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 has an area of 8 sq cm and a length of 4 cm. What is its width? (a) 1 cm (b) 3 cm (c) 4 cm (d) 2 cm
- 2.A rectangle is 10 cm long and 2 cm wide. What is its area? (a) 30 sq cm (b) 12 sq cm (c) 24 sq cm (d) 20 sq cm
- 3.A rectangle is 10 cm long and 7 cm wide. What is its area? (a) 17 sq cm (b) 70 sq cm (c) 80 sq cm (d) 34 sq cm
- 4.A square has a perimeter of 52 cm. What is its area? (a) 26 sq cm (b) 169 sq cm (c) 52 sq cm (d) 196 sq cm
- 5.A rectangle has an area of 180 sq cm and a length of 20 cm. What is its width? (a) 10 cm (b) 18 cm (c) 160 cm (d) 9 cm
- 6.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 12 sq cm (c) 36 sq cm (d) 27 sq cm
- 7.A rectangle has an area of 99 sq cm and a length of 11 cm. What is its width? (a) 9 cm (b) 88 cm (c) 10 cm (d) 18 cm
- 8.A rectangle is 20 cm long and 11 cm wide. What is its area? (a) 220 sq cm (b) 240 sq cm (c) 62 sq cm (d) 31 sq cm
- 9.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 32 sq cm (c) 16 sq cm (d) 64 sq cm
- 10.A rectangle has an area of 72 sq cm and a length of 18 cm. What is its width? (a) 8 cm (b) 5 cm (c) 4 cm (d) 54 cm
- 11.A rectangle has an area of 42 sq cm and a length of 7 cm. What is its width? (a) 35 cm (b) 6 cm (c) 7 cm (d) 12 cm
- 12.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 48 sq cm (c) 169 sq cm (d) 144 sq cm
- 13.A rectangle is 8 cm long and 6 cm wide. What is its perimeter? (a) 14 cm (b) 28 cm (c) 22 cm (d) 48 cm
- 14.A rectangle is 9 cm long and 4 cm wide. What is its perimeter? (a) 22 cm (b) 13 cm (c) 36 cm (d) 26 cm
- 15.A rectangle is 15 cm long and 8 cm wide. What is its perimeter? (a) 46 cm (b) 120 cm (c) 23 cm (d) 38 cm
- 16.A rectangle has an area of 154 sq cm and a length of 14 cm. What is its width? (a) 12 cm (b) 140 cm (c) 22 cm (d) 11 cm
- 17.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 28 sq cm (b) 45 sq cm (c) 14 sq cm (d) 54 sq cm
- 18.A rectangle is 8 cm long and 5 cm wide. What is its area? (a) 26 sq cm (b) 13 sq cm (c) 40 sq cm (d) 48 sq cm
- 19.A rectangle is 19 cm long and 7 cm wide. What is its area? (a) 152 sq cm (b) 52 sq cm (c) 133 sq cm (d) 26 sq cm
- 20.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 12 sq cm (c) 49 sq cm (d) 36 sq cm
- 21.A rectangle is 19 cm long and 7 cm wide. What is its perimeter? (a) 45 cm (b) 26 cm (c) 133 cm (d) 52 cm
- 22.A rectangle is 12 cm long and 5 cm wide. What is its area? (a) 60 sq cm (b) 34 sq cm (c) 72 sq cm (d) 17 sq cm
- 23.A rectangle is 19 cm long and 6 cm wide. What is its area? (a) 114 sq cm (b) 50 sq cm (c) 25 sq cm (d) 133 sq cm
- 24.A rectangle is 10 cm long and 6 cm wide. What is its area? (a) 32 sq cm (b) 70 sq cm (c) 60 sq cm (d) 16 sq cm
- 25.A rectangle is 11 cm long and 8 cm wide. What is its area? (a) 99 sq cm (b) 88 sq cm (c) 38 sq cm (d) 19 sq cm
- 26.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 25 sq cm (c) 10 sq cm (d) 36 sq cm
- 27.A rectangle is 10 cm long and 6 cm wide. What is its perimeter? (a) 16 cm (b) 26 cm (c) 32 cm (d) 60 cm
- 28.A rectangle is 17 cm long and 8 cm wide. What is its perimeter? (a) 42 cm (b) 136 cm (c) 25 cm (d) 50 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 20 cm long and 5 cm wide. What is its perimeter? (a) 25 cm (b) 50 cm (c) 45 cm (d) 100 cm
- 31.A rectangle has an area of 120 sq cm and a length of 20 cm. What is its width? (a) 100 cm (b) 6 cm (c) 12 cm (d) 7 cm
- 32.A rectangle has an area of 33 sq cm and a length of 11 cm. What is its width? (a) 22 cm (b) 6 cm (c) 4 cm (d) 3 cm
- 33.A rectangle is 10 cm long and 4 cm wide. What is its perimeter? (a) 40 cm (b) 24 cm (c) 14 cm (d) 28 cm
- 34.A rectangle is 14 cm long and 6 cm wide. What is its area? (a) 84 sq cm (b) 40 sq cm (c) 98 sq cm (d) 20 sq cm
- 35.A rectangle is 20 cm long and 7 cm wide. What is its perimeter? (a) 27 cm (b) 140 cm (c) 54 cm (d) 47 cm
- 36.A rectangle has an area of 18 sq cm and a length of 6 cm. What is its width? (a) 4 cm (b) 3 cm (c) 6 cm (d) 12 cm
- 37.A rectangle has an area of 60 sq cm and a length of 20 cm. What is its width? (a) 4 cm (b) 40 cm (c) 6 cm (d) 3 cm
- 38.A rectangle is 13 cm long and 5 cm wide. What is its area? (a) 78 sq cm (b) 18 sq cm (c) 36 sq cm (d) 65 sq cm
- 39.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 49 sq cm (c) 28 sq cm (d) 64 sq cm
- 40.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 18 sq cm (c) 81 sq cm (d) 100 sq cm
Answer key
- 2 cm
- 20 sq cm
- 70 sq cm
- 169 sq cm
- 9 cm
- 27 sq cm
- 9 cm
- 220 sq cm
- 64 sq cm
- 4 cm
- 6 cm
- 144 sq cm
- 28 cm
- 26 cm
- 46 cm
- 11 cm
- 45 sq cm
- 40 sq cm
- 133 sq cm
- 36 sq cm
- 52 cm
- 60 sq cm
- 114 sq cm
- 60 sq cm
- 88 sq cm
- 25 sq cm
- 32 cm
- 50 cm
- 100 sq cm
- 50 cm
- 6 cm
- 3 cm
- 28 cm
- 84 sq cm
- 54 cm
- 3 cm
- 3 cm
- 65 sq cm
- 49 sq cm
- 81 sq cm
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