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 has an area of 6 sq cm and a length of 3 cm. What is its width? (a) 4 cm (b) 3 cm (c) 2 cm (d) 1 cm
- 2.A rectangle is 13 cm long and 10 cm wide. What is its perimeter? (a) 23 cm (b) 130 cm (c) 36 cm (d) 46 cm
- 3.A rectangle is 16 cm long and 9 cm wide. What is its area? (a) 25 sq cm (b) 144 sq cm (c) 160 sq cm (d) 50 sq cm
- 4.A rectangle is 16 cm long and 4 cm wide. What is its area? (a) 40 sq cm (b) 80 sq cm (c) 20 sq cm (d) 64 sq cm
- 5.A rectangle is 10 cm long and 6 cm wide. What is its perimeter? (a) 60 cm (b) 16 cm (c) 32 cm (d) 26 cm
- 6.A rectangle is 19 cm long and 7 cm wide. What is its perimeter? (a) 26 cm (b) 133 cm (c) 52 cm (d) 45 cm
- 7.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 144 sq cm (c) 48 sq cm (d) 24 sq cm
- 8.A rectangle has an area of 90 sq cm and a length of 18 cm. What is its width? (a) 6 cm (b) 5 cm (c) 10 cm (d) 72 cm
- 9.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
- 10.A rectangle is 15 cm long and 2 cm wide. What is its area? (a) 45 sq cm (b) 17 sq cm (c) 34 sq cm (d) 30 sq cm
- 11.A rectangle is 16 cm long and 4 cm wide. What is its perimeter? (a) 20 cm (b) 40 cm (c) 64 cm (d) 36 cm
- 12.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 21 cm (b) 10 cm (c) 20 cm (d) 17 cm
- 13.A rectangle has an area of 112 sq cm and a length of 16 cm. What is its width? (a) 14 cm (b) 8 cm (c) 7 cm (d) 96 cm
- 14.A rectangle is 10 cm long and 2 cm wide. What is its perimeter? (a) 22 cm (b) 24 cm (c) 12 cm (d) 20 cm
- 15.A rectangle has an area of 154 sq cm and a length of 14 cm. What is its width? (a) 11 cm (b) 140 cm (c) 22 cm (d) 12 cm
- 16.A rectangle has an area of 60 sq cm and a length of 15 cm. What is its width? (a) 5 cm (b) 4 cm (c) 45 cm (d) 8 cm
- 17.A rectangle has an area of 180 sq cm and a length of 15 cm. What is its width? (a) 12 cm (b) 165 cm (c) 13 cm (d) 24 cm
- 18.A rectangle has an area of 160 sq cm and a length of 20 cm. What is its width? (a) 8 cm (b) 140 cm (c) 9 cm (d) 16 cm
- 19.A rectangle is 8 cm long and 5 cm wide. What is its area? (a) 40 sq cm (b) 48 sq cm (c) 26 sq cm (d) 13 sq cm
- 20.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
- 21.A rectangle is 10 cm long and 4 cm wide. What is its area? (a) 40 sq cm (b) 28 sq cm (c) 50 sq cm (d) 14 sq cm
- 22.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 18 sq cm (c) 100 sq cm (d) 81 sq cm
- 23.A rectangle is 14 cm long and 3 cm wide. What is its perimeter? (a) 34 cm (b) 31 cm (c) 17 cm (d) 42 cm
- 24.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
- 25.A rectangle has an area of 152 sq cm and a length of 19 cm. What is its width? (a) 16 cm (b) 9 cm (c) 133 cm (d) 8 cm
- 26.A rectangle is 12 cm long and 2 cm wide. What is its area? (a) 14 sq cm (b) 24 sq cm (c) 28 sq cm (d) 36 sq cm
- 27.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 8 sq cm (b) 12 sq cm (c) 16 sq cm (d) 18 sq cm
- 28.A rectangle is 9 cm long and 6 cm wide. What is its area? (a) 15 sq cm (b) 54 sq cm (c) 30 sq cm (d) 63 sq cm
- 29.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 22 sq cm (b) 36 sq cm (c) 30 sq cm (d) 11 sq cm
- 30.A rectangle has an area of 200 sq cm and a length of 20 cm. What is its width? (a) 180 cm (b) 10 cm (c) 11 cm (d) 20 cm
- 31.A rectangle has an area of 112 sq cm and a length of 14 cm. What is its width? (a) 9 cm (b) 98 cm (c) 8 cm (d) 16 cm
- 32.A rectangle is 13 cm long and 8 cm wide. What is its area? (a) 21 sq cm (b) 104 sq cm (c) 117 sq cm (d) 42 sq cm
- 33.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 18 cm (b) 14 cm (c) 9 cm (d) 16 cm
- 34.A rectangle is 17 cm long and 12 cm wide. What is its area? (a) 58 sq cm (b) 204 sq cm (c) 221 sq cm (d) 29 sq cm
- 35.A rectangle has an area of 80 sq cm and a length of 10 cm. What is its width? (a) 70 cm (b) 8 cm (c) 16 cm (d) 9 cm
- 36.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 28 sq cm (c) 49 sq cm (d) 64 sq cm
- 37.A rectangle is 13 cm long and 9 cm wide. What is its area? (a) 130 sq cm (b) 117 sq cm (c) 44 sq cm (d) 22 sq cm
- 38.A rectangle is 15 cm long and 10 cm wide. What is its perimeter? (a) 150 cm (b) 50 cm (c) 40 cm (d) 25 cm
- 39.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 256 sq cm (c) 60 sq cm (d) 225 sq cm
- 40.A rectangle is 20 cm long and 2 cm wide. What is its perimeter? (a) 22 cm (b) 40 cm (c) 44 cm (d) 42 cm
Answer key
- 2 cm
- 46 cm
- 144 sq cm
- 64 sq cm
- 32 cm
- 52 cm
- 144 sq cm
- 5 cm
- 64 sq cm
- 30 sq cm
- 40 cm
- 20 cm
- 7 cm
- 24 cm
- 11 cm
- 4 cm
- 12 cm
- 8 cm
- 40 sq cm
- 25 sq cm
- 40 sq cm
- 81 sq cm
- 34 cm
- 36 sq cm
- 8 cm
- 24 sq cm
- 12 sq cm
- 54 sq cm
- 30 sq cm
- 10 cm
- 8 cm
- 104 sq cm
- 18 cm
- 204 sq cm
- 8 cm
- 49 sq cm
- 117 sq cm
- 50 cm
- 225 sq cm
- 44 cm
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