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 7 cm long and 4 cm wide. What is its perimeter? (a) 22 cm (b) 28 cm (c) 18 cm (d) 11 cm
- 2.A rectangle is 11 cm long and 9 cm wide. What is its area? (a) 110 sq cm (b) 40 sq cm (c) 99 sq cm (d) 20 sq cm
- 3.A rectangle is 15 cm long and 5 cm wide. What is its perimeter? (a) 75 cm (b) 35 cm (c) 40 cm (d) 20 cm
- 4.A rectangle has an area of 12 sq cm and a length of 4 cm. What is its width? (a) 6 cm (b) 8 cm (c) 3 cm (d) 4 cm
- 5.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 17 cm (b) 11 cm (c) 30 cm (d) 22 cm
- 6.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 169 sq cm (c) 48 sq cm (d) 144 sq cm
- 7.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 20 sq cm (c) 36 sq cm (d) 25 sq cm
- 8.A rectangle has an area of 144 sq cm and a length of 16 cm. What is its width? (a) 10 cm (b) 128 cm (c) 18 cm (d) 9 cm
- 9.A rectangle is 19 cm long and 6 cm wide. What is its area? (a) 25 sq cm (b) 114 sq cm (c) 133 sq cm (d) 50 sq cm
- 10.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 81 sq cm (c) 18 sq cm (d) 100 sq cm
- 11.A rectangle has an area of 30 sq cm and a length of 15 cm. What is its width? (a) 2 cm (b) 4 cm (c) 3 cm (d) 15 cm
- 12.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 11 sq cm (b) 22 sq cm (c) 18 sq cm (d) 27 sq cm
- 13.A rectangle has an area of 40 sq cm and a length of 10 cm. What is its width? (a) 4 cm (b) 30 cm (c) 8 cm (d) 5 cm
- 14.A rectangle is 9 cm long and 8 cm wide. What is its area? (a) 34 sq cm (b) 81 sq cm (c) 72 sq cm (d) 17 sq cm
- 15.A rectangle has an area of 40 sq cm and a length of 20 cm. What is its width? (a) 2 cm (b) 4 cm (c) 20 cm (d) 3 cm
- 16.A rectangle is 20 cm long and 10 cm wide. What is its area? (a) 200 sq cm (b) 30 sq cm (c) 60 sq cm (d) 220 sq cm
- 17.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 10 sq cm (b) 28 sq cm (c) 20 sq cm (d) 21 sq cm
- 18.A rectangle has an area of 10 sq cm and a length of 5 cm. What is its width? (a) 4 cm (b) 2 cm (c) 3 cm (d) 5 cm
- 19.A rectangle is 17 cm long and 11 cm wide. What is its area? (a) 28 sq cm (b) 187 sq cm (c) 56 sq cm (d) 204 sq cm
- 20.A rectangle is 10 cm long and 5 cm wide. What is its area? (a) 15 sq cm (b) 60 sq cm (c) 50 sq cm (d) 30 sq cm
- 21.A rectangle is 15 cm long and 10 cm wide. What is its perimeter? (a) 25 cm (b) 40 cm (c) 50 cm (d) 150 cm
- 22.A rectangle has an area of 117 sq cm and a length of 13 cm. What is its width? (a) 10 cm (b) 9 cm (c) 18 cm (d) 104 cm
- 23.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 9 cm (b) 19 cm (c) 15 cm (d) 18 cm
- 24.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 18 cm (b) 14 cm (c) 16 cm (d) 9 cm
- 25.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 36 sq cm (b) 45 sq cm (c) 13 sq cm (d) 26 sq cm
- 26.A rectangle has an area of 18 sq cm and a length of 6 cm. What is its width? (a) 12 cm (b) 6 cm (c) 4 cm (d) 3 cm
- 27.A rectangle has an area of 126 sq cm and a length of 18 cm. What is its width? (a) 8 cm (b) 108 cm (c) 14 cm (d) 7 cm
- 28.A rectangle is 18 cm long and 11 cm wide. What is its area? (a) 216 sq cm (b) 58 sq cm (c) 198 sq cm (d) 29 sq cm
- 29.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 225 sq cm (c) 196 sq cm (d) 56 sq cm
- 30.A rectangle is 10 cm long and 9 cm wide. What is its perimeter? (a) 38 cm (b) 19 cm (c) 90 cm (d) 29 cm
- 31.A rectangle is 9 cm long and 6 cm wide. What is its area? (a) 63 sq cm (b) 15 sq cm (c) 54 sq cm (d) 30 sq cm
- 32.A rectangle is 12 cm long and 5 cm wide. What is its area? (a) 17 sq cm (b) 34 sq cm (c) 72 sq cm (d) 60 sq cm
- 33.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 24 cm (b) 16 cm (c) 20 cm (d) 10 cm
- 34.A rectangle has an area of 90 sq cm and a length of 10 cm. What is its width? (a) 18 cm (b) 10 cm (c) 9 cm (d) 80 cm
- 35.A rectangle has an area of 140 sq cm and a length of 14 cm. What is its width? (a) 20 cm (b) 11 cm (c) 126 cm (d) 10 cm
- 36.A rectangle has an area of 42 sq cm and a length of 14 cm. What is its width? (a) 6 cm (b) 28 cm (c) 4 cm (d) 3 cm
- 37.A rectangle is 15 cm long and 3 cm wide. What is its perimeter? (a) 36 cm (b) 18 cm (c) 45 cm (d) 33 cm
- 38.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 40 sq cm (b) 24 sq cm (c) 32 sq cm (d) 12 sq cm
- 39.A rectangle has an area of 88 sq cm and a length of 11 cm. What is its width? (a) 16 cm (b) 77 cm (c) 8 cm (d) 9 cm
- 40.A rectangle is 14 cm long and 9 cm wide. What is its area? (a) 23 sq cm (b) 46 sq cm (c) 126 sq cm (d) 140 sq cm
Answer key
- 22 cm
- 99 sq cm
- 40 cm
- 3 cm
- 22 cm
- 144 sq cm
- 25 sq cm
- 9 cm
- 114 sq cm
- 81 sq cm
- 2 cm
- 18 sq cm
- 4 cm
- 72 sq cm
- 2 cm
- 200 sq cm
- 21 sq cm
- 2 cm
- 187 sq cm
- 50 sq cm
- 50 cm
- 9 cm
- 18 cm
- 18 cm
- 36 sq cm
- 3 cm
- 7 cm
- 198 sq cm
- 196 sq cm
- 38 cm
- 54 sq cm
- 60 sq cm
- 20 cm
- 9 cm
- 10 cm
- 3 cm
- 36 cm
- 32 sq cm
- 8 cm
- 126 sq cm
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