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 32 cm. What is its area? (a) 81 sq cm (b) 32 sq cm (c) 64 sq cm (d) 16 sq cm
- 2.A rectangle is 16 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 32 sq cm (c) 36 sq cm (d) 48 sq cm
- 3.A rectangle is 17 cm long and 7 cm wide. What is its area? (a) 24 sq cm (b) 48 sq cm (c) 136 sq cm (d) 119 sq cm
- 4.A rectangle is 15 cm long and 5 cm wide. What is its perimeter? (a) 35 cm (b) 20 cm (c) 40 cm (d) 75 cm
- 5.A rectangle is 12 cm long and 10 cm wide. What is its perimeter? (a) 120 cm (b) 22 cm (c) 34 cm (d) 44 cm
- 6.A rectangle is 9 cm long and 7 cm wide. What is its area? (a) 32 sq cm (b) 63 sq cm (c) 72 sq cm (d) 16 sq cm
- 7.A rectangle is 9 cm long and 6 cm wide. What is its perimeter? (a) 30 cm (b) 15 cm (c) 24 cm (d) 54 cm
- 8.A rectangle is 13 cm long and 11 cm wide. What is its area? (a) 48 sq cm (b) 143 sq cm (c) 156 sq cm (d) 24 sq cm
- 9.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 22 sq cm (c) 44 sq cm (d) 121 sq cm
- 10.A rectangle is 14 cm long and 7 cm wide. What is its area? (a) 42 sq cm (b) 98 sq cm (c) 112 sq cm (d) 21 sq cm
- 11.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 52 sq cm (c) 169 sq cm (d) 26 sq cm
- 12.A rectangle is 18 cm long and 7 cm wide. What is its perimeter? (a) 25 cm (b) 50 cm (c) 126 cm (d) 43 cm
- 13.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
- 14.A rectangle is 17 cm long and 3 cm wide. What is its perimeter? (a) 20 cm (b) 40 cm (c) 37 cm (d) 51 cm
- 15.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 8 sq cm (b) 12 sq cm (c) 16 sq cm (d) 18 sq cm
- 16.A rectangle has an area of 8 sq cm and a length of 4 cm. What is its width? (a) 1 cm (b) 2 cm (c) 4 cm (d) 3 cm
- 17.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 60 sq cm (c) 30 sq cm (d) 225 sq cm
- 18.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 49 sq cm (c) 64 sq cm (d) 14 sq cm
- 19.A rectangle has an area of 48 sq cm and a length of 12 cm. What is its width? (a) 4 cm (b) 36 cm (c) 8 cm (d) 5 cm
- 20.A rectangle is 18 cm long and 9 cm wide. What is its perimeter? (a) 162 cm (b) 45 cm (c) 54 cm (d) 27 cm
- 21.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 15 cm (b) 18 cm (c) 19 cm (d) 9 cm
- 22.A rectangle is 15 cm long and 12 cm wide. What is its perimeter? (a) 180 cm (b) 42 cm (c) 54 cm (d) 27 cm
- 23.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 32 sq cm (b) 24 sq cm (c) 40 sq cm (d) 12 sq cm
- 24.A rectangle is 13 cm long and 6 cm wide. What is its perimeter? (a) 19 cm (b) 78 cm (c) 32 cm (d) 38 cm
- 25.A rectangle has an area of 30 sq cm and a length of 6 cm. What is its width? (a) 24 cm (b) 10 cm (c) 5 cm (d) 6 cm
- 26.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 9 sq cm (b) 18 sq cm (c) 19 sq cm (d) 24 sq cm
- 27.A rectangle is 13 cm long and 6 cm wide. What is its area? (a) 78 sq cm (b) 38 sq cm (c) 19 sq cm (d) 91 sq cm
- 28.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
- 29.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 22 sq cm (b) 11 sq cm (c) 28 sq cm (d) 35 sq cm
- 30.A rectangle has an area of 66 sq cm and a length of 11 cm. What is its width? (a) 6 cm (b) 12 cm (c) 55 cm (d) 7 cm
- 31.A rectangle has an area of 88 sq cm and a length of 11 cm. What is its width? (a) 9 cm (b) 77 cm (c) 16 cm (d) 8 cm
- 32.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 20 sq cm (c) 36 sq cm (d) 25 sq cm
- 33.A rectangle has an area of 42 sq cm and a length of 7 cm. What is its width? (a) 6 cm (b) 12 cm (c) 7 cm (d) 35 cm
- 34.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
- 35.A rectangle is 12 cm long and 4 cm wide. What is its area? (a) 60 sq cm (b) 48 sq cm (c) 32 sq cm (d) 16 sq cm
- 36.A rectangle has an area of 21 sq cm and a length of 7 cm. What is its width? (a) 6 cm (b) 14 cm (c) 4 cm (d) 3 cm
- 37.A rectangle is 18 cm long and 8 cm wide. What is its area? (a) 52 sq cm (b) 26 sq cm (c) 144 sq cm (d) 162 sq cm
- 38.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 30 cm (b) 11 cm (c) 17 cm (d) 22 cm
- 39.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 26 sq cm (b) 49 sq cm (c) 42 sq cm (d) 13 sq cm
- 40.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 225 sq cm (c) 196 sq cm (d) 56 sq cm
Answer key
- 64 sq cm
- 32 sq cm
- 119 sq cm
- 40 cm
- 44 cm
- 63 sq cm
- 30 cm
- 143 sq cm
- 121 sq cm
- 98 sq cm
- 169 sq cm
- 50 cm
- 36 sq cm
- 40 cm
- 12 sq cm
- 2 cm
- 225 sq cm
- 49 sq cm
- 4 cm
- 54 cm
- 18 cm
- 54 cm
- 32 sq cm
- 38 cm
- 5 cm
- 18 sq cm
- 78 sq cm
- 36 sq cm
- 28 sq cm
- 6 cm
- 8 cm
- 25 sq cm
- 6 cm
- 81 sq cm
- 48 sq cm
- 3 cm
- 144 sq cm
- 22 cm
- 42 sq cm
- 196 sq cm
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