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 44 cm. What is its area? (a) 44 sq cm (b) 144 sq cm (c) 22 sq cm (d) 121 sq cm
- 2.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 28 sq cm (c) 196 sq cm (d) 225 sq cm
- 3.A rectangle is 8 cm long and 4 cm wide. What is its perimeter? (a) 20 cm (b) 12 cm (c) 32 cm (d) 24 cm
- 4.A rectangle has an area of 120 sq cm and a length of 15 cm. What is its width? (a) 9 cm (b) 16 cm (c) 105 cm (d) 8 cm
- 5.A rectangle is 20 cm long and 12 cm wide. What is its area? (a) 32 sq cm (b) 64 sq cm (c) 240 sq cm (d) 260 sq cm
- 6.A rectangle is 17 cm long and 6 cm wide. What is its area? (a) 46 sq cm (b) 119 sq cm (c) 102 sq cm (d) 23 sq cm
- 7.A rectangle is 10 cm long and 7 cm wide. What is its perimeter? (a) 34 cm (b) 17 cm (c) 27 cm (d) 70 cm
- 8.A rectangle has an area of 100 sq cm and a length of 20 cm. What is its width? (a) 10 cm (b) 5 cm (c) 80 cm (d) 6 cm
- 9.A rectangle is 8 cm long and 7 cm wide. What is its perimeter? (a) 15 cm (b) 30 cm (c) 56 cm (d) 23 cm
- 10.A rectangle is 12 cm long and 4 cm wide. What is its perimeter? (a) 32 cm (b) 48 cm (c) 16 cm (d) 28 cm
- 11.A rectangle is 10 cm long and 2 cm wide. What is its area? (a) 20 sq cm (b) 24 sq cm (c) 30 sq cm (d) 12 sq cm
- 12.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 48 sq cm (c) 144 sq cm (d) 169 sq cm
- 13.A rectangle has an area of 90 sq cm and a length of 15 cm. What is its width? (a) 12 cm (b) 75 cm (c) 7 cm (d) 6 cm
- 14.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 25 sq cm (c) 20 sq cm (d) 10 sq cm
- 15.A rectangle is 12 cm long and 10 cm wide. What is its perimeter? (a) 44 cm (b) 22 cm (c) 120 cm (d) 34 cm
- 16.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 11 sq cm (b) 22 sq cm (c) 27 sq cm (d) 18 sq cm
- 17.A rectangle is 19 cm long and 4 cm wide. What is its area? (a) 95 sq cm (b) 76 sq cm (c) 23 sq cm (d) 46 sq cm
- 18.A rectangle is 10 cm long and 8 cm wide. What is its perimeter? (a) 36 cm (b) 28 cm (c) 80 cm (d) 18 cm
- 19.A rectangle is 19 cm long and 7 cm wide. What is its area? (a) 52 sq cm (b) 26 sq cm (c) 152 sq cm (d) 133 sq cm
- 20.A rectangle is 20 cm long and 2 cm wide. What is its perimeter? (a) 42 cm (b) 22 cm (c) 40 cm (d) 44 cm
- 21.A rectangle is 20 cm long and 5 cm wide. What is its area? (a) 120 sq cm (b) 25 sq cm (c) 100 sq cm (d) 50 sq cm
- 22.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 20 sq cm (c) 121 sq cm (d) 100 sq cm
- 23.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 24 sq cm (c) 36 sq cm (d) 49 sq cm
- 24.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
- 25.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 49 sq cm (c) 28 sq cm (d) 64 sq cm
- 26.A rectangle is 9 cm long and 3 cm wide. What is its perimeter? (a) 27 cm (b) 12 cm (c) 24 cm (d) 21 cm
- 27.A rectangle is 11 cm long and 10 cm wide. What is its area? (a) 21 sq cm (b) 121 sq cm (c) 42 sq cm (d) 110 sq cm
- 28.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 17 cm (b) 20 cm (c) 21 cm (d) 10 cm
- 29.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 12 sq cm (b) 16 sq cm (c) 8 sq cm (d) 18 sq cm
- 30.A rectangle is 12 cm long and 5 cm wide. What is its area? (a) 17 sq cm (b) 34 sq cm (c) 72 sq cm (d) 60 sq cm
- 31.A rectangle has an area of 8 sq cm and a length of 4 cm. What is its width? (a) 4 cm (b) 3 cm (c) 1 cm (d) 2 cm
- 32.A rectangle is 13 cm long and 12 cm wide. What is its area? (a) 156 sq cm (b) 169 sq cm (c) 25 sq cm (d) 50 sq cm
- 33.A rectangle has an area of 35 sq cm and a length of 7 cm. What is its width? (a) 6 cm (b) 28 cm (c) 5 cm (d) 10 cm
- 34.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 14 sq cm (b) 48 sq cm (c) 28 sq cm (d) 56 sq cm
- 35.A rectangle has an area of 88 sq cm and a length of 11 cm. What is its width? (a) 77 cm (b) 9 cm (c) 8 cm (d) 16 cm
- 36.A rectangle is 11 cm long and 6 cm wide. What is its perimeter? (a) 28 cm (b) 17 cm (c) 34 cm (d) 66 cm
- 37.A rectangle is 19 cm long and 2 cm wide. What is its perimeter? (a) 21 cm (b) 38 cm (c) 40 cm (d) 42 cm
- 38.A rectangle is 16 cm long and 11 cm wide. What is its area? (a) 54 sq cm (b) 27 sq cm (c) 192 sq cm (d) 176 sq cm
- 39.A rectangle is 9 cm long and 6 cm wide. What is its area? (a) 30 sq cm (b) 63 sq cm (c) 15 sq cm (d) 54 sq cm
- 40.A rectangle has an area of 140 sq cm and a length of 14 cm. What is its width? (a) 11 cm (b) 20 cm (c) 10 cm (d) 126 cm
Answer key
- 121 sq cm
- 196 sq cm
- 24 cm
- 8 cm
- 240 sq cm
- 102 sq cm
- 34 cm
- 5 cm
- 30 cm
- 32 cm
- 20 sq cm
- 144 sq cm
- 6 cm
- 25 sq cm
- 44 cm
- 18 sq cm
- 76 sq cm
- 36 cm
- 133 sq cm
- 44 cm
- 100 sq cm
- 100 sq cm
- 36 sq cm
- 225 sq cm
- 49 sq cm
- 24 cm
- 110 sq cm
- 20 cm
- 12 sq cm
- 60 sq cm
- 2 cm
- 156 sq cm
- 5 cm
- 48 sq cm
- 8 cm
- 34 cm
- 42 cm
- 176 sq cm
- 54 sq cm
- 10 cm
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