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 20 cm. What is its area? (a) 25 sq cm (b) 10 sq cm (c) 20 sq cm (d) 36 sq cm
- 2.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 11 cm (b) 17 cm (c) 22 cm (d) 30 cm
- 3.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 169 sq cm (c) 24 sq cm (d) 144 sq cm
- 4.A rectangle has an area of 120 sq cm and a length of 20 cm. What is its width? (a) 100 cm (b) 7 cm (c) 6 cm (d) 12 cm
- 5.A rectangle is 18 cm long and 5 cm wide. What is its area? (a) 108 sq cm (b) 46 sq cm (c) 90 sq cm (d) 23 sq cm
- 6.A rectangle has an area of 168 sq cm and a length of 14 cm. What is its width? (a) 13 cm (b) 24 cm (c) 154 cm (d) 12 cm
- 7.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 18 cm (c) 14 cm (d) 9 cm
- 8.A square has a perimeter of 28 cm. What is its area? (a) 49 sq cm (b) 28 sq cm (c) 64 sq cm (d) 14 sq cm
- 9.A rectangle is 8 cm long and 5 cm wide. What is its area? (a) 40 sq cm (b) 13 sq cm (c) 26 sq cm (d) 48 sq cm
- 10.A rectangle is 17 cm long and 5 cm wide. What is its area? (a) 102 sq cm (b) 85 sq cm (c) 22 sq cm (d) 44 sq cm
- 11.A rectangle is 17 cm long and 10 cm wide. What is its area? (a) 27 sq cm (b) 187 sq cm (c) 54 sq cm (d) 170 sq cm
- 12.A square has a perimeter of 52 cm. What is its area? (a) 169 sq cm (b) 196 sq cm (c) 26 sq cm (d) 52 sq cm
- 13.A rectangle has an area of 57 sq cm and a length of 19 cm. What is its width? (a) 4 cm (b) 6 cm (c) 3 cm (d) 38 cm
- 14.A rectangle is 11 cm long and 7 cm wide. What is its perimeter? (a) 18 cm (b) 29 cm (c) 36 cm (d) 77 cm
- 15.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 81 sq cm (c) 64 sq cm (d) 16 sq cm
- 16.A rectangle is 19 cm long and 5 cm wide. What is its area? (a) 24 sq cm (b) 114 sq cm (c) 48 sq cm (d) 95 sq cm
- 17.A square has a perimeter of 36 cm. What is its area? (a) 81 sq cm (b) 36 sq cm (c) 18 sq cm (d) 100 sq cm
- 18.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 14 sq cm (b) 9 sq cm (c) 18 sq cm (d) 21 sq cm
- 19.A rectangle is 16 cm long and 5 cm wide. What is its area? (a) 42 sq cm (b) 96 sq cm (c) 21 sq cm (d) 80 sq cm
- 20.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 16 cm (b) 20 cm (c) 24 cm (d) 10 cm
- 21.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 24 sq cm (b) 30 sq cm (c) 10 sq cm (d) 20 sq cm
- 22.A rectangle is 16 cm long and 11 cm wide. What is its area? (a) 192 sq cm (b) 27 sq cm (c) 54 sq cm (d) 176 sq cm
- 23.A rectangle is 19 cm long and 8 cm wide. What is its area? (a) 171 sq cm (b) 54 sq cm (c) 27 sq cm (d) 152 sq cm
- 24.A rectangle has an area of 84 sq cm and a length of 12 cm. What is its width? (a) 8 cm (b) 14 cm (c) 72 cm (d) 7 cm
- 25.A rectangle is 11 cm long and 7 cm wide. What is its area? (a) 36 sq cm (b) 88 sq cm (c) 18 sq cm (d) 77 sq cm
- 26.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 225 sq cm (c) 28 sq cm (d) 56 sq cm
- 27.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 49 sq cm (c) 12 sq cm (d) 36 sq cm
- 28.A rectangle is 10 cm long and 2 cm wide. What is its area? (a) 12 sq cm (b) 30 sq cm (c) 24 sq cm (d) 20 sq cm
- 29.A rectangle has an area of 96 sq cm and a length of 12 cm. What is its width? (a) 16 cm (b) 8 cm (c) 9 cm (d) 84 cm
- 30.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
- 31.A rectangle has an area of 60 sq cm and a length of 12 cm. What is its width? (a) 5 cm (b) 10 cm (c) 6 cm (d) 48 cm
- 32.A rectangle is 15 cm long and 6 cm wide. What is its perimeter? (a) 42 cm (b) 90 cm (c) 21 cm (d) 36 cm
- 33.A rectangle is 14 cm long and 7 cm wide. What is its area? (a) 21 sq cm (b) 98 sq cm (c) 42 sq cm (d) 112 sq cm
- 34.A rectangle has an area of 120 sq cm and a length of 15 cm. What is its width? (a) 9 cm (b) 8 cm (c) 16 cm (d) 105 cm
- 35.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 24 sq cm (d) 16 sq cm
- 36.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 256 sq cm (c) 60 sq cm (d) 225 sq cm
- 37.A rectangle is 18 cm long and 6 cm wide. What is its perimeter? (a) 42 cm (b) 48 cm (c) 108 cm (d) 24 cm
- 38.A rectangle is 17 cm long and 2 cm wide. What is its perimeter? (a) 36 cm (b) 34 cm (c) 19 cm (d) 38 cm
- 39.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 19 cm (b) 35 cm (c) 12 cm (d) 24 cm
- 40.A rectangle has an area of 95 sq cm and a length of 19 cm. What is its width? (a) 76 cm (b) 10 cm (c) 5 cm (d) 6 cm
Answer key
- 25 sq cm
- 22 cm
- 144 sq cm
- 6 cm
- 90 sq cm
- 12 cm
- 18 cm
- 49 sq cm
- 40 sq cm
- 85 sq cm
- 170 sq cm
- 169 sq cm
- 3 cm
- 36 cm
- 64 sq cm
- 95 sq cm
- 81 sq cm
- 14 sq cm
- 80 sq cm
- 20 cm
- 24 sq cm
- 176 sq cm
- 152 sq cm
- 7 cm
- 77 sq cm
- 196 sq cm
- 36 sq cm
- 20 sq cm
- 8 cm
- 100 sq cm
- 5 cm
- 42 cm
- 98 sq cm
- 8 cm
- 16 sq cm
- 225 sq cm
- 48 cm
- 38 cm
- 24 cm
- 5 cm
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