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 60 cm. What is its area? (a) 225 sq cm (b) 256 sq cm (c) 30 sq cm (d) 60 sq cm
- 2.A rectangle is 13 cm long and 5 cm wide. What is its perimeter? (a) 18 cm (b) 65 cm (c) 36 cm (d) 31 cm
- 3.A rectangle is 19 cm long and 4 cm wide. What is its area? (a) 46 sq cm (b) 76 sq cm (c) 23 sq cm (d) 95 sq cm
- 4.A rectangle is 20 cm long and 8 cm wide. What is its area? (a) 180 sq cm (b) 28 sq cm (c) 160 sq cm (d) 56 sq cm
- 5.A rectangle is 19 cm long and 2 cm wide. What is its perimeter? (a) 21 cm (b) 38 cm (c) 42 cm (d) 40 cm
- 6.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 21 sq cm (d) 28 sq cm
- 7.A rectangle has an area of 99 sq cm and a length of 11 cm. What is its width? (a) 18 cm (b) 10 cm (c) 88 cm (d) 9 cm
- 8.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 28 sq cm (c) 64 sq cm (d) 49 sq cm
- 9.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 28 cm (b) 11 cm (c) 18 cm (d) 22 cm
- 10.A rectangle is 18 cm long and 8 cm wide. What is its area? (a) 26 sq cm (b) 144 sq cm (c) 162 sq cm (d) 52 sq cm
- 11.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
- 12.A rectangle has an area of 32 sq cm and a length of 16 cm. What is its width? (a) 4 cm (b) 16 cm (c) 3 cm (d) 2 cm
- 13.A rectangle has an area of 70 sq cm and a length of 10 cm. What is its width? (a) 60 cm (b) 8 cm (c) 14 cm (d) 7 cm
- 14.A rectangle is 20 cm long and 2 cm wide. What is its perimeter? (a) 42 cm (b) 22 cm (c) 44 cm (d) 40 cm
- 15.A rectangle is 17 cm long and 3 cm wide. What is its perimeter? (a) 40 cm (b) 37 cm (c) 51 cm (d) 20 cm
- 16.A rectangle has an area of 27 sq cm and a length of 9 cm. What is its width? (a) 6 cm (b) 18 cm (c) 3 cm (d) 4 cm
- 17.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 20 cm (b) 16 cm (c) 18 cm (d) 10 cm
- 18.A rectangle is 8 cm long and 4 cm wide. What is its perimeter? (a) 12 cm (b) 24 cm (c) 32 cm (d) 20 cm
- 19.A rectangle is 16 cm long and 6 cm wide. What is its perimeter? (a) 38 cm (b) 22 cm (c) 96 cm (d) 44 cm
- 20.A rectangle is 15 cm long and 3 cm wide. What is its perimeter? (a) 45 cm (b) 18 cm (c) 36 cm (d) 33 cm
- 21.A rectangle has an area of 40 sq cm and a length of 10 cm. What is its width? (a) 5 cm (b) 30 cm (c) 4 cm (d) 8 cm
- 22.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 14 cm (b) 18 cm (c) 9 cm (d) 16 cm
- 23.A rectangle has an area of 60 sq cm and a length of 15 cm. What is its width? (a) 5 cm (b) 8 cm (c) 4 cm (d) 45 cm
- 24.A rectangle has an area of 75 sq cm and a length of 15 cm. What is its width? (a) 5 cm (b) 60 cm (c) 6 cm (d) 10 cm
- 25.A rectangle has an area of 136 sq cm and a length of 17 cm. What is its width? (a) 119 cm (b) 16 cm (c) 9 cm (d) 8 cm
- 26.A rectangle has an area of 50 sq cm and a length of 10 cm. What is its width? (a) 6 cm (b) 5 cm (c) 10 cm (d) 40 cm
- 27.A rectangle is 14 cm long and 4 cm wide. What is its perimeter? (a) 36 cm (b) 32 cm (c) 18 cm (d) 56 cm
- 28.A rectangle is 13 cm long and 5 cm wide. What is its area? (a) 18 sq cm (b) 78 sq cm (c) 36 sq cm (d) 65 sq cm
- 29.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 100 sq cm (c) 40 sq cm (d) 121 sq cm
- 30.A rectangle is 9 cm long and 4 cm wide. What is its perimeter? (a) 13 cm (b) 36 cm (c) 26 cm (d) 22 cm
- 31.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 18 sq cm (c) 36 sq cm (d) 81 sq cm
- 32.A rectangle is 14 cm long and 3 cm wide. What is its perimeter? (a) 42 cm (b) 17 cm (c) 31 cm (d) 34 cm
- 33.A square has a perimeter of 32 cm. What is its area? (a) 64 sq cm (b) 81 sq cm (c) 32 sq cm (d) 16 sq cm
- 34.A rectangle has an area of 26 sq cm and a length of 13 cm. What is its width? (a) 2 cm (b) 13 cm (c) 4 cm (d) 3 cm
- 35.A rectangle is 18 cm long and 4 cm wide. What is its area? (a) 44 sq cm (b) 90 sq cm (c) 22 sq cm (d) 72 sq cm
- 36.A rectangle has an area of 56 sq cm and a length of 8 cm. What is its width? (a) 8 cm (b) 48 cm (c) 7 cm (d) 14 cm
- 37.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 24 sq cm (c) 36 sq cm (d) 12 sq cm
- 38.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 225 sq cm (c) 56 sq cm (d) 196 sq cm
- 39.A rectangle is 14 cm long and 3 cm wide. What is its area? (a) 34 sq cm (b) 17 sq cm (c) 42 sq cm (d) 56 sq cm
- 40.A rectangle is 9 cm long and 7 cm wide. What is its perimeter? (a) 63 cm (b) 25 cm (c) 32 cm (d) 16 cm
Answer key
- 225 sq cm
- 36 cm
- 76 sq cm
- 160 sq cm
- 42 cm
- 21 sq cm
- 9 cm
- 49 sq cm
- 22 cm
- 144 sq cm
- 121 sq cm
- 2 cm
- 7 cm
- 44 cm
- 40 cm
- 3 cm
- 20 cm
- 24 cm
- 44 cm
- 36 cm
- 4 cm
- 18 cm
- 4 cm
- 5 cm
- 8 cm
- 5 cm
- 36 cm
- 65 sq cm
- 100 sq cm
- 26 cm
- 81 sq cm
- 34 cm
- 64 sq cm
- 2 cm
- 72 sq cm
- 7 cm
- 36 sq cm
- 196 sq cm
- 42 sq cm
- 32 cm
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