of 10 cm. What is its width? (a) 8 cm (b) 60 cm (c) 14 cm (d) 7 cm
- 19.A rectangle is 16 cm long and 5 cm wide. What is its area? (a) 80 sq cm (b) 21 sq cm (c) 96 sq cm (d) 42 sq cm
- 20.A rectangle is 8 cm long and 5 cm wide. What is its perimeter? (a) 26 cm (b) 21 cm (c) 13 cm (d) 40 cm
- 21.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
- 22.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 169 sq cm (c) 196 sq cm (d) 26 sq cm
- 23.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 10 cm (b) 18 cm (c) 16 cm (d) 20 cm
- 24.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 30 sq cm (b) 36 sq cm (c) 22 sq cm (d) 11 sq cm
- 25.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 22 cm (b) 11 cm (c) 24 cm (d) 19 cm
- 26.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 49 sq cm (c) 36 sq cm (d) 24 sq cm
- 27.A rectangle is 11 cm long and 2 cm wide. What is its area? (a) 13 sq cm (b) 26 sq cm (c) 22 sq cm (d) 33 sq cm
- 28.A rectangle has an area of 156 sq cm and a length of 13 cm. What is its width? (a) 143 cm (b) 13 cm (c) 24 cm (d) 12 cm
- 29.A rectangle is 11 cm long and 3 cm wide. What is its area? (a) 33 sq cm (b) 14 sq cm (c) 44 sq cm (d) 28 sq cm
- 30.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 10 sq cm (c) 25 sq cm (d) 20 sq cm
- 31.A rectangle is 20 cm long and 10 cm wide. What is its area? (a) 220 sq cm (b) 30 sq cm (c) 60 sq cm (d) 200 sq cm
- 32.A rectangle is 17 cm long and 7 cm wide. What is its area? (a) 136 sq cm (b) 24 sq cm (c) 48 sq cm (d) 119 sq cm
- 33.A rectangle is 18 cm long and 9 cm wide. What is its perimeter? (a) 27 cm (b) 54 cm (c) 45 cm (d) 162 cm
- 34.A rectangle is 10 cm long and 6 cm wide. What is its area? (a) 70 sq cm (b) 60 sq cm (c) 32 sq cm (d) 16 sq cm
- 35.A square has a perimeter of 48 cm. What is its area? (a) 144 sq cm (b) 169 sq cm (c) 24 sq cm (d) 48 sq cm
- 36.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 19 cm (b) 9 cm (c) 15 cm (d) 18 cm
- 37.A rectangle has an area of 6 sq cm and a length of 3 cm. What is its width? (a) 2 cm (b) 3 cm (c) 4 cm (d) 1 cm
- 38.A rectangle is 14 cm long and 12 cm wide. What is its area? (a) 168 sq cm (b) 26 sq cm (c) 52 sq cm (d) 182 sq cm
- 39.A square has a perimeter of 40 cm. What is its area? (a) 100 sq cm (b) 40 sq cm (c) 20 sq cm (d) 121 sq cm
- 40.A rectangle is 19 cm long and 4 cm wide. What is its area? (a) 95 sq cm (b) 46 sq cm (c) 76 sq cm (d) 23 sq cm
Answer key
- 216 sq cm
- 114 sq cm
- 121 sq cm
- 2 cm
- 75 sq cm
- 3 cm
- 81 sq cm
- 14 sq cm
- 11 cm
- 11 cm
- 49 sq cm
- 225 sq cm
- 3 cm
- 56 cm
- 55 sq cm
- 3 cm
- 196 sq cm
- 7 cm
- 80 sq cm
- 26 cm
- 6 cm
- 169 sq cm
- 20 cm
- 30 sq cm
- 22 cm
- 36 sq cm
- 22 sq cm
- 12 cm
- 33 sq cm
- 25 sq cm
- 200 sq cm
- 119 sq cm
- 54 cm
- 60 sq cm
- 144 sq cm
- 18 cm
- 2 cm
- 168 sq cm
- 100 sq cm
- 76 sq cm
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