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 8 cm long and 5 cm wide. What is its perimeter? (a) 13 cm (b) 21 cm (c) 40 cm (d) 26 cm
- 2.A rectangle has an area of 216 sq cm and a length of 18 cm. What is its width? (a) 13 cm (b) 24 cm (c) 198 cm (d) 12 cm
- 3.A rectangle has an area of 171 sq cm and a length of 19 cm. What is its width? (a) 9 cm (b) 152 cm (c) 18 cm (d) 10 cm
- 4.A rectangle has an area of 130 sq cm and a length of 13 cm. What is its width? (a) 20 cm (b) 117 cm (c) 11 cm (d) 10 cm
- 5.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 28 sq cm (b) 10 sq cm (c) 21 sq cm (d) 20 sq cm
- 6.A rectangle is 11 cm long and 6 cm wide. What is its perimeter? (a) 66 cm (b) 17 cm (c) 28 cm (d) 34 cm
- 7.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 11 cm (b) 19 cm (c) 24 cm (d) 22 cm
- 8.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 26 sq cm (c) 169 sq cm (d) 196 sq cm
- 9.A rectangle is 14 cm long and 2 cm wide. What is its perimeter? (a) 28 cm (b) 32 cm (c) 16 cm (d) 30 cm
- 10.A rectangle is 15 cm long and 11 cm wide. What is its area? (a) 180 sq cm (b) 52 sq cm (c) 165 sq cm (d) 26 sq cm
- 11.A rectangle has an area of 24 sq cm and a length of 12 cm. What is its width? (a) 4 cm (b) 2 cm (c) 3 cm (d) 12 cm
- 12.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 11 sq cm (b) 28 sq cm (c) 35 sq cm (d) 22 sq cm
- 13.A rectangle is 10 cm long and 8 cm wide. What is its perimeter? (a) 80 cm (b) 28 cm (c) 18 cm (d) 36 cm
- 14.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 100 sq cm (c) 20 sq cm (d) 121 sq cm
- 15.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 35 cm (b) 19 cm (c) 12 cm (d) 24 cm
- 16.A rectangle has an area of 75 sq cm and a length of 15 cm. What is its width? (a) 6 cm (b) 60 cm (c) 5 cm (d) 10 cm
- 17.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 24 sq cm (c) 144 sq cm (d) 169 sq cm
- 18.A rectangle is 19 cm long and 2 cm wide. What is its area? (a) 42 sq cm (b) 38 sq cm (c) 21 sq cm (d) 57 sq cm
- 19.A rectangle has an area of 144 sq cm and a length of 18 cm. What is its width? (a) 9 cm (b) 8 cm (c) 126 cm (d) 16 cm
- 20.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 10 sq cm (c) 25 sq cm (d) 20 sq cm
- 21.A square has a perimeter of 24 cm. What is its area? (a) 36 sq cm (b) 12 sq cm (c) 24 sq cm (d) 49 sq cm
- 22.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
- 23.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 256 sq cm (c) 60 sq cm (d) 225 sq cm
- 24.A rectangle is 11 cm long and 5 cm wide. What is its area? (a) 32 sq cm (b) 66 sq cm (c) 16 sq cm (d) 55 sq cm
- 25.A rectangle is 9 cm long and 6 cm wide. What is its perimeter? (a) 15 cm (b) 54 cm (c) 30 cm (d) 24 cm
- 26.A rectangle is 16 cm long and 10 cm wide. What is its area? (a) 52 sq cm (b) 160 sq cm (c) 26 sq cm (d) 176 sq cm
- 27.A rectangle is 11 cm long and 9 cm wide. What is its area? (a) 20 sq cm (b) 40 sq cm (c) 110 sq cm (d) 99 sq cm
- 28.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 19 cm (b) 18 cm (c) 9 cm (d) 15 cm
- 29.A rectangle is 11 cm long and 3 cm wide. What is its perimeter? (a) 25 cm (b) 14 cm (c) 28 cm (d) 33 cm
- 30.A rectangle is 19 cm long and 8 cm wide. What is its perimeter? (a) 27 cm (b) 46 cm (c) 152 cm (d) 54 cm
- 31.A rectangle is 16 cm long and 8 cm wide. What is its area? (a) 144 sq cm (b) 128 sq cm (c) 48 sq cm (d) 24 sq cm
- 32.A rectangle is 10 cm long and 4 cm wide. What is its perimeter? (a) 14 cm (b) 40 cm (c) 28 cm (d) 24 cm
- 33.A rectangle is 17 cm long and 12 cm wide. What is its perimeter? (a) 46 cm (b) 204 cm (c) 29 cm (d) 58 cm
- 34.A rectangle is 18 cm long and 8 cm wide. What is its area? (a) 26 sq cm (b) 162 sq cm (c) 52 sq cm (d) 144 sq cm
- 35.A rectangle has an area of 180 sq cm and a length of 20 cm. What is its width? (a) 160 cm (b) 18 cm (c) 10 cm (d) 9 cm
- 36.A square has a perimeter of 36 cm. What is its area? (a) 81 sq cm (b) 36 sq cm (c) 18 sq cm (d) 100 sq cm
- 37.A rectangle is 14 cm long and 5 cm wide. What is its perimeter? (a) 38 cm (b) 70 cm (c) 33 cm (d) 19 cm
- 38.A rectangle is 17 cm long and 7 cm wide. What is its area? (a) 48 sq cm (b) 24 sq cm (c) 119 sq cm (d) 136 sq cm
- 39.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 11 sq cm (b) 36 sq cm (c) 22 sq cm (d) 30 sq cm
- 40.A square has a perimeter of 32 cm. What is its area? (a) 64 sq cm (b) 32 sq cm (c) 16 sq cm (d) 81 sq cm
Answer key
- 26 cm
- 12 cm
- 9 cm
- 10 cm
- 21 sq cm
- 34 cm
- 22 cm
- 169 sq cm
- 32 cm
- 165 sq cm
- 2 cm
- 28 sq cm
- 36 cm
- 100 sq cm
- 24 cm
- 5 cm
- 144 sq cm
- 38 sq cm
- 8 cm
- 25 sq cm
- 36 sq cm
- 24 cm
- 225 sq cm
- 55 sq cm
- 30 cm
- 160 sq cm
- 99 sq cm
- 18 cm
- 28 cm
- 54 cm
- 128 sq cm
- 28 cm
- 58 cm
- 144 sq cm
- 9 cm
- 81 sq cm
- 38 cm
- 119 sq cm
- 30 sq cm
- 64 sq cm
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