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 14 cm long and 10 cm wide. What is its area? (a) 48 sq cm (b) 154 sq cm (c) 24 sq cm (d) 140 sq cm
- 2.A rectangle is 20 cm long and 11 cm wide. What is its perimeter? (a) 31 cm (b) 51 cm (c) 62 cm (d) 220 cm
- 3.A rectangle is 10 cm long and 8 cm wide. What is its area? (a) 36 sq cm (b) 80 sq cm (c) 90 sq cm (d) 18 sq cm
- 4.A rectangle is 18 cm long and 2 cm wide. What is its perimeter? (a) 20 cm (b) 38 cm (c) 40 cm (d) 36 cm
- 5.A rectangle is 19 cm long and 2 cm wide. What is its area? (a) 42 sq cm (b) 21 sq cm (c) 57 sq cm (d) 38 sq cm
- 6.A rectangle is 10 cm long and 3 cm wide. What is its perimeter? (a) 13 cm (b) 23 cm (c) 26 cm (d) 30 cm
- 7.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 26 sq cm (b) 49 sq cm (c) 42 sq cm (d) 13 sq cm
- 8.A rectangle has an area of 56 sq cm and a length of 8 cm. What is its width? (a) 8 cm (b) 7 cm (c) 14 cm (d) 48 cm
- 9.A rectangle is 16 cm long and 11 cm wide. What is its area? (a) 176 sq cm (b) 192 sq cm (c) 54 sq cm (d) 27 sq cm
- 10.A rectangle has an area of 57 sq cm and a length of 19 cm. What is its width? (a) 38 cm (b) 6 cm (c) 4 cm (d) 3 cm
- 11.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
- 12.A rectangle is 9 cm long and 8 cm wide. What is its perimeter? (a) 26 cm (b) 34 cm (c) 72 cm (d) 17 cm
- 13.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 26 cm (b) 20 cm (c) 13 cm (d) 42 cm
- 14.A rectangle is 13 cm long and 8 cm wide. What is its area? (a) 104 sq cm (b) 21 sq cm (c) 117 sq cm (d) 42 sq cm
- 15.A rectangle is 19 cm long and 7 cm wide. What is its area? (a) 52 sq cm (b) 152 sq cm (c) 133 sq cm (d) 26 sq cm
- 16.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 20 sq cm (c) 10 sq cm (d) 25 sq cm
- 17.A rectangle has an area of 120 sq cm and a length of 20 cm. What is its width? (a) 100 cm (b) 12 cm (c) 7 cm (d) 6 cm
- 18.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 30 sq cm (c) 256 sq cm (d) 225 sq cm
- 19.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 64 sq cm (c) 81 sq cm (d) 16 sq cm
- 20.A rectangle has an area of 160 sq cm and a length of 20 cm. What is its width? (a) 8 cm (b) 9 cm (c) 140 cm (d) 16 cm
- 21.A rectangle is 19 cm long and 6 cm wide. What is its area? (a) 114 sq cm (b) 25 sq cm (c) 133 sq cm (d) 50 sq cm
- 22.A rectangle is 15 cm long and 5 cm wide. What is its perimeter? (a) 75 cm (b) 20 cm (c) 40 cm (d) 35 cm
- 23.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
- 24.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 18 sq cm (c) 19 sq cm (d) 9 sq cm
- 25.A rectangle has an area of 168 sq cm and a length of 14 cm. What is its width? (a) 12 cm (b) 13 cm (c) 154 cm (d) 24 cm
- 26.A rectangle is 10 cm long and 8 cm wide. What is its perimeter? (a) 18 cm (b) 28 cm (c) 36 cm (d) 80 cm
- 27.A rectangle is 9 cm long and 4 cm wide. What is its perimeter? (a) 22 cm (b) 36 cm (c) 13 cm (d) 26 cm
- 28.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 121 sq cm (c) 22 sq cm (d) 144 sq cm
- 29.A rectangle is 20 cm long and 8 cm wide. What is its area? (a) 180 sq cm (b) 28 sq cm (c) 160 sq cm (d) 56 sq cm
- 30.A rectangle has an area of 18 sq cm and a length of 6 cm. What is its width? (a) 4 cm (b) 6 cm (c) 3 cm (d) 12 cm
- 31.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 64 sq cm (c) 14 sq cm (d) 49 sq cm
- 32.A square has a perimeter of 40 cm. What is its area? (a) 100 sq cm (b) 20 sq cm (c) 121 sq cm (d) 40 sq cm
- 33.A rectangle has an area of 14 sq cm and a length of 7 cm. What is its width? (a) 4 cm (b) 2 cm (c) 3 cm (d) 7 cm
- 34.A rectangle is 8 cm long and 7 cm wide. What is its perimeter? (a) 30 cm (b) 23 cm (c) 56 cm (d) 15 cm
- 35.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 56 sq cm (b) 30 sq cm (c) 15 sq cm (d) 64 sq cm
- 36.A rectangle has an area of 180 sq cm and a length of 15 cm. What is its width? (a) 165 cm (b) 13 cm (c) 12 cm (d) 24 cm
- 37.A rectangle has an area of 156 sq cm and a length of 13 cm. What is its width? (a) 143 cm (b) 12 cm (c) 13 cm (d) 24 cm
- 38.A rectangle is 11 cm long and 8 cm wide. What is its area? (a) 99 sq cm (b) 38 sq cm (c) 19 sq cm (d) 88 sq cm
- 39.A rectangle is 18 cm long and 12 cm wide. What is its area? (a) 30 sq cm (b) 60 sq cm (c) 216 sq cm (d) 234 sq cm
- 40.A rectangle has an area of 126 sq cm and a length of 18 cm. What is its width? (a) 108 cm (b) 14 cm (c) 8 cm (d) 7 cm
Answer key
- 140 sq cm
- 62 cm
- 80 sq cm
- 40 cm
- 38 sq cm
- 26 cm
- 42 sq cm
- 7 cm
- 176 sq cm
- 3 cm
- 81 sq cm
- 34 cm
- 26 cm
- 104 sq cm
- 133 sq cm
- 25 sq cm
- 6 cm
- 225 sq cm
- 64 sq cm
- 8 cm
- 114 sq cm
- 40 cm
- 196 sq cm
- 18 sq cm
- 12 cm
- 36 cm
- 26 cm
- 121 sq cm
- 160 sq cm
- 3 cm
- 49 sq cm
- 100 sq cm
- 2 cm
- 30 cm
- 56 sq cm
- 12 cm
- 12 cm
- 88 sq cm
- 216 sq cm
- 7 cm
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