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 20 cm long and 6 cm wide. What is its perimeter? (a) 46 cm (b) 120 cm (c) 52 cm (d) 26 cm
- 2.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 169 sq cm (c) 48 sq cm (d) 144 sq cm
- 3.A rectangle is 15 cm long and 6 cm wide. What is its perimeter? (a) 90 cm (b) 42 cm (c) 36 cm (d) 21 cm
- 4.A rectangle has an area of 160 sq cm and a length of 20 cm. What is its width? (a) 140 cm (b) 9 cm (c) 8 cm (d) 16 cm
- 5.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 10 sq cm (c) 20 sq cm (d) 36 sq cm
- 6.A rectangle is 13 cm long and 5 cm wide. What is its area? (a) 65 sq cm (b) 18 sq cm (c) 36 sq cm (d) 78 sq cm
- 7.A rectangle has an area of 171 sq cm and a length of 19 cm. What is its width? (a) 152 cm (b) 9 cm (c) 10 cm (d) 18 cm
- 8.A rectangle has an area of 42 sq cm and a length of 7 cm. What is its width? (a) 6 cm (b) 35 cm (c) 12 cm (d) 7 cm
- 9.A rectangle has an area of 160 sq cm and a length of 16 cm. What is its width? (a) 10 cm (b) 20 cm (c) 11 cm (d) 144 cm
- 10.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 28 sq cm (c) 14 sq cm (d) 49 sq cm
- 11.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
- 12.A rectangle is 17 cm long and 4 cm wide. What is its area? (a) 42 sq cm (b) 85 sq cm (c) 68 sq cm (d) 21 sq cm
- 13.A rectangle is 9 cm long and 6 cm wide. What is its perimeter? (a) 15 cm (b) 54 cm (c) 24 cm (d) 30 cm
- 14.A rectangle is 17 cm long and 6 cm wide. What is its area? (a) 23 sq cm (b) 102 sq cm (c) 46 sq cm (d) 119 sq cm
- 15.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
- 16.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 121 sq cm (c) 44 sq cm (d) 22 sq cm
- 17.A rectangle is 13 cm long and 12 cm wide. What is its area? (a) 50 sq cm (b) 169 sq cm (c) 25 sq cm (d) 156 sq cm
- 18.A rectangle is 14 cm long and 3 cm wide. What is its area? (a) 34 sq cm (b) 56 sq cm (c) 17 sq cm (d) 42 sq cm
- 19.A rectangle is 16 cm long and 7 cm wide. What is its perimeter? (a) 23 cm (b) 46 cm (c) 39 cm (d) 112 cm
- 20.A rectangle is 16 cm long and 9 cm wide. What is its perimeter? (a) 144 cm (b) 25 cm (c) 41 cm (d) 50 cm
- 21.A rectangle is 19 cm long and 12 cm wide. What is its perimeter? (a) 31 cm (b) 228 cm (c) 50 cm (d) 62 cm
- 22.A rectangle is 16 cm long and 5 cm wide. What is its area? (a) 96 sq cm (b) 80 sq cm (c) 21 sq cm (d) 42 sq cm
- 23.A rectangle has an area of 105 sq cm and a length of 15 cm. What is its width? (a) 90 cm (b) 7 cm (c) 14 cm (d) 8 cm
- 24.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 81 sq cm (c) 64 sq cm (d) 32 sq cm
- 25.A rectangle has an area of 91 sq cm and a length of 13 cm. What is its width? (a) 78 cm (b) 8 cm (c) 7 cm (d) 14 cm
- 26.A rectangle has an area of 143 sq cm and a length of 13 cm. What is its width? (a) 12 cm (b) 22 cm (c) 11 cm (d) 130 cm
- 27.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 21 sq cm (b) 10 sq cm (c) 20 sq cm (d) 28 sq cm
- 28.A rectangle has an area of 14 sq cm and a length of 7 cm. What is its width? (a) 7 cm (b) 4 cm (c) 3 cm (d) 2 cm
- 29.A rectangle is 13 cm long and 7 cm wide. What is its area? (a) 40 sq cm (b) 20 sq cm (c) 104 sq cm (d) 91 sq cm
- 30.A rectangle is 19 cm long and 4 cm wide. What is its perimeter? (a) 42 cm (b) 46 cm (c) 23 cm (d) 76 cm
- 31.A rectangle is 10 cm long and 6 cm wide. What is its perimeter? (a) 60 cm (b) 26 cm (c) 16 cm (d) 32 cm
- 32.A rectangle has an area of 126 sq cm and a length of 14 cm. What is its width? (a) 18 cm (b) 9 cm (c) 112 cm (d) 10 cm
- 33.A rectangle is 17 cm long and 8 cm wide. What is its perimeter? (a) 42 cm (b) 25 cm (c) 136 cm (d) 50 cm
- 34.A rectangle has an area of 55 sq cm and a length of 11 cm. What is its width? (a) 5 cm (b) 6 cm (c) 10 cm (d) 44 cm
- 35.A rectangle is 18 cm long and 10 cm wide. What is its area? (a) 198 sq cm (b) 56 sq cm (c) 180 sq cm (d) 28 sq cm
- 36.A rectangle is 17 cm long and 9 cm wide. What is its area? (a) 52 sq cm (b) 170 sq cm (c) 26 sq cm (d) 153 sq cm
- 37.A rectangle has an area of 119 sq cm and a length of 17 cm. What is its width? (a) 14 cm (b) 8 cm (c) 102 cm (d) 7 cm
- 38.A rectangle has an area of 108 sq cm and a length of 12 cm. What is its width? (a) 9 cm (b) 10 cm (c) 96 cm (d) 18 cm
- 39.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 36 sq cm (c) 81 sq cm (d) 100 sq cm
- 40.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
Answer key
- 52 cm
- 144 sq cm
- 42 cm
- 8 cm
- 25 sq cm
- 65 sq cm
- 9 cm
- 6 cm
- 10 cm
- 49 sq cm
- 10 cm
- 68 sq cm
- 30 cm
- 102 sq cm
- 11 cm
- 121 sq cm
- 156 sq cm
- 42 sq cm
- 46 cm
- 50 cm
- 62 cm
- 80 sq cm
- 7 cm
- 64 sq cm
- 7 cm
- 11 cm
- 21 sq cm
- 2 cm
- 91 sq cm
- 46 cm
- 32 cm
- 9 cm
- 50 cm
- 5 cm
- 180 sq cm
- 153 sq cm
- 7 cm
- 9 cm
- 81 sq cm
- 112 sq cm
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