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 10 cm long and 4 cm wide. What is its area? (a) 14 sq cm (b) 50 sq cm (c) 28 sq cm (d) 40 sq cm
- 2.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 56 sq cm (c) 225 sq cm (d) 28 sq cm
- 3.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 8 cm (b) 14 cm (c) 12 cm (d) 16 cm
- 4.A square has a perimeter of 48 cm. What is its area? (a) 144 sq cm (b) 24 sq cm (c) 48 sq cm (d) 169 sq cm
- 5.A rectangle is 20 cm long and 4 cm wide. What is its area? (a) 80 sq cm (b) 100 sq cm (c) 48 sq cm (d) 24 sq cm
- 6.A rectangle has an area of 66 sq cm and a length of 11 cm. What is its width? (a) 55 cm (b) 7 cm (c) 6 cm (d) 12 cm
- 7.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 44 sq cm (c) 121 sq cm (d) 22 sq cm
- 8.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 36 sq cm (d) 25 sq cm
- 9.A rectangle has an area of 228 sq cm and a length of 19 cm. What is its width? (a) 209 cm (b) 13 cm (c) 24 cm (d) 12 cm
- 10.A rectangle is 13 cm long and 10 cm wide. What is its perimeter? (a) 46 cm (b) 130 cm (c) 23 cm (d) 36 cm
- 11.A rectangle has an area of 26 sq cm and a length of 13 cm. What is its width? (a) 3 cm (b) 2 cm (c) 13 cm (d) 4 cm
- 12.A rectangle is 12 cm long and 10 cm wide. What is its perimeter? (a) 22 cm (b) 44 cm (c) 34 cm (d) 120 cm
- 13.A rectangle is 18 cm long and 4 cm wide. What is its perimeter? (a) 40 cm (b) 72 cm (c) 22 cm (d) 44 cm
- 14.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 8 sq cm (b) 12 sq cm (c) 18 sq cm (d) 16 sq cm
- 15.A rectangle is 17 cm long and 11 cm wide. What is its perimeter? (a) 45 cm (b) 28 cm (c) 56 cm (d) 187 cm
- 16.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 60 sq cm (c) 225 sq cm (d) 256 sq cm
- 17.A rectangle has an area of 50 sq cm and a length of 10 cm. What is its width? (a) 10 cm (b) 6 cm (c) 40 cm (d) 5 cm
- 18.A rectangle is 20 cm long and 2 cm wide. What is its perimeter? (a) 40 cm (b) 22 cm (c) 42 cm (d) 44 cm
- 19.A rectangle is 10 cm long and 6 cm wide. What is its area? (a) 70 sq cm (b) 16 sq cm (c) 32 sq cm (d) 60 sq cm
- 20.A rectangle is 19 cm long and 10 cm wide. What is its perimeter? (a) 190 cm (b) 29 cm (c) 48 cm (d) 58 cm
- 21.A rectangle is 19 cm long and 8 cm wide. What is its area? (a) 54 sq cm (b) 27 sq cm (c) 152 sq cm (d) 171 sq cm
- 22.A rectangle is 20 cm long and 3 cm wide. What is its perimeter? (a) 23 cm (b) 43 cm (c) 46 cm (d) 60 cm
- 23.A square has a perimeter of 40 cm. What is its area? (a) 100 sq cm (b) 40 sq cm (c) 121 sq cm (d) 20 sq cm
- 24.A rectangle has an area of 18 sq cm and a length of 6 cm. What is its width? (a) 3 cm (b) 12 cm (c) 6 cm (d) 4 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) 26 sq cm (d) 13 sq cm
- 26.A rectangle has an area of 156 sq cm and a length of 13 cm. What is its width? (a) 143 cm (b) 12 cm (c) 13 cm (d) 24 cm
- 27.A rectangle has an area of 36 sq cm and a length of 9 cm. What is its width? (a) 5 cm (b) 8 cm (c) 27 cm (d) 4 cm
- 28.A rectangle is 15 cm long and 7 cm wide. What is its perimeter? (a) 37 cm (b) 105 cm (c) 22 cm (d) 44 cm
- 29.A rectangle is 14 cm long and 10 cm wide. What is its area? (a) 24 sq cm (b) 48 sq cm (c) 154 sq cm (d) 140 sq cm
- 30.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 36 sq cm (c) 18 sq cm (d) 81 sq cm
- 31.A rectangle is 13 cm long and 7 cm wide. What is its perimeter? (a) 20 cm (b) 33 cm (c) 40 cm (d) 91 cm
- 32.A rectangle is 9 cm long and 8 cm wide. What is its area? (a) 72 sq cm (b) 34 sq cm (c) 17 sq cm (d) 81 sq cm
- 33.A rectangle has an area of 42 sq cm and a length of 14 cm. What is its width? (a) 3 cm (b) 4 cm (c) 28 cm (d) 6 cm
- 34.A rectangle is 16 cm long and 4 cm wide. What is its perimeter? (a) 20 cm (b) 40 cm (c) 36 cm (d) 64 cm
- 35.A rectangle is 8 cm long and 5 cm wide. What is its area? (a) 48 sq cm (b) 40 sq cm (c) 13 sq cm (d) 26 sq cm
- 36.A rectangle is 12 cm long and 7 cm wide. What is its perimeter? (a) 19 cm (b) 84 cm (c) 38 cm (d) 31 cm
- 37.A rectangle is 16 cm long and 10 cm wide. What is its area? (a) 52 sq cm (b) 26 sq cm (c) 176 sq cm (d) 160 sq cm
- 38.A rectangle has an area of 70 sq cm and a length of 10 cm. What is its width? (a) 8 cm (b) 14 cm (c) 7 cm (d) 60 cm
- 39.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 16 sq cm (c) 64 sq cm (d) 32 sq cm
- 40.A rectangle has an area of 45 sq cm and a length of 9 cm. What is its width? (a) 10 cm (b) 6 cm (c) 36 cm (d) 5 cm
Answer key
- 40 sq cm
- 196 sq cm
- 16 cm
- 144 sq cm
- 80 sq cm
- 6 cm
- 121 sq cm
- 25 sq cm
- 12 cm
- 46 cm
- 2 cm
- 44 cm
- 44 cm
- 12 sq cm
- 56 cm
- 225 sq cm
- 5 cm
- 44 cm
- 60 sq cm
- 58 cm
- 152 sq cm
- 46 cm
- 100 sq cm
- 3 cm
- 36 sq cm
- 12 cm
- 4 cm
- 44 cm
- 140 sq cm
- 81 sq cm
- 40 cm
- 72 sq cm
- 3 cm
- 40 cm
- 40 sq cm
- 38 cm
- 160 sq cm
- 7 cm
- 64 sq cm
- 5 cm
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