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 20 cm. What is its area? (a) 25 sq cm (b) 10 sq cm (c) 36 sq cm (d) 20 sq cm
- 2.A rectangle is 20 cm long and 10 cm wide. What is its perimeter? (a) 50 cm (b) 30 cm (c) 60 cm (d) 200 cm
- 3.A rectangle is 17 cm long and 9 cm wide. What is its perimeter? (a) 26 cm (b) 153 cm (c) 43 cm (d) 52 cm
- 4.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
- 5.A rectangle is 20 cm long and 8 cm wide. What is its perimeter? (a) 56 cm (b) 160 cm (c) 28 cm (d) 48 cm
- 6.A rectangle is 8 cm long and 5 cm wide. What is its area? (a) 26 sq cm (b) 48 sq cm (c) 13 sq cm (d) 40 sq cm
- 7.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 28 sq cm (b) 35 sq cm (c) 11 sq cm (d) 22 sq cm
- 8.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
- 9.A rectangle has an area of 30 sq cm and a length of 6 cm. What is its width? (a) 10 cm (b) 6 cm (c) 5 cm (d) 24 cm
- 10.A rectangle has an area of 187 sq cm and a length of 17 cm. What is its width? (a) 12 cm (b) 11 cm (c) 170 cm (d) 22 cm
- 11.A rectangle is 16 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 36 sq cm (c) 48 sq cm (d) 32 sq cm
- 12.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
- 13.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 11 sq cm (b) 22 sq cm (c) 24 sq cm (d) 32 sq cm
- 14.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 81 sq cm (c) 18 sq cm (d) 36 sq cm
- 15.A rectangle has an area of 18 sq cm and a length of 9 cm. What is its width? (a) 9 cm (b) 2 cm (c) 3 cm (d) 4 cm
- 16.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 20 sq cm (c) 40 sq cm (d) 100 sq cm
- 17.A rectangle is 19 cm long and 7 cm wide. What is its perimeter? (a) 52 cm (b) 26 cm (c) 45 cm (d) 133 cm
- 18.A rectangle is 20 cm long and 5 cm wide. What is its area? (a) 25 sq cm (b) 100 sq cm (c) 50 sq cm (d) 120 sq cm
- 19.A rectangle is 17 cm long and 5 cm wide. What is its perimeter? (a) 39 cm (b) 22 cm (c) 85 cm (d) 44 cm
- 20.A rectangle is 15 cm long and 9 cm wide. What is its area? (a) 150 sq cm (b) 24 sq cm (c) 135 sq cm (d) 48 sq cm
- 21.A rectangle is 11 cm long and 2 cm wide. What is its perimeter? (a) 26 cm (b) 22 cm (c) 13 cm (d) 24 cm
- 22.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 56 sq cm (d) 48 sq cm
- 23.A rectangle has an area of 120 sq cm and a length of 20 cm. What is its width? (a) 12 cm (b) 6 cm (c) 7 cm (d) 100 cm
- 24.A rectangle has an area of 44 sq cm and a length of 11 cm. What is its width? (a) 8 cm (b) 4 cm (c) 33 cm (d) 5 cm
- 25.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
- 26.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
- 27.A rectangle has an area of 112 sq cm and a length of 14 cm. What is its width? (a) 8 cm (b) 9 cm (c) 16 cm (d) 98 cm
- 28.A rectangle is 18 cm long and 4 cm wide. What is its area? (a) 44 sq cm (b) 90 sq cm (c) 22 sq cm (d) 72 sq cm
- 29.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 36 sq cm (c) 12 sq cm (d) 49 sq cm
- 30.A rectangle is 13 cm long and 11 cm wide. What is its area? (a) 143 sq cm (b) 156 sq cm (c) 24 sq cm (d) 48 sq cm
- 31.A rectangle is 13 cm long and 10 cm wide. What is its area? (a) 46 sq cm (b) 23 sq cm (c) 130 sq cm (d) 143 sq cm
- 32.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
- 33.A rectangle is 10 cm long and 4 cm wide. What is its area? (a) 40 sq cm (b) 50 sq cm (c) 14 sq cm (d) 28 sq cm
- 34.A rectangle is 13 cm long and 12 cm wide. What is its perimeter? (a) 25 cm (b) 38 cm (c) 50 cm (d) 156 cm
- 35.A rectangle is 12 cm long and 4 cm wide. What is its area? (a) 48 sq cm (b) 16 sq cm (c) 32 sq cm (d) 60 sq cm
- 36.A rectangle has an area of 28 sq cm and a length of 14 cm. What is its width? (a) 14 cm (b) 2 cm (c) 3 cm (d) 4 cm
- 37.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 44 sq cm (c) 144 sq cm (d) 121 sq cm
- 38.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 14 sq cm (b) 18 sq cm (c) 21 sq cm (d) 9 sq cm
- 39.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 20 cm (b) 13 cm (c) 42 cm (d) 26 cm
- 40.A rectangle is 20 cm long and 10 cm wide. What is its area? (a) 60 sq cm (b) 220 sq cm (c) 30 sq cm (d) 200 sq cm
Answer key
- 25 sq cm
- 60 cm
- 52 cm
- 49 sq cm
- 56 cm
- 40 sq cm
- 28 sq cm
- 48 sq cm
- 5 cm
- 11 cm
- 32 sq cm
- 169 sq cm
- 24 sq cm
- 81 sq cm
- 2 cm
- 100 sq cm
- 52 cm
- 100 sq cm
- 44 cm
- 135 sq cm
- 26 cm
- 48 sq cm
- 6 cm
- 4 cm
- 2 cm
- 64 sq cm
- 8 cm
- 72 sq cm
- 36 sq cm
- 143 sq cm
- 130 sq cm
- 60 sq cm
- 40 sq cm
- 50 cm
- 48 sq cm
- 2 cm
- 121 sq cm
- 14 sq cm
- 26 cm
- 200 sq cm
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