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 rectangle is 10 cm long and 2 cm wide. What is its area? (a) 24 sq cm (b) 12 sq cm (c) 30 sq cm (d) 20 sq cm
- 2.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 36 sq cm (c) 49 sq cm (d) 24 sq cm
- 3.A square has a perimeter of 44 cm. What is its area? (a) 121 sq cm (b) 22 sq cm (c) 144 sq cm (d) 44 sq cm
- 4.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 64 sq cm (c) 28 sq cm (d) 49 sq cm
- 5.A rectangle has an area of 104 sq cm and a length of 13 cm. What is its width? (a) 16 cm (b) 8 cm (c) 9 cm (d) 91 cm
- 6.A rectangle is 19 cm long and 5 cm wide. What is its area? (a) 48 sq cm (b) 24 sq cm (c) 114 sq cm (d) 95 sq cm
- 7.A rectangle is 11 cm long and 4 cm wide. What is its perimeter? (a) 30 cm (b) 26 cm (c) 15 cm (d) 44 cm
- 8.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 196 sq cm (c) 169 sq cm (d) 26 sq cm
- 9.A rectangle has an area of 76 sq cm and a length of 19 cm. What is its width? (a) 4 cm (b) 8 cm (c) 57 cm (d) 5 cm
- 10.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 20 sq cm (c) 25 sq cm (d) 10 sq cm
- 11.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 18 cm (b) 11 cm (c) 28 cm (d) 22 cm
- 12.A rectangle has an area of 48 sq cm and a length of 12 cm. What is its width? (a) 5 cm (b) 4 cm (c) 8 cm (d) 36 cm
- 13.A rectangle is 17 cm long and 9 cm wide. What is its area? (a) 153 sq cm (b) 170 sq cm (c) 52 sq cm (d) 26 sq cm
- 14.A rectangle is 11 cm long and 4 cm wide. What is its area? (a) 55 sq cm (b) 44 sq cm (c) 30 sq cm (d) 15 sq cm
- 15.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 8 cm (b) 14 cm (c) 16 cm (d) 12 cm
- 16.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 27 sq cm (b) 22 sq cm (c) 11 sq cm (d) 18 sq cm
- 17.A rectangle is 12 cm long and 4 cm wide. What is its perimeter? (a) 28 cm (b) 16 cm (c) 48 cm (d) 32 cm
- 18.A rectangle has an area of 198 sq cm and a length of 18 cm. What is its width? (a) 11 cm (b) 22 cm (c) 12 cm (d) 180 cm
- 19.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) 12 cm (d) 11 cm
- 20.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
- 21.A rectangle is 18 cm long and 2 cm wide. What is its area? (a) 36 sq cm (b) 54 sq cm (c) 40 sq cm (d) 20 sq cm
- 22.A rectangle is 9 cm long and 4 cm wide. What is its perimeter? (a) 22 cm (b) 26 cm (c) 36 cm (d) 13 cm
- 23.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 18 sq cm (b) 24 sq cm (c) 9 sq cm (d) 19 sq cm
- 24.A rectangle is 14 cm long and 3 cm wide. What is its area? (a) 56 sq cm (b) 42 sq cm (c) 17 sq cm (d) 34 sq cm
- 25.A rectangle is 16 cm long and 12 cm wide. What is its area? (a) 28 sq cm (b) 56 sq cm (c) 192 sq cm (d) 208 sq cm
- 26.A rectangle has an area of 220 sq cm and a length of 20 cm. What is its width? (a) 12 cm (b) 22 cm (c) 200 cm (d) 11 cm
- 27.A rectangle is 15 cm long and 2 cm wide. What is its area? (a) 17 sq cm (b) 30 sq cm (c) 34 sq cm (d) 45 sq cm
- 28.A rectangle has an area of 98 sq cm and a length of 14 cm. What is its width? (a) 84 cm (b) 8 cm (c) 7 cm (d) 14 cm
- 29.A rectangle has an area of 95 sq cm and a length of 19 cm. What is its width? (a) 10 cm (b) 6 cm (c) 76 cm (d) 5 cm
- 30.A rectangle has an area of 32 sq cm and a length of 16 cm. What is its width? (a) 3 cm (b) 4 cm (c) 16 cm (d) 2 cm
- 31.A rectangle is 12 cm long and 3 cm wide. What is its perimeter? (a) 30 cm (b) 36 cm (c) 27 cm (d) 15 cm
- 32.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 81 sq cm (c) 18 sq cm (d) 100 sq cm
- 33.A rectangle is 20 cm long and 12 cm wide. What is its perimeter? (a) 240 cm (b) 32 cm (c) 52 cm (d) 64 cm
- 34.A rectangle has an area of 152 sq cm and a length of 19 cm. What is its width? (a) 133 cm (b) 16 cm (c) 8 cm (d) 9 cm
- 35.A rectangle is 14 cm long and 8 cm wide. What is its perimeter? (a) 44 cm (b) 112 cm (c) 36 cm (d) 22 cm
- 36.A rectangle has an area of 40 sq cm and a length of 8 cm. What is its width? (a) 5 cm (b) 32 cm (c) 10 cm (d) 6 cm
- 37.A rectangle is 14 cm long and 7 cm wide. What is its perimeter? (a) 35 cm (b) 42 cm (c) 21 cm (d) 98 cm
- 38.A rectangle has an area of 42 sq cm and a length of 7 cm. What is its width? (a) 12 cm (b) 35 cm (c) 7 cm (d) 6 cm
- 39.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 18 sq cm (c) 8 sq cm (d) 12 sq cm
- 40.A rectangle has an area of 150 sq cm and a length of 15 cm. What is its width? (a) 11 cm (b) 135 cm (c) 10 cm (d) 20 cm
Answer key
- 20 sq cm
- 36 sq cm
- 121 sq cm
- 49 sq cm
- 8 cm
- 95 sq cm
- 30 cm
- 169 sq cm
- 4 cm
- 25 sq cm
- 22 cm
- 4 cm
- 153 sq cm
- 44 sq cm
- 16 cm
- 18 sq cm
- 32 cm
- 11 cm
- 11 cm
- 196 sq cm
- 36 sq cm
- 26 cm
- 18 sq cm
- 42 sq cm
- 192 sq cm
- 11 cm
- 30 sq cm
- 7 cm
- 5 cm
- 2 cm
- 30 cm
- 81 sq cm
- 64 cm
- 8 cm
- 44 cm
- 5 cm
- 42 cm
- 6 cm
- 12 sq cm
- 10 cm
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