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 60 sq cm and a length of 10 cm. What is its width? (a) 50 cm (b) 7 cm (c) 12 cm (d) 6 cm
- 2.A rectangle has an area of 30 sq cm and a length of 10 cm. What is its width? (a) 20 cm (b) 6 cm (c) 3 cm (d) 4 cm
- 3.A rectangle has an area of 176 sq cm and a length of 16 cm. What is its width? (a) 160 cm (b) 22 cm (c) 12 cm (d) 11 cm
- 4.A square has a perimeter of 28 cm. What is its area? (a) 49 sq cm (b) 28 sq cm (c) 14 sq cm (d) 64 sq cm
- 5.A rectangle is 17 cm long and 7 cm wide. What is its area? (a) 48 sq cm (b) 136 sq cm (c) 24 sq cm (d) 119 sq cm
- 6.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 10 cm (b) 20 cm (c) 24 cm (d) 16 cm
- 7.A rectangle is 17 cm long and 10 cm wide. What is its area? (a) 187 sq cm (b) 170 sq cm (c) 27 sq cm (d) 54 sq cm
- 8.A rectangle has an area of 165 sq cm and a length of 15 cm. What is its width? (a) 12 cm (b) 150 cm (c) 11 cm (d) 22 cm
- 9.A rectangle is 19 cm long and 10 cm wide. What is its area? (a) 58 sq cm (b) 190 sq cm (c) 29 sq cm (d) 209 sq cm
- 10.A rectangle is 17 cm long and 5 cm wide. What is its perimeter? (a) 39 cm (b) 85 cm (c) 44 cm (d) 22 cm
- 11.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 49 sq cm (c) 36 sq cm (d) 12 sq cm
- 12.A rectangle is 20 cm long and 3 cm wide. What is its area? (a) 80 sq cm (b) 60 sq cm (c) 46 sq cm (d) 23 sq cm
- 13.A rectangle is 15 cm long and 9 cm wide. What is its area? (a) 48 sq cm (b) 135 sq cm (c) 150 sq cm (d) 24 sq cm
- 14.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 27 sq cm (b) 24 sq cm (c) 36 sq cm (d) 12 sq cm
- 15.A rectangle is 8 cm long and 4 cm wide. What is its perimeter? (a) 32 cm (b) 20 cm (c) 12 cm (d) 24 cm
- 16.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 24 sq cm (d) 30 sq cm
- 17.A rectangle has an area of 18 sq cm and a length of 6 cm. What is its width? (a) 4 cm (b) 12 cm (c) 6 cm (d) 3 cm
- 18.A square has a perimeter of 52 cm. What is its area? (a) 26 sq cm (b) 169 sq cm (c) 196 sq cm (d) 52 sq cm
- 19.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 30 sq cm (c) 60 sq cm (d) 225 sq cm
- 20.A rectangle has an area of 64 sq cm and a length of 16 cm. What is its width? (a) 48 cm (b) 5 cm (c) 8 cm (d) 4 cm
- 21.A rectangle has an area of 39 sq cm and a length of 13 cm. What is its width? (a) 3 cm (b) 6 cm (c) 26 cm (d) 4 cm
- 22.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 22 sq cm (b) 27 sq cm (c) 18 sq cm (d) 11 sq cm
- 23.A rectangle is 12 cm long and 8 cm wide. What is its perimeter? (a) 20 cm (b) 40 cm (c) 32 cm (d) 96 cm
- 24.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 42 sq cm (b) 49 sq cm (c) 13 sq cm (d) 26 sq cm
- 25.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 40 sq cm (c) 100 sq cm (d) 20 sq cm
- 26.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 28 sq cm (b) 10 sq cm (c) 21 sq cm (d) 20 sq cm
- 27.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) 9 cm (d) 18 cm
- 28.A square has a perimeter of 36 cm. What is its area? (a) 81 sq cm (b) 36 sq cm (c) 100 sq cm (d) 18 sq cm
- 29.A rectangle is 19 cm long and 3 cm wide. What is its area? (a) 76 sq cm (b) 44 sq cm (c) 22 sq cm (d) 57 sq cm
- 30.A rectangle has an area of 108 sq cm and a length of 12 cm. What is its width? (a) 10 cm (b) 96 cm (c) 18 cm (d) 9 cm
- 31.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 11 cm (b) 17 cm (c) 30 cm (d) 22 cm
- 32.A rectangle is 12 cm long and 6 cm wide. What is its perimeter? (a) 18 cm (b) 36 cm (c) 30 cm (d) 72 cm
- 33.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 196 sq cm (c) 28 sq cm (d) 56 sq cm
- 34.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 36 sq cm (c) 10 sq cm (d) 20 sq cm
- 35.A rectangle has an area of 95 sq cm and a length of 19 cm. What is its width? (a) 5 cm (b) 76 cm (c) 6 cm (d) 10 cm
- 36.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 64 sq cm (c) 81 sq cm (d) 16 sq cm
- 37.A rectangle is 16 cm long and 4 cm wide. What is its perimeter? (a) 20 cm (b) 64 cm (c) 36 cm (d) 40 cm
- 38.A rectangle is 15 cm long and 12 cm wide. What is its area? (a) 54 sq cm (b) 180 sq cm (c) 195 sq cm (d) 27 sq cm
- 39.A rectangle has an area of 90 sq cm and a length of 18 cm. What is its width? (a) 72 cm (b) 6 cm (c) 10 cm (d) 5 cm
- 40.A rectangle is 19 cm long and 9 cm wide. What is its perimeter? (a) 56 cm (b) 171 cm (c) 47 cm (d) 28 cm
Answer key
- 6 cm
- 3 cm
- 11 cm
- 49 sq cm
- 119 sq cm
- 20 cm
- 170 sq cm
- 11 cm
- 190 sq cm
- 44 cm
- 36 sq cm
- 60 sq cm
- 135 sq cm
- 27 sq cm
- 24 cm
- 24 sq cm
- 3 cm
- 169 sq cm
- 225 sq cm
- 4 cm
- 3 cm
- 18 sq cm
- 40 cm
- 42 sq cm
- 100 sq cm
- 21 sq cm
- 9 cm
- 81 sq cm
- 57 sq cm
- 9 cm
- 22 cm
- 36 cm
- 196 sq cm
- 25 sq cm
- 5 cm
- 64 sq cm
- 40 cm
- 180 sq cm
- 5 cm
- 56 cm
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