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 56 sq cm and a length of 14 cm. What is its width? (a) 42 cm (b) 5 cm (c) 4 cm (d) 8 cm
- 2.A rectangle is 20 cm long and 12 cm wide. What is its perimeter? (a) 32 cm (b) 240 cm (c) 64 cm (d) 52 cm
- 3.A rectangle has an area of 200 sq cm and a length of 20 cm. What is its width? (a) 10 cm (b) 11 cm (c) 20 cm (d) 180 cm
- 4.A rectangle is 10 cm long and 9 cm wide. What is its area? (a) 100 sq cm (b) 38 sq cm (c) 90 sq cm (d) 19 sq cm
- 5.A rectangle is 14 cm long and 7 cm wide. What is its perimeter? (a) 21 cm (b) 35 cm (c) 42 cm (d) 98 cm
- 6.A rectangle has an area of 180 sq cm and a length of 15 cm. What is its width? (a) 24 cm (b) 13 cm (c) 12 cm (d) 165 cm
- 7.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 36 sq cm (b) 45 sq cm (c) 13 sq cm (d) 26 sq cm
- 8.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 28 sq cm (b) 56 sq cm (c) 14 sq cm (d) 48 sq cm
- 9.A rectangle has an area of 88 sq cm and a length of 11 cm. What is its width? (a) 9 cm (b) 8 cm (c) 77 cm (d) 16 cm
- 10.A rectangle is 12 cm long and 8 cm wide. What is its perimeter? (a) 20 cm (b) 96 cm (c) 32 cm (d) 40 cm
- 11.A rectangle has an area of 110 sq cm and a length of 11 cm. What is its width? (a) 10 cm (b) 20 cm (c) 11 cm (d) 99 cm
- 12.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 13 cm (b) 26 cm (c) 42 cm (d) 20 cm
- 13.A rectangle is 16 cm long and 3 cm wide. What is its area? (a) 19 sq cm (b) 64 sq cm (c) 38 sq cm (d) 48 sq cm
- 14.A rectangle has an area of 68 sq cm and a length of 17 cm. What is its width? (a) 8 cm (b) 5 cm (c) 51 cm (d) 4 cm
- 15.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 169 sq cm (c) 26 sq cm (d) 196 sq cm
- 16.A rectangle has an area of 95 sq cm and a length of 19 cm. What is its width? (a) 6 cm (b) 10 cm (c) 5 cm (d) 76 cm
- 17.A rectangle has an area of 70 sq cm and a length of 10 cm. What is its width? (a) 14 cm (b) 8 cm (c) 7 cm (d) 60 cm
- 18.A rectangle has an area of 20 sq cm and a length of 5 cm. What is its width? (a) 8 cm (b) 15 cm (c) 5 cm (d) 4 cm
- 19.A rectangle has an area of 170 sq cm and a length of 17 cm. What is its width? (a) 20 cm (b) 11 cm (c) 153 cm (d) 10 cm
- 20.A rectangle is 14 cm long and 10 cm wide. What is its area? (a) 48 sq cm (b) 24 sq cm (c) 140 sq cm (d) 154 sq cm
- 21.A square has a perimeter of 32 cm. What is its area? (a) 64 sq cm (b) 81 sq cm (c) 16 sq cm (d) 32 sq cm
- 22.A rectangle has an area of 128 sq cm and a length of 16 cm. What is its width? (a) 16 cm (b) 8 cm (c) 112 cm (d) 9 cm
- 23.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
- 24.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 10 sq cm (b) 20 sq cm (c) 28 sq cm (d) 21 sq cm
- 25.A rectangle is 19 cm long and 8 cm wide. What is its area? (a) 54 sq cm (b) 152 sq cm (c) 27 sq cm (d) 171 sq cm
- 26.A rectangle is 18 cm long and 10 cm wide. What is its perimeter? (a) 180 cm (b) 28 cm (c) 46 cm (d) 56 cm
- 27.A rectangle has an area of 70 sq cm and a length of 14 cm. What is its width? (a) 6 cm (b) 5 cm (c) 10 cm (d) 56 cm
- 28.A rectangle is 18 cm long and 9 cm wide. What is its area? (a) 180 sq cm (b) 162 sq cm (c) 27 sq cm (d) 54 sq cm
- 29.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 24 cm (b) 12 cm (c) 35 cm (d) 19 cm
- 30.A rectangle has an area of 91 sq cm and a length of 13 cm. What is its width? (a) 14 cm (b) 78 cm (c) 8 cm (d) 7 cm
- 31.A rectangle is 13 cm long and 12 cm wide. What is its perimeter? (a) 25 cm (b) 50 cm (c) 38 cm (d) 156 cm
- 32.A rectangle is 13 cm long and 5 cm wide. What is its perimeter? (a) 18 cm (b) 31 cm (c) 65 cm (d) 36 cm
- 33.A rectangle has an area of 120 sq cm and a length of 12 cm. What is its width? (a) 11 cm (b) 20 cm (c) 10 cm (d) 108 cm
- 34.A rectangle is 14 cm long and 3 cm wide. What is its area? (a) 17 sq cm (b) 56 sq cm (c) 34 sq cm (d) 42 sq cm
- 35.A rectangle is 11 cm long and 5 cm wide. What is its perimeter? (a) 27 cm (b) 16 cm (c) 55 cm (d) 32 cm
- 36.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 24 cm (b) 22 cm (c) 11 cm (d) 19 cm
- 37.A rectangle has an area of 55 sq cm and a length of 11 cm. What is its width? (a) 44 cm (b) 10 cm (c) 5 cm (d) 6 cm
- 38.A rectangle is 14 cm long and 10 cm wide. What is its perimeter? (a) 38 cm (b) 48 cm (c) 24 cm (d) 140 cm
- 39.A rectangle is 17 cm long and 10 cm wide. What is its area? (a) 187 sq cm (b) 54 sq cm (c) 170 sq cm (d) 27 sq cm
- 40.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 144 sq cm (c) 169 sq cm (d) 48 sq cm
Answer key
- 4 cm
- 64 cm
- 10 cm
- 90 sq cm
- 42 cm
- 12 cm
- 36 sq cm
- 48 sq cm
- 8 cm
- 40 cm
- 10 cm
- 26 cm
- 48 sq cm
- 4 cm
- 169 sq cm
- 5 cm
- 7 cm
- 4 cm
- 10 cm
- 140 sq cm
- 64 sq cm
- 8 cm
- 25 sq cm
- 21 sq cm
- 152 sq cm
- 56 cm
- 5 cm
- 162 sq cm
- 24 cm
- 7 cm
- 50 cm
- 36 cm
- 10 cm
- 42 sq cm
- 32 cm
- 22 cm
- 5 cm
- 48 cm
- 170 sq cm
- 144 sq cm
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