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 36 cm. What is its area? (a) 100 sq cm (b) 18 sq cm (c) 81 sq cm (d) 36 sq cm
- 2.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
- 3.A rectangle is 12 cm long and 4 cm wide. What is its perimeter? (a) 48 cm (b) 16 cm (c) 28 cm (d) 32 cm
- 4.A rectangle is 14 cm long and 8 cm wide. What is its area? (a) 44 sq cm (b) 22 sq cm (c) 112 sq cm (d) 126 sq cm
- 5.A rectangle is 10 cm long and 4 cm wide. What is its area? (a) 50 sq cm (b) 14 sq cm (c) 40 sq cm (d) 28 sq cm
- 6.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 22 sq cm (b) 36 sq cm (c) 30 sq cm (d) 11 sq cm
- 7.A rectangle is 15 cm long and 10 cm wide. What is its perimeter? (a) 50 cm (b) 150 cm (c) 25 cm (d) 40 cm
- 8.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 81 sq cm (c) 32 sq cm (d) 64 sq cm
- 9.A rectangle is 15 cm long and 12 cm wide. What is its perimeter? (a) 54 cm (b) 180 cm (c) 27 cm (d) 42 cm
- 10.A rectangle is 11 cm long and 3 cm wide. What is its perimeter? (a) 33 cm (b) 28 cm (c) 14 cm (d) 25 cm
- 11.A rectangle has an area of 14 sq cm and a length of 7 cm. What is its width? (a) 2 cm (b) 4 cm (c) 7 cm (d) 3 cm
- 12.A rectangle has an area of 133 sq cm and a length of 19 cm. What is its width? (a) 14 cm (b) 114 cm (c) 8 cm (d) 7 cm
- 13.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
- 14.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 16 sq cm (c) 12 sq cm (d) 8 sq cm
- 15.A rectangle is 16 cm long and 4 cm wide. What is its area? (a) 40 sq cm (b) 80 sq cm (c) 20 sq cm (d) 64 sq cm
- 16.A rectangle has an area of 70 sq cm and a length of 10 cm. What is its width? (a) 14 cm (b) 7 cm (c) 8 cm (d) 60 cm
- 17.A rectangle has an area of 24 sq cm and a length of 8 cm. What is its width? (a) 3 cm (b) 4 cm (c) 16 cm (d) 6 cm
- 18.A rectangle has an area of 126 sq cm and a length of 18 cm. What is its width? (a) 108 cm (b) 7 cm (c) 8 cm (d) 14 cm
- 19.A rectangle is 16 cm long and 2 cm wide. What is its area? (a) 48 sq cm (b) 36 sq cm (c) 18 sq cm (d) 32 sq cm
- 20.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
- 21.A rectangle has an area of 130 sq cm and a length of 13 cm. What is its width? (a) 10 cm (b) 20 cm (c) 117 cm (d) 11 cm
- 22.A rectangle is 12 cm long and 2 cm wide. What is its perimeter? (a) 24 cm (b) 26 cm (c) 14 cm (d) 28 cm
- 23.A rectangle has an area of 102 sq cm and a length of 17 cm. What is its width? (a) 12 cm (b) 7 cm (c) 85 cm (d) 6 cm
- 24.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 225 sq cm (c) 256 sq cm (d) 60 sq cm
- 25.A rectangle is 19 cm long and 2 cm wide. What is its perimeter? (a) 40 cm (b) 38 cm (c) 21 cm (d) 42 cm
- 26.A rectangle has an area of 12 sq cm and a length of 4 cm. What is its width? (a) 8 cm (b) 3 cm (c) 6 cm (d) 4 cm
- 27.A rectangle is 9 cm long and 4 cm wide. What is its perimeter? (a) 13 cm (b) 36 cm (c) 22 cm (d) 26 cm
- 28.A square has a perimeter of 28 cm. What is its area? (a) 49 sq cm (b) 14 sq cm (c) 28 sq cm (d) 64 sq cm
- 29.A rectangle has an area of 176 sq cm and a length of 16 cm. What is its width? (a) 12 cm (b) 22 cm (c) 160 cm (d) 11 cm
- 30.A rectangle is 14 cm long and 12 cm wide. What is its area? (a) 168 sq cm (b) 52 sq cm (c) 26 sq cm (d) 182 sq cm
- 31.A rectangle has an area of 200 sq cm and a length of 20 cm. What is its width? (a) 180 cm (b) 11 cm (c) 10 cm (d) 20 cm
- 32.A rectangle has an area of 56 sq cm and a length of 8 cm. What is its width? (a) 48 cm (b) 7 cm (c) 14 cm (d) 8 cm
- 33.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 100 sq cm (c) 121 sq cm (d) 40 sq cm
- 34.A rectangle is 12 cm long and 5 cm wide. What is its perimeter? (a) 17 cm (b) 60 cm (c) 34 cm (d) 29 cm
- 35.A rectangle is 14 cm long and 4 cm wide. What is its perimeter? (a) 18 cm (b) 56 cm (c) 32 cm (d) 36 cm
- 36.A rectangle is 18 cm long and 12 cm wide. What is its area? (a) 60 sq cm (b) 216 sq cm (c) 30 sq cm (d) 234 sq cm
- 37.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 121 sq cm (c) 44 sq cm (d) 22 sq cm
- 38.A rectangle is 18 cm long and 9 cm wide. What is its perimeter? (a) 27 cm (b) 54 cm (c) 45 cm (d) 162 cm
- 39.A rectangle is 18 cm long and 5 cm wide. What is its area? (a) 108 sq cm (b) 46 sq cm (c) 23 sq cm (d) 90 sq cm
- 40.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 10 cm (b) 17 cm (c) 21 cm (d) 20 cm
Answer key
- 81 sq cm
- 66 sq cm
- 32 cm
- 112 sq cm
- 40 sq cm
- 30 sq cm
- 50 cm
- 64 sq cm
- 54 cm
- 28 cm
- 2 cm
- 7 cm
- 169 sq cm
- 12 sq cm
- 64 sq cm
- 7 cm
- 3 cm
- 7 cm
- 32 sq cm
- 196 sq cm
- 10 cm
- 28 cm
- 6 cm
- 225 sq cm
- 42 cm
- 3 cm
- 26 cm
- 49 sq cm
- 11 cm
- 168 sq cm
- 10 cm
- 7 cm
- 100 sq cm
- 34 cm
- 36 cm
- 216 sq cm
- 121 sq cm
- 54 cm
- 90 sq cm
- 20 cm
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