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 18 cm long and 5 cm wide. What is its area? (a) 23 sq cm (b) 108 sq cm (c) 90 sq cm (d) 46 sq cm
- 2.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 13 sq cm (b) 26 sq cm (c) 49 sq cm (d) 42 sq cm
- 3.A rectangle is 18 cm long and 7 cm wide. What is its area? (a) 144 sq cm (b) 50 sq cm (c) 25 sq cm (d) 126 sq cm
- 4.A rectangle has an area of 40 sq cm and a length of 8 cm. What is its width? (a) 10 cm (b) 32 cm (c) 6 cm (d) 5 cm
- 5.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 25 sq cm (c) 20 sq cm (d) 36 sq cm
- 6.A rectangle has an area of 15 sq cm and a length of 5 cm. What is its width? (a) 10 cm (b) 3 cm (c) 4 cm (d) 6 cm
- 7.A rectangle has an area of 192 sq cm and a length of 16 cm. What is its width? (a) 13 cm (b) 176 cm (c) 12 cm (d) 24 cm
- 8.A rectangle is 17 cm long and 12 cm wide. What is its perimeter? (a) 29 cm (b) 204 cm (c) 58 cm (d) 46 cm
- 9.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 9 cm (b) 19 cm (c) 15 cm (d) 18 cm
- 10.A rectangle has an area of 228 sq cm and a length of 19 cm. What is its width? (a) 24 cm (b) 209 cm (c) 13 cm (d) 12 cm
- 11.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 16 cm (b) 20 cm (c) 24 cm (d) 10 cm
- 12.A rectangle is 9 cm long and 7 cm wide. What is its perimeter? (a) 63 cm (b) 16 cm (c) 32 cm (d) 25 cm
- 13.A rectangle is 10 cm long and 2 cm wide. What is its area? (a) 30 sq cm (b) 12 sq cm (c) 20 sq cm (d) 24 sq cm
- 14.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 28 sq cm (b) 10 sq cm (c) 20 sq cm (d) 21 sq cm
- 15.A rectangle is 15 cm long and 8 cm wide. What is its perimeter? (a) 46 cm (b) 23 cm (c) 120 cm (d) 38 cm
- 16.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 22 cm (b) 11 cm (c) 17 cm (d) 30 cm
- 17.A rectangle is 18 cm long and 7 cm wide. What is its perimeter? (a) 50 cm (b) 43 cm (c) 126 cm (d) 25 cm
- 18.A rectangle is 10 cm long and 2 cm wide. What is its perimeter? (a) 12 cm (b) 20 cm (c) 22 cm (d) 24 cm
- 19.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 64 sq cm (c) 16 sq cm (d) 32 sq cm
- 20.A rectangle is 14 cm long and 10 cm wide. What is its perimeter? (a) 24 cm (b) 140 cm (c) 48 cm (d) 38 cm
- 21.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 18 cm (c) 14 cm (d) 9 cm
- 22.A rectangle has an area of 154 sq cm and a length of 14 cm. What is its width? (a) 22 cm (b) 11 cm (c) 12 cm (d) 140 cm
- 23.A rectangle is 13 cm long and 7 cm wide. What is its area? (a) 104 sq cm (b) 40 sq cm (c) 91 sq cm (d) 20 sq cm
- 24.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
- 25.A rectangle is 18 cm long and 12 cm wide. What is its perimeter? (a) 30 cm (b) 60 cm (c) 216 cm (d) 48 cm
- 26.A rectangle is 9 cm long and 3 cm wide. What is its perimeter? (a) 24 cm (b) 21 cm (c) 27 cm (d) 12 cm
- 27.A rectangle has an area of 72 sq cm and a length of 9 cm. What is its width? (a) 9 cm (b) 16 cm (c) 63 cm (d) 8 cm
- 28.A rectangle has an area of 200 sq cm and a length of 20 cm. What is its width? (a) 180 cm (b) 10 cm (c) 20 cm (d) 11 cm
- 29.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 52 sq cm (c) 169 sq cm (d) 26 sq cm
- 30.A rectangle is 13 cm long and 4 cm wide. What is its area? (a) 34 sq cm (b) 52 sq cm (c) 65 sq cm (d) 17 sq cm
- 31.A rectangle is 20 cm long and 7 cm wide. What is its perimeter? (a) 27 cm (b) 47 cm (c) 54 cm (d) 140 cm
- 32.A rectangle has an area of 90 sq cm and a length of 10 cm. What is its width? (a) 18 cm (b) 10 cm (c) 9 cm (d) 80 cm
- 33.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 18 cm (b) 10 cm (c) 16 cm (d) 20 cm
- 34.A square has a perimeter of 48 cm. What is its area? (a) 144 sq cm (b) 169 sq cm (c) 24 sq cm (d) 48 sq cm
- 35.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 24 sq cm (b) 12 sq cm (c) 42 sq cm (d) 35 sq cm
- 36.A rectangle is 15 cm long and 8 cm wide. What is its area? (a) 120 sq cm (b) 23 sq cm (c) 46 sq cm (d) 135 sq cm
- 37.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 81 sq cm (c) 36 sq cm (d) 18 sq cm
- 38.A rectangle has an area of 162 sq cm and a length of 18 cm. What is its width? (a) 9 cm (b) 10 cm (c) 144 cm (d) 18 cm
- 39.A rectangle has an area of 30 sq cm and a length of 10 cm. What is its width? (a) 4 cm (b) 20 cm (c) 3 cm (d) 6 cm
- 40.A square has a perimeter of 60 cm. What is its area? (a) 225 sq cm (b) 256 sq cm (c) 60 sq cm (d) 30 sq cm
Answer key
- 90 sq cm
- 42 sq cm
- 126 sq cm
- 5 cm
- 25 sq cm
- 3 cm
- 12 cm
- 58 cm
- 18 cm
- 12 cm
- 20 cm
- 32 cm
- 20 sq cm
- 21 sq cm
- 46 cm
- 22 cm
- 50 cm
- 24 cm
- 64 sq cm
- 48 cm
- 18 cm
- 11 cm
- 91 sq cm
- 121 sq cm
- 60 cm
- 24 cm
- 8 cm
- 10 cm
- 169 sq cm
- 52 sq cm
- 54 cm
- 9 cm
- 20 cm
- 144 sq cm
- 35 sq cm
- 120 sq cm
- 81 sq cm
- 9 cm
- 3 cm
- 225 sq cm
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