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 19 cm long and 2 cm wide. What is its perimeter? (a) 40 cm (b) 42 cm (c) 21 cm (d) 38 cm
- 2.A rectangle has an area of 180 sq cm and a length of 15 cm. What is its width? (a) 12 cm (b) 165 cm (c) 24 cm (d) 13 cm
- 3.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 49 sq cm (c) 64 sq cm (d) 28 sq cm
- 4.A rectangle has an area of 36 sq cm and a length of 12 cm. What is its width? (a) 3 cm (b) 24 cm (c) 6 cm (d) 4 cm
- 5.A rectangle is 18 cm long and 7 cm wide. What is its area? (a) 25 sq cm (b) 50 sq cm (c) 126 sq cm (d) 144 sq cm
- 6.A rectangle is 10 cm long and 2 cm wide. What is its perimeter? (a) 22 cm (b) 20 cm (c) 24 cm (d) 12 cm
- 7.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 36 sq cm (b) 45 sq cm (c) 13 sq cm (d) 26 sq cm
- 8.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 36 sq cm (c) 100 sq cm (d) 81 sq cm
- 9.A rectangle is 11 cm long and 10 cm wide. What is its perimeter? (a) 21 cm (b) 42 cm (c) 32 cm (d) 110 cm
- 10.A rectangle is 11 cm long and 7 cm wide. What is its area? (a) 88 sq cm (b) 36 sq cm (c) 77 sq cm (d) 18 sq cm
- 11.A rectangle has an area of 84 sq cm and a length of 12 cm. What is its width? (a) 14 cm (b) 7 cm (c) 72 cm (d) 8 cm
- 12.A square has a perimeter of 40 cm. What is its area? (a) 100 sq cm (b) 40 sq cm (c) 20 sq cm (d) 121 sq cm
- 13.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 24 sq cm (b) 20 sq cm (c) 10 sq cm (d) 30 sq cm
- 14.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
- 15.A rectangle has an area of 24 sq cm and a length of 8 cm. What is its width? (a) 16 cm (b) 6 cm (c) 4 cm (d) 3 cm
- 16.A rectangle has an area of 35 sq cm and a length of 7 cm. What is its width? (a) 6 cm (b) 28 cm (c) 10 cm (d) 5 cm
- 17.A rectangle is 9 cm long and 6 cm wide. What is its area? (a) 30 sq cm (b) 15 sq cm (c) 54 sq cm (d) 63 sq cm
- 18.A rectangle is 14 cm long and 3 cm wide. What is its area? (a) 56 sq cm (b) 34 sq cm (c) 42 sq cm (d) 17 sq cm
- 19.A rectangle has an area of 144 sq cm and a length of 18 cm. What is its width? (a) 8 cm (b) 126 cm (c) 16 cm (d) 9 cm
- 20.A rectangle has an area of 126 sq cm and a length of 18 cm. What is its width? (a) 7 cm (b) 14 cm (c) 108 cm (d) 8 cm
- 21.A rectangle has an area of 57 sq cm and a length of 19 cm. What is its width? (a) 6 cm (b) 4 cm (c) 3 cm (d) 38 cm
- 22.A rectangle is 17 cm long and 3 cm wide. What is its area? (a) 51 sq cm (b) 20 sq cm (c) 68 sq cm (d) 40 sq cm
- 23.A rectangle has an area of 60 sq cm and a length of 12 cm. What is its width? (a) 48 cm (b) 6 cm (c) 10 cm (d) 5 cm
- 24.A square has a perimeter of 52 cm. What is its area? (a) 169 sq cm (b) 52 sq cm (c) 26 sq cm (d) 196 sq cm
- 25.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
- 26.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 56 sq cm (b) 64 sq cm (c) 15 sq cm (d) 30 sq cm
- 27.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 16 cm (b) 24 cm (c) 10 cm (d) 20 cm
- 28.A rectangle is 20 cm long and 6 cm wide. What is its perimeter? (a) 120 cm (b) 52 cm (c) 26 cm (d) 46 cm
- 29.A rectangle has an area of 117 sq cm and a length of 13 cm. What is its width? (a) 9 cm (b) 104 cm (c) 10 cm (d) 18 cm
- 30.A square has a perimeter of 24 cm. What is its area? (a) 36 sq cm (b) 24 sq cm (c) 12 sq cm (d) 49 sq cm
- 31.A rectangle is 19 cm long and 3 cm wide. What is its area? (a) 76 sq cm (b) 22 sq cm (c) 57 sq cm (d) 44 sq cm
- 32.A rectangle is 14 cm long and 12 cm wide. What is its perimeter? (a) 40 cm (b) 168 cm (c) 52 cm (d) 26 cm
- 33.A rectangle has an area of 140 sq cm and a length of 20 cm. What is its width? (a) 14 cm (b) 8 cm (c) 120 cm (d) 7 cm
- 34.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 28 sq cm (c) 225 sq cm (d) 196 sq cm
- 35.A rectangle has an area of 220 sq cm and a length of 20 cm. What is its width? (a) 200 cm (b) 12 cm (c) 11 cm (d) 22 cm
- 36.A square has a perimeter of 60 cm. What is its area? (a) 225 sq cm (b) 60 sq cm (c) 30 sq cm (d) 256 sq cm
- 37.A rectangle has an area of 128 sq cm and a length of 16 cm. What is its width? (a) 9 cm (b) 8 cm (c) 112 cm (d) 16 cm
- 38.A rectangle is 9 cm long and 4 cm wide. What is its perimeter? (a) 26 cm (b) 13 cm (c) 36 cm (d) 22 cm
- 39.A rectangle has an area of 200 sq cm and a length of 20 cm. What is its width? (a) 10 cm (b) 20 cm (c) 180 cm (d) 11 cm
- 40.A rectangle is 20 cm long and 7 cm wide. What is its area? (a) 160 sq cm (b) 140 sq cm (c) 27 sq cm (d) 54 sq cm
Answer key
- 42 cm
- 12 cm
- 49 sq cm
- 3 cm
- 126 sq cm
- 24 cm
- 36 sq cm
- 81 sq cm
- 42 cm
- 77 sq cm
- 7 cm
- 100 sq cm
- 24 sq cm
- 76 sq cm
- 3 cm
- 5 cm
- 54 sq cm
- 42 sq cm
- 8 cm
- 7 cm
- 3 cm
- 51 sq cm
- 5 cm
- 169 sq cm
- 25 sq cm
- 56 sq cm
- 20 cm
- 52 cm
- 9 cm
- 36 sq cm
- 57 sq cm
- 52 cm
- 7 cm
- 196 sq cm
- 11 cm
- 225 sq cm
- 8 cm
- 26 cm
- 10 cm
- 140 sq cm
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