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 32 cm. What is its area? (a) 81 sq cm (b) 16 sq cm (c) 64 sq cm (d) 32 sq cm
- 2.A rectangle is 16 cm long and 3 cm wide. What is its area? (a) 19 sq cm (b) 48 sq cm (c) 38 sq cm (d) 64 sq cm
- 3.A rectangle has an area of 95 sq cm and a length of 19 cm. What is its width? (a) 10 cm (b) 5 cm (c) 6 cm (d) 76 cm
- 4.A rectangle is 18 cm long and 10 cm wide. What is its area? (a) 198 sq cm (b) 180 sq cm (c) 56 sq cm (d) 28 sq cm
- 5.A square has a perimeter of 36 cm. What is its area? (a) 81 sq cm (b) 18 sq cm (c) 100 sq cm (d) 36 sq cm
- 6.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 20 sq cm (c) 25 sq cm (d) 10 sq cm
- 7.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
- 8.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 64 sq cm (c) 49 sq cm (d) 28 sq cm
- 9.A square has a perimeter of 40 cm. What is its area? (a) 100 sq cm (b) 121 sq cm (c) 40 sq cm (d) 20 sq cm
- 10.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
- 11.A rectangle is 11 cm long and 5 cm wide. What is its area? (a) 32 sq cm (b) 16 sq cm (c) 55 sq cm (d) 66 sq cm
- 12.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 35 sq cm (b) 11 sq cm (c) 22 sq cm (d) 28 sq cm
- 13.A rectangle is 9 cm long and 2 cm wide. What is its perimeter? (a) 20 cm (b) 11 cm (c) 22 cm (d) 18 cm
- 14.A rectangle has an area of 140 sq cm and a length of 20 cm. What is its width? (a) 14 cm (b) 120 cm (c) 8 cm (d) 7 cm
- 15.A rectangle is 18 cm long and 4 cm wide. What is its perimeter? (a) 22 cm (b) 40 cm (c) 72 cm (d) 44 cm
- 16.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
- 17.A square has a perimeter of 48 cm. What is its area? (a) 144 sq cm (b) 48 sq cm (c) 169 sq cm (d) 24 sq cm
- 18.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 26 sq cm (c) 169 sq cm (d) 52 sq cm
- 19.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
- 20.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 24 sq cm (c) 12 sq cm (d) 36 sq cm
- 21.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 17 cm (b) 30 cm (c) 11 cm (d) 22 cm
- 22.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) 220 cm (d) 13 cm
- 23.A rectangle is 15 cm long and 11 cm wide. What is its area? (a) 26 sq cm (b) 180 sq cm (c) 52 sq cm (d) 165 sq cm
- 24.A rectangle is 20 cm long and 7 cm wide. What is its perimeter? (a) 140 cm (b) 47 cm (c) 27 cm (d) 54 cm
- 25.A rectangle is 11 cm long and 9 cm wide. What is its perimeter? (a) 40 cm (b) 99 cm (c) 20 cm (d) 31 cm
- 26.A square has a perimeter of 44 cm. What is its area? (a) 121 sq cm (b) 144 sq cm (c) 44 sq cm (d) 22 sq cm
- 27.A rectangle is 12 cm long and 4 cm wide. What is its perimeter? (a) 48 cm (b) 16 cm (c) 32 cm (d) 28 cm
- 28.A rectangle is 12 cm long and 4 cm wide. What is its area? (a) 48 sq cm (b) 16 sq cm (c) 60 sq cm (d) 32 sq cm
- 29.A rectangle is 9 cm long and 7 cm wide. What is its perimeter? (a) 16 cm (b) 25 cm (c) 32 cm (d) 63 cm
- 30.A rectangle is 17 cm long and 9 cm wide. What is its area? (a) 26 sq cm (b) 170 sq cm (c) 52 sq cm (d) 153 sq cm
- 31.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 64 sq cm (b) 56 sq cm (c) 15 sq cm (d) 30 sq cm
- 32.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 19 sq cm (b) 9 sq cm (c) 24 sq cm (d) 18 sq cm
- 33.A rectangle has an area of 216 sq cm and a length of 18 cm. What is its width? (a) 24 cm (b) 198 cm (c) 13 cm (d) 12 cm
- 34.A rectangle has an area of 156 sq cm and a length of 13 cm. What is its width? (a) 13 cm (b) 12 cm (c) 143 cm (d) 24 cm
- 35.A rectangle is 19 cm long and 4 cm wide. What is its area? (a) 23 sq cm (b) 95 sq cm (c) 76 sq cm (d) 46 sq cm
- 36.A rectangle is 20 cm long and 2 cm wide. What is its area? (a) 22 sq cm (b) 40 sq cm (c) 44 sq cm (d) 60 sq cm
- 37.A rectangle has an area of 204 sq cm and a length of 17 cm. What is its width? (a) 13 cm (b) 12 cm (c) 187 cm (d) 24 cm
- 38.A rectangle is 8 cm long and 6 cm wide. What is its perimeter? (a) 48 cm (b) 28 cm (c) 22 cm (d) 14 cm
- 39.A rectangle is 13 cm long and 3 cm wide. What is its area? (a) 39 sq cm (b) 16 sq cm (c) 32 sq cm (d) 52 sq cm
- 40.A rectangle has an area of 8 sq cm and a length of 4 cm. What is its width? (a) 3 cm (b) 4 cm (c) 1 cm (d) 2 cm
Answer key
- 64 sq cm
- 48 sq cm
- 5 cm
- 180 sq cm
- 81 sq cm
- 25 sq cm
- 18 sq cm
- 49 sq cm
- 100 sq cm
- 20 cm
- 55 sq cm
- 28 sq cm
- 22 cm
- 7 cm
- 44 cm
- 9 cm
- 144 sq cm
- 169 sq cm
- 196 sq cm
- 36 sq cm
- 22 cm
- 12 cm
- 165 sq cm
- 54 cm
- 40 cm
- 121 sq cm
- 32 cm
- 48 sq cm
- 32 cm
- 153 sq cm
- 56 sq cm
- 18 sq cm
- 12 cm
- 12 cm
- 76 sq cm
- 40 sq cm
- 12 cm
- 28 cm
- 39 sq cm
- 2 cm
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