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 20 cm long and 8 cm wide. What is its area? (a) 160 sq cm (b) 28 sq cm (c) 180 sq cm (d) 56 sq cm
- 2.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 64 sq cm (c) 14 sq cm (d) 49 sq cm
- 3.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 12 sq cm (b) 40 sq cm (c) 32 sq cm (d) 24 sq cm
- 4.A rectangle has an area of 168 sq cm and a length of 14 cm. What is its width? (a) 24 cm (b) 12 cm (c) 13 cm (d) 154 cm
- 5.A rectangle is 17 cm long and 8 cm wide. What is its perimeter? (a) 25 cm (b) 136 cm (c) 50 cm (d) 42 cm
- 6.A rectangle has an area of 140 sq cm and a length of 14 cm. What is its width? (a) 11 cm (b) 126 cm (c) 10 cm (d) 20 cm
- 7.A rectangle has an area of 27 sq cm and a length of 9 cm. What is its width? (a) 18 cm (b) 6 cm (c) 4 cm (d) 3 cm
- 8.A rectangle is 15 cm long and 11 cm wide. What is its perimeter? (a) 41 cm (b) 165 cm (c) 26 cm (d) 52 cm
- 9.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
- 10.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 144 sq cm (c) 169 sq cm (d) 24 sq cm
- 11.A rectangle is 16 cm long and 6 cm wide. What is its area? (a) 96 sq cm (b) 22 sq cm (c) 44 sq cm (d) 112 sq cm
- 12.A rectangle has an area of 240 sq cm and a length of 20 cm. What is its width? (a) 220 cm (b) 24 cm (c) 13 cm (d) 12 cm
- 13.A square has a perimeter of 60 cm. What is its area? (a) 225 sq cm (b) 30 sq cm (c) 256 sq cm (d) 60 sq cm
- 14.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 20 cm (b) 10 cm (c) 17 cm (d) 21 cm
- 15.A rectangle is 12 cm long and 8 cm wide. What is its perimeter? (a) 32 cm (b) 20 cm (c) 40 cm (d) 96 cm
- 16.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 28 sq cm (c) 56 sq cm (d) 196 sq cm
- 17.A rectangle has an area of 120 sq cm and a length of 20 cm. What is its width? (a) 100 cm (b) 6 cm (c) 12 cm (d) 7 cm
- 18.A rectangle has an area of 156 sq cm and a length of 13 cm. What is its width? (a) 13 cm (b) 143 cm (c) 12 cm (d) 24 cm
- 19.A rectangle is 19 cm long and 6 cm wide. What is its area? (a) 133 sq cm (b) 50 sq cm (c) 114 sq cm (d) 25 sq cm
- 20.A rectangle is 18 cm long and 8 cm wide. What is its perimeter? (a) 144 cm (b) 52 cm (c) 26 cm (d) 44 cm
- 21.A rectangle is 9 cm long and 4 cm wide. What is its perimeter? (a) 26 cm (b) 13 cm (c) 36 cm (d) 22 cm
- 22.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 64 sq cm (c) 16 sq cm (d) 81 sq cm
- 23.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 13 sq cm (b) 26 sq cm (c) 49 sq cm (d) 42 sq cm
- 24.A rectangle is 9 cm long and 5 cm wide. What is its perimeter? (a) 14 cm (b) 23 cm (c) 28 cm (d) 45 cm
- 25.A rectangle is 16 cm long and 4 cm wide. What is its area? (a) 40 sq cm (b) 20 sq cm (c) 64 sq cm (d) 80 sq cm
- 26.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 42 cm (b) 20 cm (c) 26 cm (d) 13 cm
- 27.A rectangle is 18 cm long and 11 cm wide. What is its area? (a) 58 sq cm (b) 198 sq cm (c) 216 sq cm (d) 29 sq cm
- 28.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) 2 cm (d) 3 cm
- 29.A rectangle has an area of 112 sq cm and a length of 14 cm. What is its width? (a) 8 cm (b) 98 cm (c) 9 cm (d) 16 cm
- 30.A rectangle is 9 cm long and 7 cm wide. What is its area? (a) 72 sq cm (b) 32 sq cm (c) 16 sq cm (d) 63 sq cm
- 31.A rectangle is 10 cm long and 7 cm wide. What is its perimeter? (a) 34 cm (b) 17 cm (c) 27 cm (d) 70 cm
- 32.A rectangle has an area of 204 sq cm and a length of 17 cm. What is its width? (a) 13 cm (b) 187 cm (c) 24 cm (d) 12 cm
- 33.A rectangle is 20 cm long and 7 cm wide. What is its perimeter? (a) 54 cm (b) 47 cm (c) 140 cm (d) 27 cm
- 34.A rectangle is 17 cm long and 3 cm wide. What is its perimeter? (a) 51 cm (b) 20 cm (c) 37 cm (d) 40 cm
- 35.A rectangle is 17 cm long and 5 cm wide. What is its area? (a) 85 sq cm (b) 44 sq cm (c) 102 sq cm (d) 22 sq cm
- 36.A square has a perimeter of 52 cm. What is its area? (a) 169 sq cm (b) 196 sq cm (c) 52 sq cm (d) 26 sq cm
- 37.A rectangle is 15 cm long and 2 cm wide. What is its area? (a) 34 sq cm (b) 30 sq cm (c) 17 sq cm (d) 45 sq cm
- 38.A rectangle is 11 cm long and 3 cm wide. What is its area? (a) 44 sq cm (b) 33 sq cm (c) 28 sq cm (d) 14 sq cm
- 39.A rectangle has an area of 117 sq cm and a length of 13 cm. What is its width? (a) 104 cm (b) 18 cm (c) 10 cm (d) 9 cm
- 40.A rectangle is 14 cm long and 12 cm wide. What is its area? (a) 52 sq cm (b) 26 sq cm (c) 182 sq cm (d) 168 sq cm
Answer key
- 160 sq cm
- 49 sq cm
- 32 sq cm
- 12 cm
- 50 cm
- 10 cm
- 3 cm
- 52 cm
- 121 sq cm
- 144 sq cm
- 96 sq cm
- 12 cm
- 225 sq cm
- 20 cm
- 40 cm
- 196 sq cm
- 6 cm
- 12 cm
- 114 sq cm
- 52 cm
- 26 cm
- 64 sq cm
- 42 sq cm
- 28 cm
- 64 sq cm
- 26 cm
- 198 sq cm
- 2 cm
- 8 cm
- 63 sq cm
- 34 cm
- 12 cm
- 54 cm
- 40 cm
- 85 sq cm
- 169 sq cm
- 30 sq cm
- 33 sq cm
- 9 cm
- 168 sq cm
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