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 8 cm long and 2 cm wide. What is its perimeter? (a) 18 cm (b) 10 cm (c) 20 cm (d) 16 cm
- 2.A rectangle is 20 cm long and 5 cm wide. What is its area? (a) 120 sq cm (b) 50 sq cm (c) 100 sq cm (d) 25 sq cm
- 3.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 56 sq cm (c) 225 sq cm (d) 196 sq cm
- 4.A rectangle has an area of 99 sq cm and a length of 11 cm. What is its width? (a) 18 cm (b) 88 cm (c) 9 cm (d) 10 cm
- 5.A rectangle is 18 cm long and 10 cm wide. What is its perimeter? (a) 56 cm (b) 46 cm (c) 28 cm (d) 180 cm
- 6.A rectangle has an area of 85 sq cm and a length of 17 cm. What is its width? (a) 6 cm (b) 10 cm (c) 5 cm (d) 68 cm
- 7.A rectangle has an area of 96 sq cm and a length of 16 cm. What is its width? (a) 80 cm (b) 12 cm (c) 6 cm (d) 7 cm
- 8.A rectangle is 8 cm long and 5 cm wide. What is its perimeter? (a) 26 cm (b) 21 cm (c) 40 cm (d) 13 cm
- 9.A rectangle is 11 cm long and 2 cm wide. What is its perimeter? (a) 22 cm (b) 24 cm (c) 26 cm (d) 13 cm
- 10.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 10 sq cm (b) 20 sq cm (c) 24 sq cm (d) 16 sq cm
- 11.A rectangle has an area of 12 sq cm and a length of 6 cm. What is its width? (a) 3 cm (b) 4 cm (c) 6 cm (d) 2 cm
- 12.A rectangle is 20 cm long and 6 cm wide. What is its perimeter? (a) 46 cm (b) 26 cm (c) 52 cm (d) 120 cm
- 13.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 24 sq cm (c) 36 sq cm (d) 49 sq cm
- 14.A rectangle has an area of 40 sq cm and a length of 20 cm. What is its width? (a) 3 cm (b) 2 cm (c) 20 cm (d) 4 cm
- 15.A rectangle has an area of 88 sq cm and a length of 11 cm. What is its width? (a) 8 cm (b) 16 cm (c) 9 cm (d) 77 cm
- 16.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 28 sq cm (c) 49 sq cm (d) 14 sq cm
- 17.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 26 sq cm (c) 52 sq cm (d) 169 sq cm
- 18.A rectangle has an area of 48 sq cm and a length of 8 cm. What is its width? (a) 40 cm (b) 6 cm (c) 12 cm (d) 7 cm
- 19.A rectangle is 18 cm long and 4 cm wide. What is its area? (a) 44 sq cm (b) 72 sq cm (c) 90 sq cm (d) 22 sq cm
- 20.A rectangle is 12 cm long and 6 cm wide. What is its area? (a) 36 sq cm (b) 72 sq cm (c) 18 sq cm (d) 84 sq cm
- 21.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 10 cm (b) 24 cm (c) 20 cm (d) 16 cm
- 22.A rectangle is 18 cm long and 6 cm wide. What is its area? (a) 108 sq cm (b) 126 sq cm (c) 48 sq cm (d) 24 sq cm
- 23.A rectangle has an area of 135 sq cm and a length of 15 cm. What is its width? (a) 120 cm (b) 9 cm (c) 10 cm (d) 18 cm
- 24.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 40 sq cm (c) 20 sq cm (d) 100 sq cm
- 25.A rectangle is 11 cm long and 4 cm wide. What is its perimeter? (a) 44 cm (b) 15 cm (c) 30 cm (d) 26 cm
- 26.A rectangle has an area of 216 sq cm and a length of 18 cm. What is its width? (a) 12 cm (b) 24 cm (c) 13 cm (d) 198 cm
- 27.A rectangle is 20 cm long and 10 cm wide. What is its perimeter? (a) 200 cm (b) 60 cm (c) 50 cm (d) 30 cm
- 28.A rectangle is 12 cm long and 3 cm wide. What is its area? (a) 15 sq cm (b) 30 sq cm (c) 48 sq cm (d) 36 sq cm
- 29.A rectangle is 10 cm long and 4 cm wide. What is its area? (a) 14 sq cm (b) 28 sq cm (c) 40 sq cm (d) 50 sq cm
- 30.A rectangle is 15 cm long and 11 cm wide. What is its perimeter? (a) 41 cm (b) 26 cm (c) 52 cm (d) 165 cm
- 31.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 12 sq cm (c) 36 sq cm (d) 27 sq cm
- 32.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 36 sq cm (c) 20 sq cm (d) 10 sq cm
- 33.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 18 cm (b) 9 cm (c) 19 cm (d) 15 cm
- 34.A rectangle is 13 cm long and 2 cm wide. What is its area? (a) 15 sq cm (b) 26 sq cm (c) 30 sq cm (d) 39 sq cm
- 35.A rectangle is 10 cm long and 6 cm wide. What is its area? (a) 32 sq cm (b) 16 sq cm (c) 60 sq cm (d) 70 sq cm
- 36.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 121 sq cm (c) 22 sq cm (d) 44 sq cm
- 37.A rectangle is 10 cm long and 2 cm wide. What is its perimeter? (a) 24 cm (b) 22 cm (c) 20 cm (d) 12 cm
- 38.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
- 39.A rectangle is 11 cm long and 3 cm wide. What is its area? (a) 28 sq cm (b) 44 sq cm (c) 14 sq cm (d) 33 sq cm
- 40.A rectangle is 14 cm long and 4 cm wide. What is its area? (a) 70 sq cm (b) 18 sq cm (c) 36 sq cm (d) 56 sq cm
Answer key
- 20 cm
- 100 sq cm
- 196 sq cm
- 9 cm
- 56 cm
- 5 cm
- 6 cm
- 26 cm
- 26 cm
- 16 sq cm
- 2 cm
- 52 cm
- 36 sq cm
- 2 cm
- 8 cm
- 49 sq cm
- 169 sq cm
- 6 cm
- 72 sq cm
- 72 sq cm
- 20 cm
- 108 sq cm
- 9 cm
- 100 sq cm
- 30 cm
- 12 cm
- 60 cm
- 36 sq cm
- 40 sq cm
- 52 cm
- 27 sq cm
- 25 sq cm
- 18 cm
- 26 sq cm
- 60 sq cm
- 121 sq cm
- 24 cm
- 32 cm
- 33 sq cm
- 56 sq cm
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