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 has an area of 220 sq cm and a length of 20 cm. What is its width? (a) 200 cm (b) 11 cm (c) 12 cm (d) 22 cm
- 2.A rectangle is 15 cm long and 3 cm wide. What is its perimeter? (a) 45 cm (b) 36 cm (c) 18 cm (d) 33 cm
- 3.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 21 cm (b) 17 cm (c) 10 cm (d) 20 cm
- 4.A rectangle has an area of 63 sq cm and a length of 9 cm. What is its width? (a) 14 cm (b) 8 cm (c) 54 cm (d) 7 cm
- 5.A rectangle is 11 cm long and 2 cm wide. What is its perimeter? (a) 26 cm (b) 24 cm (c) 22 cm (d) 13 cm
- 6.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 26 sq cm (b) 13 sq cm (c) 45 sq cm (d) 36 sq cm
- 7.A rectangle is 9 cm long and 7 cm wide. What is its area? (a) 72 sq cm (b) 32 sq cm (c) 63 sq cm (d) 16 sq cm
- 8.A rectangle is 16 cm long and 4 cm wide. What is its perimeter? (a) 36 cm (b) 64 cm (c) 20 cm (d) 40 cm
- 9.A rectangle has an area of 192 sq cm and a length of 16 cm. What is its width? (a) 13 cm (b) 24 cm (c) 12 cm (d) 176 cm
- 10.A rectangle has an area of 75 sq cm and a length of 15 cm. What is its width? (a) 10 cm (b) 5 cm (c) 6 cm (d) 60 cm
- 11.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 48 sq cm (d) 56 sq cm
- 12.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 12 sq cm (c) 49 sq cm (d) 36 sq cm
- 13.A rectangle is 13 cm long and 10 cm wide. What is its area? (a) 46 sq cm (b) 143 sq cm (c) 23 sq cm (d) 130 sq cm
- 14.A rectangle is 17 cm long and 9 cm wide. What is its area? (a) 153 sq cm (b) 52 sq cm (c) 170 sq cm (d) 26 sq cm
- 15.A rectangle has an area of 154 sq cm and a length of 14 cm. What is its width? (a) 12 cm (b) 140 cm (c) 22 cm (d) 11 cm
- 16.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 26 cm (b) 20 cm (c) 13 cm (d) 42 cm
- 17.A rectangle has an area of 120 sq cm and a length of 12 cm. What is its width? (a) 108 cm (b) 20 cm (c) 11 cm (d) 10 cm
- 18.A rectangle is 18 cm long and 7 cm wide. What is its perimeter? (a) 25 cm (b) 126 cm (c) 43 cm (d) 50 cm
- 19.A rectangle is 13 cm long and 9 cm wide. What is its area? (a) 130 sq cm (b) 22 sq cm (c) 117 sq cm (d) 44 sq cm
- 20.A rectangle is 12 cm long and 5 cm wide. What is its area? (a) 60 sq cm (b) 72 sq cm (c) 17 sq cm (d) 34 sq cm
- 21.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 196 sq cm (c) 26 sq cm (d) 169 sq cm
- 22.A rectangle has an area of 12 sq cm and a length of 6 cm. What is its width? (a) 3 cm (b) 6 cm (c) 2 cm (d) 4 cm
- 23.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 21 sq cm (b) 20 sq cm (c) 10 sq cm (d) 28 sq cm
- 24.A rectangle has an area of 40 sq cm and a length of 20 cm. What is its width? (a) 3 cm (b) 2 cm (c) 4 cm (d) 20 cm
- 25.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 14 sq cm (b) 45 sq cm (c) 28 sq cm (d) 54 sq cm
- 26.A rectangle is 15 cm long and 5 cm wide. What is its area? (a) 75 sq cm (b) 90 sq cm (c) 40 sq cm (d) 20 sq cm
- 27.A rectangle is 13 cm long and 8 cm wide. What is its area? (a) 42 sq cm (b) 104 sq cm (c) 21 sq cm (d) 117 sq cm
- 28.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
- 29.A rectangle has an area of 55 sq cm and a length of 11 cm. What is its width? (a) 44 cm (b) 6 cm (c) 5 cm (d) 10 cm
- 30.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 18 cm (b) 9 cm (c) 14 cm (d) 16 cm
- 31.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 18 sq cm (c) 81 sq cm (d) 100 sq cm
- 32.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 36 sq cm (b) 22 sq cm (c) 30 sq cm (d) 11 sq cm
- 33.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
- 34.A rectangle has an area of 48 sq cm and a length of 16 cm. What is its width? (a) 4 cm (b) 32 cm (c) 3 cm (d) 6 cm
- 35.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
- 36.A rectangle is 15 cm long and 3 cm wide. What is its area? (a) 18 sq cm (b) 45 sq cm (c) 60 sq cm (d) 36 sq cm
- 37.A rectangle has an area of 18 sq cm and a length of 9 cm. What is its width? (a) 2 cm (b) 9 cm (c) 3 cm (d) 4 cm
- 38.A rectangle is 14 cm long and 11 cm wide. What is its perimeter? (a) 39 cm (b) 25 cm (c) 154 cm (d) 50 cm
- 39.A rectangle has an area of 165 sq cm and a length of 15 cm. What is its width? (a) 22 cm (b) 12 cm (c) 150 cm (d) 11 cm
- 40.A rectangle is 15 cm long and 7 cm wide. What is its area? (a) 22 sq cm (b) 44 sq cm (c) 105 sq cm (d) 120 sq cm
Answer key
- 11 cm
- 36 cm
- 20 cm
- 7 cm
- 26 cm
- 36 sq cm
- 63 sq cm
- 40 cm
- 12 cm
- 5 cm
- 48 sq cm
- 36 sq cm
- 130 sq cm
- 153 sq cm
- 11 cm
- 26 cm
- 10 cm
- 50 cm
- 117 sq cm
- 60 sq cm
- 169 sq cm
- 2 cm
- 21 sq cm
- 2 cm
- 45 sq cm
- 75 sq cm
- 104 sq cm
- 196 sq cm
- 5 cm
- 18 cm
- 81 sq cm
- 30 sq cm
- 52 cm
- 3 cm
- 100 sq cm
- 45 sq cm
- 2 cm
- 50 cm
- 11 cm
- 105 sq cm
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