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 32 cm. What is its area? (a) 16 sq cm (b) 32 sq cm (c) 81 sq cm (d) 64 sq cm
- 2.A rectangle is 20 cm long and 9 cm wide. What is its perimeter? (a) 58 cm (b) 180 cm (c) 49 cm (d) 29 cm
- 3.A square has a perimeter of 48 cm. What is its area? (a) 144 sq cm (b) 48 sq cm (c) 169 sq cm (d) 24 sq cm
- 4.A rectangle is 14 cm long and 2 cm wide. What is its area? (a) 32 sq cm (b) 42 sq cm (c) 28 sq cm (d) 16 sq cm
- 5.A rectangle has an area of 60 sq cm and a length of 15 cm. What is its width? (a) 4 cm (b) 5 cm (c) 8 cm (d) 45 cm
- 6.A rectangle is 15 cm long and 3 cm wide. What is its area? (a) 18 sq cm (b) 36 sq cm (c) 60 sq cm (d) 45 sq cm
- 7.A rectangle is 15 cm long and 2 cm wide. What is its perimeter? (a) 30 cm (b) 34 cm (c) 17 cm (d) 32 cm
- 8.A rectangle has an area of 240 sq cm and a length of 20 cm. What is its width? (a) 220 cm (b) 24 cm (c) 13 cm (d) 12 cm
- 9.A rectangle is 16 cm long and 10 cm wide. What is its perimeter? (a) 26 cm (b) 160 cm (c) 52 cm (d) 42 cm
- 10.A rectangle has an area of 80 sq cm and a length of 10 cm. What is its width? (a) 70 cm (b) 9 cm (c) 16 cm (d) 8 cm
- 11.A rectangle is 16 cm long and 9 cm wide. What is its perimeter? (a) 144 cm (b) 25 cm (c) 41 cm (d) 50 cm
- 12.A rectangle has an area of 176 sq cm and a length of 16 cm. What is its width? (a) 160 cm (b) 22 cm (c) 11 cm (d) 12 cm
- 13.A rectangle has an area of 72 sq cm and a length of 18 cm. What is its width? (a) 5 cm (b) 4 cm (c) 8 cm (d) 54 cm
- 14.A rectangle is 18 cm long and 7 cm wide. What is its area? (a) 144 sq cm (b) 25 sq cm (c) 126 sq cm (d) 50 sq cm
- 15.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 36 sq cm (c) 24 sq cm (d) 49 sq cm
- 16.A rectangle is 10 cm long and 7 cm wide. What is its area? (a) 34 sq cm (b) 80 sq cm (c) 70 sq cm (d) 17 sq cm
- 17.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 196 sq cm (c) 56 sq cm (d) 28 sq cm
- 18.A rectangle is 12 cm long and 5 cm wide. What is its perimeter? (a) 34 cm (b) 60 cm (c) 17 cm (d) 29 cm
- 19.A rectangle is 9 cm long and 2 cm wide. What is its perimeter? (a) 18 cm (b) 11 cm (c) 22 cm (d) 20 cm
- 20.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 10 cm (b) 18 cm (c) 16 cm (d) 20 cm
- 21.A rectangle is 20 cm long and 10 cm wide. What is its area? (a) 30 sq cm (b) 200 sq cm (c) 60 sq cm (d) 220 sq cm
- 22.A rectangle has an area of 140 sq cm and a length of 14 cm. What is its width? (a) 11 cm (b) 126 cm (c) 20 cm (d) 10 cm
- 23.A rectangle is 12 cm long and 4 cm wide. What is its area? (a) 48 sq cm (b) 32 sq cm (c) 16 sq cm (d) 60 sq cm
- 24.A rectangle has an area of 35 sq cm and a length of 7 cm. What is its width? (a) 10 cm (b) 6 cm (c) 5 cm (d) 28 cm
- 25.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
- 26.A rectangle is 15 cm long and 6 cm wide. What is its area? (a) 105 sq cm (b) 42 sq cm (c) 21 sq cm (d) 90 sq cm
- 27.A rectangle has an area of 135 sq cm and a length of 15 cm. What is its width? (a) 120 cm (b) 9 cm (c) 18 cm (d) 10 cm
- 28.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 20 sq cm (c) 100 sq cm (d) 40 sq cm
- 29.A rectangle is 18 cm long and 5 cm wide. What is its perimeter? (a) 41 cm (b) 46 cm (c) 90 cm (d) 23 cm
- 30.A rectangle is 14 cm long and 8 cm wide. What is its area? (a) 22 sq cm (b) 126 sq cm (c) 44 sq cm (d) 112 sq cm
- 31.A rectangle has an area of 24 sq cm and a length of 12 cm. What is its width? (a) 4 cm (b) 12 cm (c) 3 cm (d) 2 cm
- 32.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 26 sq cm (c) 52 sq cm (d) 169 sq cm
- 33.A rectangle has an area of 162 sq cm and a length of 18 cm. What is its width? (a) 18 cm (b) 144 cm (c) 9 cm (d) 10 cm
- 34.A rectangle is 11 cm long and 4 cm wide. What is its perimeter? (a) 44 cm (b) 26 cm (c) 30 cm (d) 15 cm
- 35.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 12 sq cm (b) 24 sq cm (c) 42 sq cm (d) 35 sq cm
- 36.A rectangle is 14 cm long and 6 cm wide. What is its perimeter? (a) 84 cm (b) 40 cm (c) 34 cm (d) 20 cm
- 37.A rectangle is 18 cm long and 2 cm wide. What is its perimeter? (a) 36 cm (b) 38 cm (c) 20 cm (d) 40 cm
- 38.A rectangle is 14 cm long and 8 cm wide. What is its perimeter? (a) 36 cm (b) 22 cm (c) 112 cm (d) 44 cm
- 39.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 121 sq cm (c) 144 sq cm (d) 22 sq cm
- 40.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 9 sq cm (b) 19 sq cm (c) 24 sq cm (d) 18 sq cm
Answer key
- 64 sq cm
- 58 cm
- 144 sq cm
- 28 sq cm
- 4 cm
- 45 sq cm
- 34 cm
- 12 cm
- 52 cm
- 8 cm
- 50 cm
- 11 cm
- 4 cm
- 126 sq cm
- 36 sq cm
- 70 sq cm
- 196 sq cm
- 34 cm
- 22 cm
- 20 cm
- 200 sq cm
- 10 cm
- 48 sq cm
- 5 cm
- 7 cm
- 90 sq cm
- 9 cm
- 100 sq cm
- 46 cm
- 112 sq cm
- 2 cm
- 169 sq cm
- 9 cm
- 30 cm
- 35 sq cm
- 40 cm
- 40 cm
- 44 cm
- 121 sq cm
- 18 sq cm
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