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 52 cm. What is its area? (a) 196 sq cm (b) 52 sq cm (c) 26 sq cm (d) 169 sq cm
- 2.A rectangle is 17 cm long and 3 cm wide. What is its area? (a) 20 sq cm (b) 51 sq cm (c) 40 sq cm (d) 68 sq cm
- 3.A square has a perimeter of 44 cm. What is its area? (a) 121 sq cm (b) 44 sq cm (c) 22 sq cm (d) 144 sq cm
- 4.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 20 sq cm (b) 21 sq cm (c) 10 sq cm (d) 28 sq cm
- 5.A rectangle is 16 cm long and 6 cm wide. What is its area? (a) 96 sq cm (b) 44 sq cm (c) 112 sq cm (d) 22 sq cm
- 6.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 56 sq cm (c) 28 sq cm (d) 196 sq cm
- 7.A rectangle is 16 cm long and 7 cm wide. What is its perimeter? (a) 112 cm (b) 46 cm (c) 23 cm (d) 39 cm
- 8.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 12 sq cm (b) 24 sq cm (c) 35 sq cm (d) 42 sq cm
- 9.A rectangle is 12 cm long and 5 cm wide. What is its perimeter? (a) 29 cm (b) 17 cm (c) 60 cm (d) 34 cm
- 10.A rectangle is 15 cm long and 6 cm wide. What is its area? (a) 90 sq cm (b) 105 sq cm (c) 21 sq cm (d) 42 sq cm
- 11.A rectangle is 12 cm long and 4 cm wide. What is its area? (a) 48 sq cm (b) 16 sq cm (c) 32 sq cm (d) 60 sq cm
- 12.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 18 sq cm (c) 12 sq cm (d) 8 sq cm
- 13.A rectangle is 16 cm long and 5 cm wide. What is its area? (a) 21 sq cm (b) 42 sq cm (c) 96 sq cm (d) 80 sq cm
- 14.A rectangle is 17 cm long and 9 cm wide. What is its area? (a) 26 sq cm (b) 52 sq cm (c) 153 sq cm (d) 170 sq cm
- 15.A rectangle is 14 cm long and 12 cm wide. What is its perimeter? (a) 40 cm (b) 52 cm (c) 26 cm (d) 168 cm
- 16.A rectangle has an area of 198 sq cm and a length of 18 cm. What is its width? (a) 12 cm (b) 180 cm (c) 22 cm (d) 11 cm
- 17.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 49 sq cm (c) 14 sq cm (d) 64 sq cm
- 18.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 36 sq cm (c) 25 sq cm (d) 20 sq cm
- 19.A rectangle is 14 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 28 cm (c) 32 cm (d) 30 cm
- 20.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 9 sq cm (c) 19 sq cm (d) 18 sq cm
- 21.A rectangle is 9 cm long and 7 cm wide. What is its area? (a) 72 sq cm (b) 16 sq cm (c) 63 sq cm (d) 32 sq cm
- 22.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 28 cm (b) 22 cm (c) 18 cm (d) 11 cm
- 23.A rectangle has an area of 176 sq cm and a length of 16 cm. What is its width? (a) 22 cm (b) 160 cm (c) 12 cm (d) 11 cm
- 24.A rectangle is 12 cm long and 2 cm wide. What is its area? (a) 36 sq cm (b) 28 sq cm (c) 24 sq cm (d) 14 sq cm
- 25.A rectangle has an area of 152 sq cm and a length of 19 cm. What is its width? (a) 16 cm (b) 9 cm (c) 133 cm (d) 8 cm
- 26.A rectangle is 13 cm long and 4 cm wide. What is its perimeter? (a) 34 cm (b) 52 cm (c) 30 cm (d) 17 cm
- 27.A rectangle is 20 cm long and 2 cm wide. What is its area? (a) 44 sq cm (b) 22 sq cm (c) 40 sq cm (d) 60 sq cm
- 28.A rectangle is 15 cm long and 3 cm wide. What is its area? (a) 60 sq cm (b) 36 sq cm (c) 18 sq cm (d) 45 sq cm
- 29.A rectangle is 13 cm long and 6 cm wide. What is its area? (a) 91 sq cm (b) 78 sq cm (c) 38 sq cm (d) 19 sq cm
- 30.A rectangle is 15 cm long and 6 cm wide. What is its perimeter? (a) 90 cm (b) 21 cm (c) 36 cm (d) 42 cm
- 31.A rectangle is 9 cm long and 8 cm wide. What is its perimeter? (a) 17 cm (b) 26 cm (c) 72 cm (d) 34 cm
- 32.A rectangle is 14 cm long and 3 cm wide. What is its area? (a) 34 sq cm (b) 42 sq cm (c) 56 sq cm (d) 17 sq cm
- 33.A rectangle has an area of 160 sq cm and a length of 20 cm. What is its width? (a) 16 cm (b) 8 cm (c) 140 cm (d) 9 cm
- 34.A rectangle has an area of 190 sq cm and a length of 19 cm. What is its width? (a) 10 cm (b) 171 cm (c) 20 cm (d) 11 cm
- 35.A rectangle has an area of 108 sq cm and a length of 18 cm. What is its width? (a) 90 cm (b) 7 cm (c) 12 cm (d) 6 cm
- 36.A rectangle is 12 cm long and 8 cm wide. What is its perimeter? (a) 20 cm (b) 32 cm (c) 96 cm (d) 40 cm
- 37.A rectangle has an area of 30 sq cm and a length of 10 cm. What is its width? (a) 3 cm (b) 20 cm (c) 6 cm (d) 4 cm
- 38.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 16 sq cm (c) 64 sq cm (d) 32 sq cm
- 39.A rectangle is 15 cm long and 3 cm wide. What is its perimeter? (a) 36 cm (b) 18 cm (c) 45 cm (d) 33 cm
- 40.A rectangle has an area of 162 sq cm and a length of 18 cm. What is its width? (a) 10 cm (b) 18 cm (c) 9 cm (d) 144 cm
Answer key
- 169 sq cm
- 51 sq cm
- 121 sq cm
- 21 sq cm
- 96 sq cm
- 196 sq cm
- 46 cm
- 35 sq cm
- 34 cm
- 90 sq cm
- 48 sq cm
- 12 sq cm
- 80 sq cm
- 153 sq cm
- 52 cm
- 11 cm
- 49 sq cm
- 25 sq cm
- 32 cm
- 18 sq cm
- 63 sq cm
- 22 cm
- 11 cm
- 24 sq cm
- 8 cm
- 34 cm
- 40 sq cm
- 45 sq cm
- 78 sq cm
- 42 cm
- 34 cm
- 42 sq cm
- 8 cm
- 10 cm
- 6 cm
- 40 cm
- 3 cm
- 64 sq cm
- 36 cm
- 9 cm
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