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 6 cm long and 3 cm wide. What is its area? (a) 18 sq cm (b) 19 sq cm (c) 9 sq cm (d) 24 sq cm
- 2.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 28 sq cm (c) 14 sq cm (d) 49 sq cm
- 3.A rectangle is 13 cm long and 7 cm wide. What is its perimeter? (a) 40 cm (b) 91 cm (c) 20 cm (d) 33 cm
- 4.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 121 sq cm (c) 100 sq cm (d) 20 sq cm
- 5.A rectangle has an area of 30 sq cm and a length of 6 cm. What is its width? (a) 24 cm (b) 5 cm (c) 6 cm (d) 10 cm
- 6.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 56 sq cm (c) 196 sq cm (d) 225 sq cm
- 7.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 30 sq cm (c) 225 sq cm (d) 256 sq cm
- 8.A rectangle has an area of 64 sq cm and a length of 16 cm. What is its width? (a) 8 cm (b) 5 cm (c) 48 cm (d) 4 cm
- 9.A rectangle has an area of 6 sq cm and a length of 3 cm. What is its width? (a) 2 cm (b) 1 cm (c) 4 cm (d) 3 cm
- 10.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
- 11.A rectangle is 15 cm long and 9 cm wide. What is its perimeter? (a) 135 cm (b) 24 cm (c) 39 cm (d) 48 cm
- 12.A rectangle is 8 cm long and 5 cm wide. What is its area? (a) 48 sq cm (b) 13 sq cm (c) 26 sq cm (d) 40 sq cm
- 13.A rectangle has an area of 45 sq cm and a length of 15 cm. What is its width? (a) 4 cm (b) 3 cm (c) 6 cm (d) 30 cm
- 14.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
- 15.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 22 sq cm (b) 32 sq cm (c) 24 sq cm (d) 11 sq cm
- 16.A rectangle is 17 cm long and 4 cm wide. What is its area? (a) 42 sq cm (b) 85 sq cm (c) 68 sq cm (d) 21 sq cm
- 17.A rectangle has an area of 18 sq cm and a length of 6 cm. What is its width? (a) 12 cm (b) 4 cm (c) 3 cm (d) 6 cm
- 18.A rectangle has an area of 133 sq cm and a length of 19 cm. What is its width? (a) 7 cm (b) 14 cm (c) 114 cm (d) 8 cm
- 19.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
- 20.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 169 sq cm (c) 48 sq cm (d) 144 sq cm
- 21.A rectangle is 12 cm long and 6 cm wide. What is its perimeter? (a) 72 cm (b) 30 cm (c) 36 cm (d) 18 cm
- 22.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 49 sq cm (c) 36 sq cm (d) 24 sq cm
- 23.A rectangle has an area of 80 sq cm and a length of 16 cm. What is its width? (a) 5 cm (b) 6 cm (c) 64 cm (d) 10 cm
- 24.A rectangle is 12 cm long and 3 cm wide. What is its perimeter? (a) 27 cm (b) 30 cm (c) 15 cm (d) 36 cm
- 25.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 18 cm (b) 9 cm (c) 14 cm (d) 16 cm
- 26.A rectangle has an area of 60 sq cm and a length of 15 cm. What is its width? (a) 45 cm (b) 4 cm (c) 8 cm (d) 5 cm
- 27.A rectangle is 20 cm long and 6 cm wide. What is its perimeter? (a) 120 cm (b) 52 cm (c) 26 cm (d) 46 cm
- 28.A rectangle is 17 cm long and 8 cm wide. What is its area? (a) 50 sq cm (b) 25 sq cm (c) 136 sq cm (d) 153 sq cm
- 29.A rectangle is 14 cm long and 11 cm wide. What is its perimeter? (a) 154 cm (b) 25 cm (c) 39 cm (d) 50 cm
- 30.A rectangle is 9 cm long and 7 cm wide. What is its area? (a) 32 sq cm (b) 72 sq cm (c) 16 sq cm (d) 63 sq cm
- 31.A rectangle is 14 cm long and 6 cm wide. What is its area? (a) 20 sq cm (b) 40 sq cm (c) 98 sq cm (d) 84 sq cm
- 32.A rectangle is 12 cm long and 4 cm wide. What is its perimeter? (a) 16 cm (b) 32 cm (c) 28 cm (d) 48 cm
- 33.A square has a perimeter of 32 cm. What is its area? (a) 64 sq cm (b) 32 sq cm (c) 16 sq cm (d) 81 sq cm
- 34.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 20 sq cm (c) 36 sq cm (d) 10 sq cm
- 35.A rectangle is 20 cm long and 11 cm wide. What is its area? (a) 62 sq cm (b) 240 sq cm (c) 220 sq cm (d) 31 sq cm
- 36.A rectangle has an area of 90 sq cm and a length of 18 cm. What is its width? (a) 72 cm (b) 5 cm (c) 10 cm (d) 6 cm
- 37.A rectangle has an area of 28 sq cm and a length of 7 cm. What is its width? (a) 5 cm (b) 8 cm (c) 4 cm (d) 21 cm
- 38.A rectangle has an area of 176 sq cm and a length of 16 cm. What is its width? (a) 11 cm (b) 12 cm (c) 22 cm (d) 160 cm
- 39.A rectangle has an area of 44 sq cm and a length of 11 cm. What is its width? (a) 4 cm (b) 5 cm (c) 33 cm (d) 8 cm
- 40.A rectangle has an area of 48 sq cm and a length of 8 cm. What is its width? (a) 6 cm (b) 12 cm (c) 7 cm (d) 40 cm
Answer key
- 18 sq cm
- 49 sq cm
- 40 cm
- 100 sq cm
- 5 cm
- 196 sq cm
- 225 sq cm
- 4 cm
- 2 cm
- 81 sq cm
- 48 cm
- 40 sq cm
- 3 cm
- 121 sq cm
- 24 sq cm
- 68 sq cm
- 3 cm
- 7 cm
- 169 sq cm
- 144 sq cm
- 36 cm
- 36 sq cm
- 5 cm
- 30 cm
- 18 cm
- 4 cm
- 52 cm
- 136 sq cm
- 50 cm
- 63 sq cm
- 84 sq cm
- 32 cm
- 64 sq cm
- 25 sq cm
- 220 sq cm
- 5 cm
- 4 cm
- 11 cm
- 4 cm
- 6 cm
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