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 140 sq cm and a length of 14 cm. What is its width? (a) 11 cm (b) 20 cm (c) 10 cm (d) 126 cm
- 2.A rectangle is 15 cm long and 5 cm wide. What is its perimeter? (a) 20 cm (b) 35 cm (c) 75 cm (d) 40 cm
- 3.A rectangle is 20 cm long and 3 cm wide. What is its area? (a) 80 sq cm (b) 23 sq cm (c) 60 sq cm (d) 46 sq cm
- 4.A rectangle has an area of 63 sq cm and a length of 9 cm. What is its width? (a) 8 cm (b) 14 cm (c) 7 cm (d) 54 cm
- 5.A rectangle is 16 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 48 sq cm (c) 36 sq cm (d) 32 sq cm
- 6.A rectangle is 16 cm long and 5 cm wide. What is its area? (a) 96 sq cm (b) 80 sq cm (c) 42 sq cm (d) 21 sq cm
- 7.A rectangle is 13 cm long and 8 cm wide. What is its area? (a) 117 sq cm (b) 21 sq cm (c) 104 sq cm (d) 42 sq cm
- 8.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
- 9.A rectangle is 15 cm long and 6 cm wide. What is its perimeter? (a) 21 cm (b) 90 cm (c) 42 cm (d) 36 cm
- 10.A rectangle is 20 cm long and 2 cm wide. What is its perimeter? (a) 22 cm (b) 44 cm (c) 40 cm (d) 42 cm
- 11.A rectangle has an area of 130 sq cm and a length of 13 cm. What is its width? (a) 117 cm (b) 20 cm (c) 10 cm (d) 11 cm
- 12.A rectangle has an area of 170 sq cm and a length of 17 cm. What is its width? (a) 153 cm (b) 11 cm (c) 20 cm (d) 10 cm
- 13.A rectangle is 16 cm long and 11 cm wide. What is its perimeter? (a) 43 cm (b) 176 cm (c) 54 cm (d) 27 cm
- 14.A rectangle has an area of 153 sq cm and a length of 17 cm. What is its width? (a) 10 cm (b) 136 cm (c) 9 cm (d) 18 cm
- 15.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 24 sq cm (c) 169 sq cm (d) 144 sq cm
- 16.A rectangle is 13 cm long and 3 cm wide. What is its area? (a) 16 sq cm (b) 32 sq cm (c) 52 sq cm (d) 39 sq cm
- 17.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 81 sq cm (c) 18 sq cm (d) 36 sq cm
- 18.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
- 19.A rectangle is 19 cm long and 4 cm wide. What is its area? (a) 23 sq cm (b) 95 sq cm (c) 76 sq cm (d) 46 sq cm
- 20.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
- 21.A rectangle has an area of 34 sq cm and a length of 17 cm. What is its width? (a) 17 cm (b) 3 cm (c) 2 cm (d) 4 cm
- 22.A rectangle is 17 cm long and 10 cm wide. What is its perimeter? (a) 170 cm (b) 44 cm (c) 54 cm (d) 27 cm
- 23.A rectangle is 12 cm long and 7 cm wide. What is its area? (a) 19 sq cm (b) 96 sq cm (c) 84 sq cm (d) 38 sq cm
- 24.A rectangle is 12 cm long and 9 cm wide. What is its area? (a) 21 sq cm (b) 120 sq cm (c) 108 sq cm (d) 42 sq cm
- 25.A rectangle is 17 cm long and 3 cm wide. What is its area? (a) 20 sq cm (b) 68 sq cm (c) 40 sq cm (d) 51 sq cm
- 26.A rectangle is 13 cm long and 8 cm wide. What is its perimeter? (a) 34 cm (b) 104 cm (c) 21 cm (d) 42 cm
- 27.A rectangle is 9 cm long and 3 cm wide. What is its perimeter? (a) 27 cm (b) 12 cm (c) 24 cm (d) 21 cm
- 28.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) 8 cm (d) 16 cm
- 29.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 225 sq cm (c) 28 sq cm (d) 196 sq cm
- 30.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 144 sq cm (c) 44 sq cm (d) 121 sq cm
- 31.A rectangle is 20 cm long and 10 cm wide. What is its area? (a) 60 sq cm (b) 30 sq cm (c) 220 sq cm (d) 200 sq cm
- 32.A rectangle has an area of 126 sq cm and a length of 14 cm. What is its width? (a) 112 cm (b) 18 cm (c) 9 cm (d) 10 cm
- 33.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 12 sq cm (b) 16 sq cm (c) 8 sq cm (d) 18 sq cm
- 34.A rectangle is 15 cm long and 7 cm wide. What is its perimeter? (a) 22 cm (b) 105 cm (c) 44 cm (d) 37 cm
- 35.A rectangle is 19 cm long and 9 cm wide. What is its area? (a) 171 sq cm (b) 190 sq cm (c) 56 sq cm (d) 28 sq cm
- 36.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 49 sq cm (c) 12 sq cm (d) 36 sq cm
- 37.A rectangle is 18 cm long and 4 cm wide. What is its area? (a) 22 sq cm (b) 44 sq cm (c) 90 sq cm (d) 72 sq cm
- 38.A rectangle has an area of 136 sq cm and a length of 17 cm. What is its width? (a) 8 cm (b) 16 cm (c) 9 cm (d) 119 cm
- 39.A rectangle has an area of 20 sq cm and a length of 10 cm. What is its width? (a) 2 cm (b) 10 cm (c) 4 cm (d) 3 cm
- 40.A square has a perimeter of 52 cm. What is its area? (a) 169 sq cm (b) 26 sq cm (c) 52 sq cm (d) 196 sq cm
Answer key
- 10 cm
- 40 cm
- 60 sq cm
- 7 cm
- 32 sq cm
- 80 sq cm
- 104 sq cm
- 25 sq cm
- 42 cm
- 44 cm
- 10 cm
- 10 cm
- 54 cm
- 9 cm
- 144 sq cm
- 39 sq cm
- 81 sq cm
- 140 sq cm
- 76 sq cm
- 64 sq cm
- 2 cm
- 54 cm
- 84 sq cm
- 108 sq cm
- 51 sq cm
- 42 cm
- 24 cm
- 8 cm
- 196 sq cm
- 121 sq cm
- 200 sq cm
- 9 cm
- 12 sq cm
- 44 cm
- 171 sq cm
- 36 sq cm
- 72 sq cm
- 8 cm
- 2 cm
- 169 sq cm
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