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 13 cm long and 4 cm wide. What is its area? (a) 52 sq cm (b) 34 sq cm (c) 65 sq cm (d) 17 sq cm
- 2.A rectangle has an area of 112 sq cm and a length of 14 cm. What is its width? (a) 98 cm (b) 16 cm (c) 9 cm (d) 8 cm
- 3.A rectangle has an area of 144 sq cm and a length of 18 cm. What is its width? (a) 9 cm (b) 126 cm (c) 16 cm (d) 8 cm
- 4.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 225 sq cm (c) 30 sq cm (d) 256 sq cm
- 5.A rectangle has an area of 160 sq cm and a length of 16 cm. What is its width? (a) 144 cm (b) 20 cm (c) 11 cm (d) 10 cm
- 6.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 44 sq cm (c) 22 sq cm (d) 121 sq cm
- 7.A rectangle is 10 cm long and 6 cm wide. What is its area? (a) 16 sq cm (b) 60 sq cm (c) 70 sq cm (d) 32 sq cm
- 8.A rectangle is 14 cm long and 11 cm wide. What is its area? (a) 25 sq cm (b) 154 sq cm (c) 50 sq cm (d) 168 sq cm
- 9.A rectangle has an area of 76 sq cm and a length of 19 cm. What is its width? (a) 8 cm (b) 57 cm (c) 4 cm (d) 5 cm
- 10.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 36 sq cm (c) 20 sq cm (d) 25 sq cm
- 11.A rectangle is 13 cm long and 7 cm wide. What is its perimeter? (a) 91 cm (b) 40 cm (c) 20 cm (d) 33 cm
- 12.A rectangle has an area of 22 sq cm and a length of 11 cm. What is its width? (a) 4 cm (b) 3 cm (c) 2 cm (d) 11 cm
- 13.A square has a perimeter of 36 cm. What is its area? (a) 81 sq cm (b) 18 sq cm (c) 36 sq cm (d) 100 sq cm
- 14.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 169 sq cm (c) 52 sq cm (d) 26 sq cm
- 15.A rectangle is 19 cm long and 8 cm wide. What is its area? (a) 171 sq cm (b) 27 sq cm (c) 54 sq cm (d) 152 sq cm
- 16.A rectangle has an area of 108 sq cm and a length of 12 cm. What is its width? (a) 96 cm (b) 18 cm (c) 9 cm (d) 10 cm
- 17.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 49 sq cm (c) 36 sq cm (d) 24 sq cm
- 18.A rectangle is 12 cm long and 8 cm wide. What is its perimeter? (a) 96 cm (b) 20 cm (c) 40 cm (d) 32 cm
- 19.A rectangle is 14 cm long and 8 cm wide. What is its perimeter? (a) 44 cm (b) 36 cm (c) 112 cm (d) 22 cm
- 20.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 196 sq cm (c) 56 sq cm (d) 225 sq cm
- 21.A rectangle is 17 cm long and 8 cm wide. What is its area? (a) 153 sq cm (b) 136 sq cm (c) 25 sq cm (d) 50 sq cm
- 22.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 20 sq cm (b) 24 sq cm (c) 30 sq cm (d) 10 sq cm
- 23.A rectangle is 10 cm long and 8 cm wide. What is its area? (a) 90 sq cm (b) 80 sq cm (c) 18 sq cm (d) 36 sq cm
- 24.A rectangle is 20 cm long and 7 cm wide. What is its area? (a) 160 sq cm (b) 54 sq cm (c) 140 sq cm (d) 27 sq cm
- 25.A rectangle has an area of 114 sq cm and a length of 19 cm. What is its width? (a) 95 cm (b) 12 cm (c) 6 cm (d) 7 cm
- 26.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 11 sq cm (b) 22 sq cm (c) 32 sq cm (d) 24 sq cm
- 27.A rectangle is 17 cm long and 6 cm wide. What is its perimeter? (a) 23 cm (b) 46 cm (c) 102 cm (d) 40 cm
- 28.A rectangle has an area of 52 sq cm and a length of 13 cm. What is its width? (a) 5 cm (b) 4 cm (c) 8 cm (d) 39 cm
- 29.A rectangle has an area of 132 sq cm and a length of 12 cm. What is its width? (a) 12 cm (b) 22 cm (c) 11 cm (d) 120 cm
- 30.A rectangle is 10 cm long and 9 cm wide. What is its area? (a) 90 sq cm (b) 19 sq cm (c) 38 sq cm (d) 100 sq cm
- 31.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 64 sq cm (c) 49 sq cm (d) 28 sq cm
- 32.A rectangle is 16 cm long and 7 cm wide. What is its perimeter? (a) 23 cm (b) 39 cm (c) 46 cm (d) 112 cm
- 33.A rectangle has an area of 18 sq cm and a length of 6 cm. What is its width? (a) 12 cm (b) 6 cm (c) 4 cm (d) 3 cm
- 34.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 11 sq cm (b) 22 sq cm (c) 28 sq cm (d) 35 sq cm
- 35.A rectangle has an area of 70 sq cm and a length of 10 cm. What is its width? (a) 8 cm (b) 14 cm (c) 7 cm (d) 60 cm
- 36.A rectangle is 20 cm long and 2 cm wide. What is its area? (a) 60 sq cm (b) 40 sq cm (c) 44 sq cm (d) 22 sq cm
- 37.A rectangle has an area of 30 sq cm and a length of 15 cm. What is its width? (a) 2 cm (b) 3 cm (c) 4 cm (d) 15 cm
- 38.A rectangle has an area of 110 sq cm and a length of 11 cm. What is its width? (a) 11 cm (b) 10 cm (c) 20 cm (d) 99 cm
- 39.A rectangle is 12 cm long and 7 cm wide. What is its area? (a) 19 sq cm (b) 38 sq cm (c) 96 sq cm (d) 84 sq cm
- 40.A rectangle is 10 cm long and 4 cm wide. What is its perimeter? (a) 14 cm (b) 40 cm (c) 24 cm (d) 28 cm
Answer key
- 52 sq cm
- 8 cm
- 8 cm
- 225 sq cm
- 10 cm
- 121 sq cm
- 60 sq cm
- 154 sq cm
- 4 cm
- 25 sq cm
- 40 cm
- 2 cm
- 81 sq cm
- 169 sq cm
- 152 sq cm
- 9 cm
- 36 sq cm
- 40 cm
- 44 cm
- 196 sq cm
- 136 sq cm
- 24 sq cm
- 80 sq cm
- 140 sq cm
- 6 cm
- 24 sq cm
- 46 cm
- 4 cm
- 11 cm
- 90 sq cm
- 49 sq cm
- 46 cm
- 3 cm
- 28 sq cm
- 7 cm
- 40 sq cm
- 2 cm
- 10 cm
- 84 sq cm
- 28 cm
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