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 8 cm long and 4 cm wide. What is its perimeter? (a) 20 cm (b) 32 cm (c) 12 cm (d) 24 cm
- 2.A rectangle has an area of 90 sq cm and a length of 10 cm. What is its width? (a) 80 cm (b) 10 cm (c) 9 cm (d) 18 cm
- 3.A rectangle is 10 cm long and 4 cm wide. What is its area? (a) 40 sq cm (b) 14 sq cm (c) 28 sq cm (d) 50 sq cm
- 4.A rectangle is 20 cm long and 7 cm wide. What is its perimeter? (a) 140 cm (b) 27 cm (c) 47 cm (d) 54 cm
- 5.A rectangle has an area of 60 sq cm and a length of 10 cm. What is its width? (a) 6 cm (b) 12 cm (c) 7 cm (d) 50 cm
- 6.A rectangle is 9 cm long and 3 cm wide. What is its perimeter? (a) 24 cm (b) 21 cm (c) 12 cm (d) 27 cm
- 7.A rectangle is 12 cm long and 6 cm wide. What is its perimeter? (a) 30 cm (b) 72 cm (c) 18 cm (d) 36 cm
- 8.A rectangle has an area of 112 sq cm and a length of 16 cm. What is its width? (a) 14 cm (b) 8 cm (c) 96 cm (d) 7 cm
- 9.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 12 cm (c) 14 cm (d) 8 cm
- 10.A rectangle has an area of 63 sq cm and a length of 9 cm. What is its width? (a) 7 cm (b) 14 cm (c) 8 cm (d) 54 cm
- 11.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 256 sq cm (c) 225 sq cm (d) 30 sq cm
- 12.A rectangle has an area of 165 sq cm and a length of 15 cm. What is its width? (a) 12 cm (b) 11 cm (c) 150 cm (d) 22 cm
- 13.A rectangle is 14 cm long and 11 cm wide. What is its area? (a) 50 sq cm (b) 25 sq cm (c) 154 sq cm (d) 168 sq cm
- 14.A rectangle has an area of 52 sq cm and a length of 13 cm. What is its width? (a) 4 cm (b) 5 cm (c) 8 cm (d) 39 cm
- 15.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 10 sq cm (b) 24 sq cm (c) 30 sq cm (d) 20 sq cm
- 16.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 64 sq cm (c) 16 sq cm (d) 32 sq cm
- 17.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 45 sq cm (b) 14 sq cm (c) 28 sq cm (d) 54 sq cm
- 18.A rectangle has an area of 143 sq cm and a length of 13 cm. What is its width? (a) 11 cm (b) 22 cm (c) 12 cm (d) 130 cm
- 19.A rectangle is 17 cm long and 2 cm wide. What is its area? (a) 34 sq cm (b) 38 sq cm (c) 51 sq cm (d) 19 sq cm
- 20.A rectangle has an area of 162 sq cm and a length of 18 cm. What is its width? (a) 9 cm (b) 10 cm (c) 18 cm (d) 144 cm
- 21.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 35 cm (b) 24 cm (c) 19 cm (d) 12 cm
- 22.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 81 sq cm (c) 18 sq cm (d) 36 sq cm
- 23.A square has a perimeter of 52 cm. What is its area? (a) 26 sq cm (b) 52 sq cm (c) 196 sq cm (d) 169 sq cm
- 24.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 8 sq cm (c) 18 sq cm (d) 12 sq cm
- 25.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
- 26.A rectangle has an area of 22 sq cm and a length of 11 cm. What is its width? (a) 11 cm (b) 2 cm (c) 3 cm (d) 4 cm
- 27.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 17 cm (b) 22 cm (c) 30 cm (d) 11 cm
- 28.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 20 sq cm (c) 10 sq cm (d) 36 sq cm
- 29.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 100 sq cm (c) 20 sq cm (d) 40 sq cm
- 30.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 36 sq cm (b) 27 sq cm (c) 24 sq cm (d) 12 sq cm
- 31.A rectangle has an area of 90 sq cm and a length of 15 cm. What is its width? (a) 6 cm (b) 12 cm (c) 7 cm (d) 75 cm
- 32.A rectangle has an area of 110 sq cm and a length of 11 cm. What is its width? (a) 99 cm (b) 11 cm (c) 10 cm (d) 20 cm
- 33.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 56 sq cm (b) 30 sq cm (c) 64 sq cm (d) 15 sq cm
- 34.A rectangle is 19 cm long and 11 cm wide. What is its perimeter? (a) 60 cm (b) 209 cm (c) 49 cm (d) 30 cm
- 35.A rectangle is 18 cm long and 2 cm wide. What is its area? (a) 54 sq cm (b) 40 sq cm (c) 20 sq cm (d) 36 sq cm
- 36.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 15 cm (b) 9 cm (c) 18 cm (d) 19 cm
- 37.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 9 sq cm (b) 21 sq cm (c) 18 sq cm (d) 14 sq cm
- 38.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 18 sq cm (b) 19 sq cm (c) 24 sq cm (d) 9 sq cm
- 39.A rectangle has an area of 112 sq cm and a length of 14 cm. What is its width? (a) 16 cm (b) 98 cm (c) 9 cm (d) 8 cm
- 40.A rectangle is 16 cm long and 10 cm wide. What is its perimeter? (a) 42 cm (b) 26 cm (c) 52 cm (d) 160 cm
Answer key
- 24 cm
- 9 cm
- 40 sq cm
- 54 cm
- 6 cm
- 24 cm
- 36 cm
- 7 cm
- 16 cm
- 7 cm
- 225 sq cm
- 11 cm
- 154 sq cm
- 4 cm
- 24 sq cm
- 64 sq cm
- 45 sq cm
- 11 cm
- 34 sq cm
- 9 cm
- 24 cm
- 81 sq cm
- 169 sq cm
- 12 sq cm
- 36 sq cm
- 2 cm
- 22 cm
- 25 sq cm
- 100 sq cm
- 27 sq cm
- 6 cm
- 10 cm
- 56 sq cm
- 60 cm
- 36 sq cm
- 18 cm
- 14 sq cm
- 18 sq cm
- 8 cm
- 52 cm
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