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 10 cm wide. What is its perimeter? (a) 48 cm (b) 190 cm (c) 58 cm (d) 29 cm
- 2.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 10 sq cm (c) 25 sq cm (d) 20 sq cm
- 3.A rectangle is 9 cm long and 7 cm wide. What is its perimeter? (a) 63 cm (b) 25 cm (c) 32 cm (d) 16 cm
- 4.A rectangle has an area of 192 sq cm and a length of 16 cm. What is its width? (a) 176 cm (b) 12 cm (c) 24 cm (d) 13 cm
- 5.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 12 sq cm (b) 40 sq cm (c) 24 sq cm (d) 32 sq cm
- 6.A rectangle has an area of 20 sq cm and a length of 10 cm. What is its width? (a) 2 cm (b) 3 cm (c) 10 cm (d) 4 cm
- 7.A rectangle is 14 cm long and 5 cm wide. What is its area? (a) 19 sq cm (b) 70 sq cm (c) 84 sq cm (d) 38 sq cm
- 8.A rectangle is 17 cm long and 10 cm wide. What is its area? (a) 170 sq cm (b) 54 sq cm (c) 27 sq cm (d) 187 sq cm
- 9.A rectangle is 15 cm long and 5 cm wide. What is its area? (a) 75 sq cm (b) 20 sq cm (c) 40 sq cm (d) 90 sq cm
- 10.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 144 sq cm (c) 48 sq cm (d) 169 sq cm
- 11.A rectangle is 19 cm long and 2 cm wide. What is its perimeter? (a) 21 cm (b) 40 cm (c) 38 cm (d) 42 cm
- 12.A rectangle has an area of 136 sq cm and a length of 17 cm. What is its width? (a) 9 cm (b) 16 cm (c) 8 cm (d) 119 cm
- 13.A rectangle is 15 cm long and 11 cm wide. What is its area? (a) 52 sq cm (b) 180 sq cm (c) 26 sq cm (d) 165 sq cm
- 14.A rectangle is 10 cm long and 2 cm wide. What is its perimeter? (a) 12 cm (b) 22 cm (c) 20 cm (d) 24 cm
- 15.A rectangle is 15 cm long and 4 cm wide. What is its perimeter? (a) 34 cm (b) 19 cm (c) 60 cm (d) 38 cm
- 16.A rectangle has an area of 36 sq cm and a length of 12 cm. What is its width? (a) 6 cm (b) 24 cm (c) 4 cm (d) 3 cm
- 17.A rectangle has an area of 216 sq cm and a length of 18 cm. What is its width? (a) 13 cm (b) 24 cm (c) 12 cm (d) 198 cm
- 18.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 22 sq cm (b) 11 sq cm (c) 30 sq cm (d) 36 sq cm
- 19.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 256 sq cm (c) 30 sq cm (d) 225 sq cm
- 20.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 64 sq cm (c) 32 sq cm (d) 16 sq cm
- 21.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 10 sq cm (b) 24 sq cm (c) 30 sq cm (d) 20 sq cm
- 22.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 11 cm (b) 19 cm (c) 24 cm (d) 22 cm
- 23.A rectangle is 8 cm long and 5 cm wide. What is its perimeter? (a) 40 cm (b) 21 cm (c) 13 cm (d) 26 cm
- 24.A rectangle is 11 cm long and 9 cm wide. What is its area? (a) 99 sq cm (b) 40 sq cm (c) 110 sq cm (d) 20 sq cm
- 25.A rectangle is 12 cm long and 6 cm wide. What is its perimeter? (a) 18 cm (b) 30 cm (c) 72 cm (d) 36 cm
- 26.A rectangle has an area of 40 sq cm and a length of 8 cm. What is its width? (a) 10 cm (b) 32 cm (c) 5 cm (d) 6 cm
- 27.A rectangle is 17 cm long and 12 cm wide. What is its area? (a) 58 sq cm (b) 29 sq cm (c) 221 sq cm (d) 204 sq cm
- 28.A rectangle is 19 cm long and 8 cm wide. What is its area? (a) 27 sq cm (b) 171 sq cm (c) 54 sq cm (d) 152 sq cm
- 29.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 64 sq cm (b) 56 sq cm (c) 15 sq cm (d) 30 sq cm
- 30.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 144 sq cm (c) 121 sq cm (d) 22 sq cm
- 31.A rectangle has an area of 240 sq cm and a length of 20 cm. What is its width? (a) 12 cm (b) 220 cm (c) 24 cm (d) 13 cm
- 32.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 18 sq cm (c) 36 sq cm (d) 81 sq cm
- 33.A rectangle is 16 cm long and 10 cm wide. What is its perimeter? (a) 52 cm (b) 160 cm (c) 42 cm (d) 26 cm
- 34.A rectangle has an area of 104 sq cm and a length of 13 cm. What is its width? (a) 91 cm (b) 16 cm (c) 9 cm (d) 8 cm
- 35.A rectangle is 19 cm long and 5 cm wide. What is its perimeter? (a) 24 cm (b) 95 cm (c) 43 cm (d) 48 cm
- 36.A rectangle has an area of 220 sq cm and a length of 20 cm. What is its width? (a) 22 cm (b) 11 cm (c) 12 cm (d) 200 cm
- 37.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 24 cm (b) 19 cm (c) 35 cm (d) 12 cm
- 38.A rectangle has an area of 56 sq cm and a length of 8 cm. What is its width? (a) 7 cm (b) 48 cm (c) 14 cm (d) 8 cm
- 39.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 22 sq cm (c) 32 sq cm (d) 11 sq cm
- 40.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) 154 cm (d) 13 cm
Answer key
- 58 cm
- 25 sq cm
- 32 cm
- 12 cm
- 32 sq cm
- 2 cm
- 70 sq cm
- 170 sq cm
- 75 sq cm
- 144 sq cm
- 42 cm
- 8 cm
- 165 sq cm
- 24 cm
- 38 cm
- 3 cm
- 12 cm
- 30 sq cm
- 225 sq cm
- 64 sq cm
- 24 sq cm
- 22 cm
- 26 cm
- 99 sq cm
- 36 cm
- 5 cm
- 204 sq cm
- 152 sq cm
- 56 sq cm
- 121 sq cm
- 12 cm
- 81 sq cm
- 52 cm
- 8 cm
- 48 cm
- 11 cm
- 24 cm
- 7 cm
- 24 sq cm
- 12 cm
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