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 24 cm. What is its area? (a) 12 sq cm (b) 49 sq cm (c) 24 sq cm (d) 36 sq cm
- 2.A rectangle is 14 cm long and 5 cm wide. What is its area? (a) 38 sq cm (b) 19 sq cm (c) 84 sq cm (d) 70 sq cm
- 3.A rectangle is 9 cm long and 6 cm wide. What is its perimeter? (a) 24 cm (b) 30 cm (c) 54 cm (d) 15 cm
- 4.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 9 cm (b) 19 cm (c) 18 cm (d) 15 cm
- 5.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 225 sq cm (c) 256 sq cm (d) 60 sq cm
- 6.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 26 sq cm (c) 169 sq cm (d) 52 sq cm
- 7.A rectangle is 11 cm long and 9 cm wide. What is its area? (a) 99 sq cm (b) 110 sq cm (c) 20 sq cm (d) 40 sq cm
- 8.A rectangle is 16 cm long and 7 cm wide. What is its area? (a) 23 sq cm (b) 112 sq cm (c) 46 sq cm (d) 128 sq cm
- 9.A rectangle is 14 cm long and 10 cm wide. What is its area? (a) 48 sq cm (b) 154 sq cm (c) 24 sq cm (d) 140 sq cm
- 10.A rectangle is 16 cm long and 6 cm wide. What is its area? (a) 44 sq cm (b) 112 sq cm (c) 22 sq cm (d) 96 sq cm
- 11.A rectangle has an area of 50 sq cm and a length of 10 cm. What is its width? (a) 6 cm (b) 10 cm (c) 40 cm (d) 5 cm
- 12.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 81 sq cm (c) 100 sq cm (d) 36 sq cm
- 13.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 28 sq cm (b) 48 sq cm (c) 14 sq cm (d) 56 sq cm
- 14.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 26 sq cm (b) 42 sq cm (c) 13 sq cm (d) 49 sq cm
- 15.A rectangle is 13 cm long and 9 cm wide. What is its area? (a) 130 sq cm (b) 22 sq cm (c) 117 sq cm (d) 44 sq cm
- 16.A rectangle has an area of 18 sq cm and a length of 9 cm. What is its width? (a) 2 cm (b) 3 cm (c) 4 cm (d) 9 cm
- 17.A rectangle is 19 cm long and 11 cm wide. What is its area? (a) 30 sq cm (b) 60 sq cm (c) 228 sq cm (d) 209 sq cm
- 18.A rectangle has an area of 96 sq cm and a length of 16 cm. What is its width? (a) 12 cm (b) 80 cm (c) 7 cm (d) 6 cm
- 19.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 27 sq cm (b) 22 sq cm (c) 11 sq cm (d) 18 sq cm
- 20.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
- 21.A rectangle has an area of 90 sq cm and a length of 15 cm. What is its width? (a) 6 cm (b) 7 cm (c) 12 cm (d) 75 cm
- 22.A rectangle is 11 cm long and 10 cm wide. What is its area? (a) 21 sq cm (b) 110 sq cm (c) 42 sq cm (d) 121 sq cm
- 23.A rectangle is 20 cm long and 10 cm wide. What is its area? (a) 60 sq cm (b) 200 sq cm (c) 220 sq cm (d) 30 sq cm
- 24.A rectangle has an area of 84 sq cm and a length of 14 cm. What is its width? (a) 70 cm (b) 7 cm (c) 12 cm (d) 6 cm
- 25.A rectangle has an area of 112 sq cm and a length of 16 cm. What is its width? (a) 7 cm (b) 96 cm (c) 8 cm (d) 14 cm
- 26.A rectangle has an area of 117 sq cm and a length of 13 cm. What is its width? (a) 9 cm (b) 18 cm (c) 10 cm (d) 104 cm
- 27.A rectangle is 14 cm long and 2 cm wide. What is its area? (a) 28 sq cm (b) 32 sq cm (c) 16 sq cm (d) 42 sq cm
- 28.A rectangle has an area of 204 sq cm and a length of 17 cm. What is its width? (a) 187 cm (b) 12 cm (c) 24 cm (d) 13 cm
- 29.A rectangle is 14 cm long and 9 cm wide. What is its perimeter? (a) 23 cm (b) 37 cm (c) 46 cm (d) 126 cm
- 30.A rectangle is 18 cm long and 3 cm wide. What is its area? (a) 42 sq cm (b) 72 sq cm (c) 54 sq cm (d) 21 sq cm
- 31.A rectangle is 18 cm long and 5 cm wide. What is its area? (a) 90 sq cm (b) 108 sq cm (c) 23 sq cm (d) 46 sq cm
- 32.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 20 sq cm (c) 100 sq cm (d) 121 sq cm
- 33.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 36 sq cm (d) 25 sq cm
- 34.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 24 sq cm (c) 144 sq cm (d) 48 sq cm
- 35.A rectangle has an area of 6 sq cm and a length of 3 cm. What is its width? (a) 3 cm (b) 4 cm (c) 1 cm (d) 2 cm
- 36.A rectangle has an area of 110 sq cm and a length of 11 cm. What is its width? (a) 99 cm (b) 10 cm (c) 11 cm (d) 20 cm
- 37.A rectangle is 9 cm long and 8 cm wide. What is its area? (a) 34 sq cm (b) 72 sq cm (c) 81 sq cm (d) 17 sq cm
- 38.A rectangle is 20 cm long and 4 cm wide. What is its perimeter? (a) 80 cm (b) 48 cm (c) 44 cm (d) 24 cm
- 39.A rectangle has an area of 168 sq cm and a length of 14 cm. What is its width? (a) 24 cm (b) 12 cm (c) 13 cm (d) 154 cm
- 40.A rectangle is 20 cm long and 12 cm wide. What is its perimeter? (a) 32 cm (b) 240 cm (c) 52 cm (d) 64 cm
Answer key
- 36 sq cm
- 70 sq cm
- 30 cm
- 18 cm
- 225 sq cm
- 169 sq cm
- 99 sq cm
- 112 sq cm
- 140 sq cm
- 96 sq cm
- 5 cm
- 81 sq cm
- 48 sq cm
- 42 sq cm
- 117 sq cm
- 2 cm
- 209 sq cm
- 6 cm
- 18 sq cm
- 64 sq cm
- 6 cm
- 110 sq cm
- 200 sq cm
- 6 cm
- 7 cm
- 9 cm
- 28 sq cm
- 12 cm
- 46 cm
- 54 sq cm
- 90 sq cm
- 100 sq cm
- 25 sq cm
- 144 sq cm
- 2 cm
- 10 cm
- 72 sq cm
- 48 cm
- 12 cm
- 64 cm
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