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 20 cm. What is its area? (a) 10 sq cm (b) 20 sq cm (c) 36 sq cm (d) 25 sq cm
- 2.A rectangle has an area of 90 sq cm and a length of 18 cm. What is its width? (a) 10 cm (b) 5 cm (c) 72 cm (d) 6 cm
- 3.A rectangle is 8 cm long and 4 cm wide. What is its perimeter? (a) 32 cm (b) 24 cm (c) 20 cm (d) 12 cm
- 4.A square has a perimeter of 44 cm. What is its area? (a) 121 sq cm (b) 22 sq cm (c) 44 sq cm (d) 144 sq cm
- 5.A rectangle is 10 cm long and 7 cm wide. What is its area? (a) 34 sq cm (b) 17 sq cm (c) 80 sq cm (d) 70 sq cm
- 6.A square has a perimeter of 36 cm. What is its area? (a) 81 sq cm (b) 100 sq cm (c) 18 sq cm (d) 36 sq cm
- 7.A rectangle is 14 cm long and 4 cm wide. What is its perimeter? (a) 18 cm (b) 56 cm (c) 32 cm (d) 36 cm
- 8.A rectangle is 20 cm long and 9 cm wide. What is its area? (a) 200 sq cm (b) 180 sq cm (c) 29 sq cm (d) 58 sq cm
- 9.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 26 sq cm (c) 52 sq cm (d) 169 sq cm
- 10.A rectangle is 11 cm long and 7 cm wide. What is its perimeter? (a) 18 cm (b) 36 cm (c) 77 cm (d) 29 cm
- 11.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 11 sq cm (b) 22 sq cm (c) 36 sq cm (d) 30 sq cm
- 12.A rectangle has an area of 50 sq cm and a length of 10 cm. What is its width? (a) 40 cm (b) 6 cm (c) 5 cm (d) 10 cm
- 13.A rectangle is 13 cm long and 11 cm wide. What is its perimeter? (a) 143 cm (b) 24 cm (c) 48 cm (d) 37 cm
- 14.A rectangle is 11 cm long and 2 cm wide. What is its area? (a) 26 sq cm (b) 13 sq cm (c) 33 sq cm (d) 22 sq cm
- 15.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 28 sq cm (c) 14 sq cm (d) 49 sq cm
- 16.A rectangle is 8 cm long and 5 cm wide. What is its perimeter? (a) 13 cm (b) 26 cm (c) 21 cm (d) 40 cm
- 17.A rectangle has an area of 150 sq cm and a length of 15 cm. What is its width? (a) 20 cm (b) 11 cm (c) 10 cm (d) 135 cm
- 18.A rectangle is 13 cm long and 3 cm wide. What is its area? (a) 39 sq cm (b) 32 sq cm (c) 16 sq cm (d) 52 sq cm
- 19.A rectangle is 12 cm long and 11 cm wide. What is its area? (a) 144 sq cm (b) 132 sq cm (c) 23 sq cm (d) 46 sq cm
- 20.A rectangle is 16 cm long and 6 cm wide. What is its perimeter? (a) 38 cm (b) 96 cm (c) 44 cm (d) 22 cm
- 21.A rectangle is 12 cm long and 9 cm wide. What is its area? (a) 42 sq cm (b) 120 sq cm (c) 108 sq cm (d) 21 sq cm
- 22.A square has a perimeter of 32 cm. What is its area? (a) 64 sq cm (b) 16 sq cm (c) 81 sq cm (d) 32 sq cm
- 23.A rectangle is 15 cm long and 9 cm wide. What is its area? (a) 135 sq cm (b) 48 sq cm (c) 24 sq cm (d) 150 sq cm
- 24.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 56 sq cm (c) 225 sq cm (d) 196 sq cm
- 25.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 22 cm (b) 11 cm (c) 28 cm (d) 18 cm
- 26.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 32 sq cm (c) 22 sq cm (d) 11 sq cm
- 27.A rectangle is 14 cm long and 8 cm wide. What is its perimeter? (a) 44 cm (b) 22 cm (c) 112 cm (d) 36 cm
- 28.A rectangle is 10 cm long and 3 cm wide. What is its area? (a) 13 sq cm (b) 40 sq cm (c) 26 sq cm (d) 30 sq cm
- 29.A rectangle is 8 cm long and 6 cm wide. What is its perimeter? (a) 14 cm (b) 22 cm (c) 48 cm (d) 28 cm
- 30.A rectangle has an area of 180 sq cm and a length of 20 cm. What is its width? (a) 9 cm (b) 18 cm (c) 10 cm (d) 160 cm
- 31.A rectangle is 10 cm long and 8 cm wide. What is its perimeter? (a) 28 cm (b) 80 cm (c) 36 cm (d) 18 cm
- 32.A square has a perimeter of 60 cm. What is its area? (a) 225 sq cm (b) 30 sq cm (c) 256 sq cm (d) 60 sq cm
- 33.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 17 cm (b) 11 cm (c) 22 cm (d) 30 cm
- 34.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 18 sq cm (b) 24 sq cm (c) 19 sq cm (d) 9 sq cm
- 35.A rectangle is 10 cm long and 4 cm wide. What is its area? (a) 40 sq cm (b) 28 sq cm (c) 14 sq cm (d) 50 sq cm
- 36.A rectangle is 20 cm long and 8 cm wide. What is its perimeter? (a) 28 cm (b) 160 cm (c) 56 cm (d) 48 cm
- 37.A rectangle is 13 cm long and 9 cm wide. What is its area? (a) 130 sq cm (b) 44 sq cm (c) 117 sq cm (d) 22 sq cm
- 38.A rectangle has an area of 160 sq cm and a length of 20 cm. What is its width? (a) 9 cm (b) 140 cm (c) 8 cm (d) 16 cm
- 39.A rectangle is 19 cm long and 9 cm wide. What is its perimeter? (a) 171 cm (b) 28 cm (c) 47 cm (d) 56 cm
- 40.A rectangle has an area of 68 sq cm and a length of 17 cm. What is its width? (a) 8 cm (b) 5 cm (c) 51 cm (d) 4 cm
Answer key
- 25 sq cm
- 5 cm
- 24 cm
- 121 sq cm
- 70 sq cm
- 81 sq cm
- 36 cm
- 180 sq cm
- 169 sq cm
- 36 cm
- 30 sq cm
- 5 cm
- 48 cm
- 22 sq cm
- 49 sq cm
- 26 cm
- 10 cm
- 39 sq cm
- 132 sq cm
- 44 cm
- 108 sq cm
- 64 sq cm
- 135 sq cm
- 196 sq cm
- 22 cm
- 24 sq cm
- 44 cm
- 30 sq cm
- 28 cm
- 9 cm
- 36 cm
- 225 sq cm
- 22 cm
- 18 sq cm
- 40 sq cm
- 56 cm
- 117 sq cm
- 8 cm
- 56 cm
- 4 cm
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