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 7 cm long and 6 cm wide. What is its area? (a) 49 sq cm (b) 13 sq cm (c) 26 sq cm (d) 42 sq cm
- 2.A square has a perimeter of 60 cm. What is its area? (a) 225 sq cm (b) 60 sq cm (c) 30 sq cm (d) 256 sq cm
- 3.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 196 sq cm (c) 28 sq cm (d) 56 sq cm
- 4.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
- 5.A rectangle has an area of 90 sq cm and a length of 10 cm. What is its width? (a) 9 cm (b) 10 cm (c) 18 cm (d) 80 cm
- 6.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 12 sq cm (b) 24 sq cm (c) 42 sq cm (d) 35 sq cm
- 7.A rectangle is 13 cm long and 11 cm wide. What is its area? (a) 24 sq cm (b) 48 sq cm (c) 156 sq cm (d) 143 sq cm
- 8.A rectangle has an area of 42 sq cm and a length of 14 cm. What is its width? (a) 6 cm (b) 4 cm (c) 3 cm (d) 28 cm
- 9.A rectangle is 12 cm long and 3 cm wide. What is its area? (a) 36 sq cm (b) 15 sq cm (c) 48 sq cm (d) 30 sq cm
- 10.A rectangle has an area of 6 sq cm and a length of 3 cm. What is its width? (a) 3 cm (b) 2 cm (c) 4 cm (d) 1 cm
- 11.A rectangle has an area of 150 sq cm and a length of 15 cm. What is its width? (a) 135 cm (b) 10 cm (c) 11 cm (d) 20 cm
- 12.A rectangle has an area of 72 sq cm and a length of 18 cm. What is its width? (a) 5 cm (b) 54 cm (c) 8 cm (d) 4 cm
- 13.A rectangle has an area of 54 sq cm and a length of 18 cm. What is its width? (a) 3 cm (b) 36 cm (c) 4 cm (d) 6 cm
- 14.A rectangle is 14 cm long and 9 cm wide. What is its area? (a) 140 sq cm (b) 23 sq cm (c) 46 sq cm (d) 126 sq cm
- 15.A rectangle is 12 cm long and 9 cm wide. What is its perimeter? (a) 108 cm (b) 33 cm (c) 42 cm (d) 21 cm
- 16.A rectangle has an area of 30 sq cm and a length of 15 cm. What is its width? (a) 3 cm (b) 4 cm (c) 15 cm (d) 2 cm
- 17.A rectangle is 20 cm long and 2 cm wide. What is its area? (a) 44 sq cm (b) 60 sq cm (c) 40 sq cm (d) 22 sq cm
- 18.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 169 sq cm (c) 144 sq cm (d) 24 sq cm
- 19.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 24 sq cm (c) 49 sq cm (d) 36 sq cm
- 20.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 18 cm (b) 16 cm (c) 10 cm (d) 20 cm
- 21.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 8 sq cm (b) 16 sq cm (c) 18 sq cm (d) 12 sq cm
- 22.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 45 sq cm (b) 14 sq cm (c) 54 sq cm (d) 28 sq cm
- 23.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 40 sq cm (c) 100 sq cm (d) 121 sq cm
- 24.A rectangle is 8 cm long and 5 cm wide. What is its area? (a) 48 sq cm (b) 26 sq cm (c) 13 sq cm (d) 40 sq cm
- 25.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 64 sq cm (c) 49 sq cm (d) 28 sq cm
- 26.A rectangle is 19 cm long and 12 cm wide. What is its area? (a) 62 sq cm (b) 31 sq cm (c) 247 sq cm (d) 228 sq cm
- 27.A rectangle is 20 cm long and 11 cm wide. What is its area? (a) 240 sq cm (b) 31 sq cm (c) 62 sq cm (d) 220 sq cm
- 28.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 32 sq cm (c) 64 sq cm (d) 81 sq cm
- 29.A rectangle is 18 cm long and 3 cm wide. What is its perimeter? (a) 39 cm (b) 42 cm (c) 54 cm (d) 21 cm
- 30.A rectangle has an area of 154 sq cm and a length of 14 cm. What is its width? (a) 11 cm (b) 140 cm (c) 12 cm (d) 22 cm
- 31.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 100 sq cm (c) 81 sq cm (d) 36 sq cm
- 32.A rectangle has an area of 110 sq cm and a length of 11 cm. What is its width? (a) 20 cm (b) 11 cm (c) 99 cm (d) 10 cm
- 33.A rectangle has an area of 40 sq cm and a length of 8 cm. What is its width? (a) 10 cm (b) 5 cm (c) 32 cm (d) 6 cm
- 34.A rectangle has an area of 209 sq cm and a length of 19 cm. What is its width? (a) 22 cm (b) 11 cm (c) 190 cm (d) 12 cm
- 35.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 22 sq cm (b) 28 sq cm (c) 35 sq cm (d) 11 sq cm
- 36.A rectangle has an area of 18 sq cm and a length of 9 cm. What is its width? (a) 2 cm (b) 4 cm (c) 9 cm (d) 3 cm
- 37.A rectangle is 13 cm long and 3 cm wide. What is its perimeter? (a) 16 cm (b) 39 cm (c) 29 cm (d) 32 cm
- 38.A rectangle has an area of 10 sq cm and a length of 5 cm. What is its width? (a) 4 cm (b) 3 cm (c) 5 cm (d) 2 cm
- 39.A rectangle has an area of 54 sq cm and a length of 9 cm. What is its width? (a) 7 cm (b) 6 cm (c) 45 cm (d) 12 cm
- 40.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 121 sq cm (c) 144 sq cm (d) 44 sq cm
Answer key
- 42 sq cm
- 225 sq cm
- 196 sq cm
- 9 cm
- 9 cm
- 35 sq cm
- 143 sq cm
- 3 cm
- 36 sq cm
- 2 cm
- 10 cm
- 4 cm
- 3 cm
- 126 sq cm
- 42 cm
- 2 cm
- 40 sq cm
- 144 sq cm
- 36 sq cm
- 20 cm
- 12 sq cm
- 45 sq cm
- 100 sq cm
- 40 sq cm
- 49 sq cm
- 228 sq cm
- 220 sq cm
- 64 sq cm
- 42 cm
- 11 cm
- 81 sq cm
- 10 cm
- 5 cm
- 11 cm
- 28 sq cm
- 2 cm
- 32 cm
- 2 cm
- 6 cm
- 121 sq cm
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