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 19 cm long and 11 cm wide. What is its perimeter? (a) 49 cm (b) 60 cm (c) 30 cm (d) 209 cm
- 2.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) 3 cm (d) 4 cm
- 3.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
- 4.A rectangle is 20 cm long and 12 cm wide. What is its area? (a) 64 sq cm (b) 32 sq cm (c) 260 sq cm (d) 240 sq cm
- 5.A rectangle is 8 cm long and 7 cm wide. What is its perimeter? (a) 15 cm (b) 56 cm (c) 23 cm (d) 30 cm
- 6.A rectangle is 19 cm long and 9 cm wide. What is its perimeter? (a) 56 cm (b) 47 cm (c) 28 cm (d) 171 cm
- 7.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 225 sq cm (c) 30 sq cm (d) 256 sq cm
- 8.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 42 sq cm (b) 35 sq cm (c) 12 sq cm (d) 24 sq cm
- 9.A square has a perimeter of 32 cm. What is its area? (a) 64 sq cm (b) 81 sq cm (c) 16 sq cm (d) 32 sq cm
- 10.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 25 sq cm (c) 10 sq cm (d) 36 sq cm
- 11.A rectangle has an area of 6 sq cm and a length of 3 cm. What is its width? (a) 4 cm (b) 1 cm (c) 3 cm (d) 2 cm
- 12.A rectangle is 13 cm long and 5 cm wide. What is its area? (a) 36 sq cm (b) 18 sq cm (c) 78 sq cm (d) 65 sq cm
- 13.A rectangle has an area of 96 sq cm and a length of 12 cm. What is its width? (a) 9 cm (b) 16 cm (c) 8 cm (d) 84 cm
- 14.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
- 15.A rectangle is 18 cm long and 7 cm wide. What is its area? (a) 25 sq cm (b) 50 sq cm (c) 144 sq cm (d) 126 sq cm
- 16.A rectangle has an area of 104 sq cm and a length of 13 cm. What is its width? (a) 91 cm (b) 9 cm (c) 16 cm (d) 8 cm
- 17.A rectangle has an area of 117 sq cm and a length of 13 cm. What is its width? (a) 104 cm (b) 10 cm (c) 18 cm (d) 9 cm
- 18.A rectangle has an area of 60 sq cm and a length of 12 cm. What is its width? (a) 6 cm (b) 10 cm (c) 48 cm (d) 5 cm
- 19.A rectangle is 18 cm long and 8 cm wide. What is its area? (a) 162 sq cm (b) 144 sq cm (c) 26 sq cm (d) 52 sq cm
- 20.A rectangle has an area of 60 sq cm and a length of 10 cm. What is its width? (a) 6 cm (b) 50 cm (c) 7 cm (d) 12 cm
- 21.A rectangle is 14 cm long and 12 cm wide. What is its area? (a) 168 sq cm (b) 52 sq cm (c) 182 sq cm (d) 26 sq cm
- 22.A rectangle is 15 cm long and 6 cm wide. What is its perimeter? (a) 21 cm (b) 36 cm (c) 90 cm (d) 42 cm
- 23.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 20 cm (b) 21 cm (c) 10 cm (d) 17 cm
- 24.A rectangle is 17 cm long and 5 cm wide. What is its area? (a) 85 sq cm (b) 22 sq cm (c) 44 sq cm (d) 102 sq cm
- 25.A rectangle has an area of 48 sq cm and a length of 16 cm. What is its width? (a) 3 cm (b) 4 cm (c) 6 cm (d) 32 cm
- 26.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 9 sq cm (b) 18 sq cm (c) 14 sq cm (d) 21 sq cm
- 27.A rectangle has an area of 187 sq cm and a length of 17 cm. What is its width? (a) 12 cm (b) 170 cm (c) 11 cm (d) 22 cm
- 28.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 18 sq cm (c) 81 sq cm (d) 100 sq cm
- 29.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 9 cm (b) 19 cm (c) 18 cm (d) 15 cm
- 30.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 12 cm (b) 8 cm (c) 16 cm (d) 14 cm
- 31.A rectangle is 14 cm long and 3 cm wide. What is its area? (a) 56 sq cm (b) 17 sq cm (c) 34 sq cm (d) 42 sq cm
- 32.A rectangle is 10 cm long and 7 cm wide. What is its area? (a) 34 sq cm (b) 70 sq cm (c) 80 sq cm (d) 17 sq cm
- 33.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 20 cm (b) 10 cm (c) 16 cm (d) 18 cm
- 34.A rectangle has an area of 165 sq cm and a length of 15 cm. What is its width? (a) 22 cm (b) 150 cm (c) 12 cm (d) 11 cm
- 35.A rectangle is 12 cm long and 9 cm wide. What is its perimeter? (a) 42 cm (b) 108 cm (c) 33 cm (d) 21 cm
- 36.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 32 sq cm (b) 24 sq cm (c) 12 sq cm (d) 40 sq cm
- 37.A rectangle has an area of 24 sq cm and a length of 12 cm. What is its width? (a) 2 cm (b) 3 cm (c) 4 cm (d) 12 cm
- 38.A rectangle is 16 cm long and 5 cm wide. What is its perimeter? (a) 37 cm (b) 21 cm (c) 42 cm (d) 80 cm
- 39.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 36 sq cm (c) 49 sq cm (d) 24 sq cm
- 40.A rectangle is 15 cm long and 10 cm wide. What is its perimeter? (a) 25 cm (b) 150 cm (c) 40 cm (d) 50 cm
Answer key
- 60 cm
- 3 cm
- 30 sq cm
- 240 sq cm
- 30 cm
- 56 cm
- 225 sq cm
- 35 sq cm
- 64 sq cm
- 25 sq cm
- 2 cm
- 65 sq cm
- 8 cm
- 169 sq cm
- 126 sq cm
- 8 cm
- 9 cm
- 5 cm
- 144 sq cm
- 6 cm
- 168 sq cm
- 42 cm
- 20 cm
- 85 sq cm
- 3 cm
- 14 sq cm
- 11 cm
- 81 sq cm
- 18 cm
- 16 cm
- 42 sq cm
- 70 sq cm
- 20 cm
- 11 cm
- 42 cm
- 32 sq cm
- 2 cm
- 42 cm
- 36 sq cm
- 50 cm
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