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 square has a perimeter of 24 cm. What is its area? (a) 36 sq cm (b) 49 sq cm (c) 12 sq cm (d) 24 sq cm
- 2.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 32 sq cm (c) 16 sq cm (d) 64 sq cm
- 3.A rectangle is 16 cm long and 4 cm wide. What is its area? (a) 20 sq cm (b) 40 sq cm (c) 80 sq cm (d) 64 sq cm
- 4.A rectangle has an area of 60 sq cm and a length of 20 cm. What is its width? (a) 40 cm (b) 4 cm (c) 3 cm (d) 6 cm
- 5.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
- 6.A rectangle is 12 cm long and 6 cm wide. What is its perimeter? (a) 18 cm (b) 72 cm (c) 30 cm (d) 36 cm
- 7.A rectangle is 16 cm long and 5 cm wide. What is its area? (a) 80 sq cm (b) 42 sq cm (c) 21 sq cm (d) 96 sq cm
- 8.A rectangle is 14 cm long and 10 cm wide. What is its area? (a) 48 sq cm (b) 24 sq cm (c) 140 sq cm (d) 154 sq cm
- 9.A rectangle has an area of 120 sq cm and a length of 20 cm. What is its width? (a) 12 cm (b) 100 cm (c) 6 cm (d) 7 cm
- 10.A rectangle is 19 cm long and 6 cm wide. What is its area? (a) 50 sq cm (b) 133 sq cm (c) 114 sq cm (d) 25 sq cm
- 11.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 100 sq cm (c) 121 sq cm (d) 20 sq cm
- 12.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 14 sq cm (c) 49 sq cm (d) 28 sq cm
- 13.A rectangle has an area of 28 sq cm and a length of 7 cm. What is its width? (a) 21 cm (b) 5 cm (c) 8 cm (d) 4 cm
- 14.A rectangle is 11 cm long and 6 cm wide. What is its area? (a) 34 sq cm (b) 77 sq cm (c) 66 sq cm (d) 17 sq cm
- 15.A rectangle has an area of 132 sq cm and a length of 12 cm. What is its width? (a) 12 cm (b) 120 cm (c) 11 cm (d) 22 cm
- 16.A rectangle is 13 cm long and 4 cm wide. What is its area? (a) 65 sq cm (b) 34 sq cm (c) 52 sq cm (d) 17 sq cm
- 17.A rectangle has an area of 209 sq cm and a length of 19 cm. What is its width? (a) 12 cm (b) 22 cm (c) 190 cm (d) 11 cm
- 18.A rectangle has an area of 50 sq cm and a length of 10 cm. What is its width? (a) 40 cm (b) 6 cm (c) 10 cm (d) 5 cm
- 19.A rectangle has an area of 24 sq cm and a length of 12 cm. What is its width? (a) 3 cm (b) 2 cm (c) 4 cm (d) 12 cm
- 20.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 22 sq cm (b) 35 sq cm (c) 11 sq cm (d) 28 sq cm
- 21.A rectangle has an area of 136 sq cm and a length of 17 cm. What is its width? (a) 119 cm (b) 8 cm (c) 9 cm (d) 16 cm
- 22.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 60 sq cm (c) 225 sq cm (d) 30 sq cm
- 23.A rectangle is 20 cm long and 10 cm wide. What is its area? (a) 200 sq cm (b) 60 sq cm (c) 30 sq cm (d) 220 sq cm
- 24.A rectangle has an area of 42 sq cm and a length of 14 cm. What is its width? (a) 3 cm (b) 6 cm (c) 28 cm (d) 4 cm
- 25.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 42 sq cm (b) 12 sq cm (c) 35 sq cm (d) 24 sq cm
- 26.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 169 sq cm (c) 26 sq cm (d) 52 sq cm
- 27.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 36 sq cm (c) 10 sq cm (d) 25 sq cm
- 28.A rectangle is 15 cm long and 6 cm wide. What is its perimeter? (a) 90 cm (b) 36 cm (c) 21 cm (d) 42 cm
- 29.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 22 sq cm (c) 144 sq cm (d) 121 sq cm
- 30.A rectangle is 14 cm long and 3 cm wide. What is its perimeter? (a) 17 cm (b) 34 cm (c) 31 cm (d) 42 cm
- 31.A rectangle is 13 cm long and 6 cm wide. What is its area? (a) 78 sq cm (b) 19 sq cm (c) 91 sq cm (d) 38 sq cm
- 32.A rectangle has an area of 52 sq cm and a length of 13 cm. What is its width? (a) 5 cm (b) 8 cm (c) 4 cm (d) 39 cm
- 33.A rectangle has an area of 180 sq cm and a length of 15 cm. What is its width? (a) 165 cm (b) 13 cm (c) 24 cm (d) 12 cm
- 34.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 32 sq cm (b) 24 sq cm (c) 12 sq cm (d) 40 sq cm
- 35.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 36 sq cm (b) 26 sq cm (c) 13 sq cm (d) 45 sq cm
- 36.A rectangle is 16 cm long and 4 cm wide. What is its perimeter? (a) 20 cm (b) 40 cm (c) 64 cm (d) 36 cm
- 37.A rectangle has an area of 126 sq cm and a length of 18 cm. What is its width? (a) 8 cm (b) 108 cm (c) 14 cm (d) 7 cm
- 38.A rectangle has an area of 45 sq cm and a length of 9 cm. What is its width? (a) 6 cm (b) 36 cm (c) 10 cm (d) 5 cm
- 39.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 42 cm (b) 13 cm (c) 20 cm (d) 26 cm
- 40.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 18 cm (b) 20 cm (c) 16 cm (d) 10 cm
Answer key
- 36 sq cm
- 64 sq cm
- 64 sq cm
- 3 cm
- 196 sq cm
- 36 cm
- 80 sq cm
- 140 sq cm
- 6 cm
- 114 sq cm
- 100 sq cm
- 49 sq cm
- 4 cm
- 66 sq cm
- 11 cm
- 52 sq cm
- 11 cm
- 5 cm
- 2 cm
- 28 sq cm
- 8 cm
- 225 sq cm
- 200 sq cm
- 3 cm
- 35 sq cm
- 169 sq cm
- 25 sq cm
- 42 cm
- 121 sq cm
- 34 cm
- 78 sq cm
- 4 cm
- 12 cm
- 32 sq cm
- 36 sq cm
- 40 cm
- 7 cm
- 5 cm
- 26 cm
- 20 cm
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