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 11 cm long and 7 cm wide. What is its area? (a) 77 sq cm (b) 18 sq cm (c) 88 sq cm (d) 36 sq cm
- 2.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 10 cm (b) 17 cm (c) 20 cm (d) 21 cm
- 3.A rectangle is 15 cm long and 6 cm wide. What is its area? (a) 21 sq cm (b) 105 sq cm (c) 42 sq cm (d) 90 sq cm
- 4.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 169 sq cm (c) 196 sq cm (d) 26 sq cm
- 5.A rectangle is 15 cm long and 3 cm wide. What is its area? (a) 18 sq cm (b) 45 sq cm (c) 60 sq cm (d) 36 sq cm
- 6.A rectangle has an area of 126 sq cm and a length of 14 cm. What is its width? (a) 10 cm (b) 9 cm (c) 18 cm (d) 112 cm
- 7.A rectangle has an area of 45 sq cm and a length of 9 cm. What is its width? (a) 36 cm (b) 6 cm (c) 10 cm (d) 5 cm
- 8.A rectangle has an area of 99 sq cm and a length of 11 cm. What is its width? (a) 88 cm (b) 10 cm (c) 18 cm (d) 9 cm
- 9.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 196 sq cm (c) 225 sq cm (d) 28 sq cm
- 10.A rectangle is 14 cm long and 7 cm wide. What is its perimeter? (a) 42 cm (b) 21 cm (c) 98 cm (d) 35 cm
- 11.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 20 cm (b) 13 cm (c) 26 cm (d) 42 cm
- 12.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 19 cm (b) 9 cm (c) 15 cm (d) 18 cm
- 13.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 36 sq cm (c) 49 sq cm (d) 12 sq cm
- 14.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 81 sq cm (c) 100 sq cm (d) 18 sq cm
- 15.A rectangle has an area of 6 sq cm and a length of 3 cm. What is its width? (a) 3 cm (b) 4 cm (c) 2 cm (d) 1 cm
- 16.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 48 sq cm (c) 24 sq cm (d) 144 sq cm
- 17.A rectangle has an area of 72 sq cm and a length of 9 cm. What is its width? (a) 63 cm (b) 9 cm (c) 16 cm (d) 8 cm
- 18.A rectangle has an area of 42 sq cm and a length of 7 cm. What is its width? (a) 7 cm (b) 6 cm (c) 35 cm (d) 12 cm
- 19.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 60 sq cm (c) 225 sq cm (d) 30 sq cm
- 20.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 9 sq cm (b) 18 sq cm (c) 19 sq cm (d) 24 sq cm
- 21.A rectangle has an area of 156 sq cm and a length of 13 cm. What is its width? (a) 13 cm (b) 24 cm (c) 143 cm (d) 12 cm
- 22.A rectangle is 16 cm long and 2 cm wide. What is its area? (a) 36 sq cm (b) 18 sq cm (c) 48 sq cm (d) 32 sq cm
- 23.A rectangle is 10 cm long and 5 cm wide. What is its area? (a) 50 sq cm (b) 15 sq cm (c) 60 sq cm (d) 30 sq cm
- 24.A rectangle is 18 cm long and 8 cm wide. What is its perimeter? (a) 26 cm (b) 144 cm (c) 44 cm (d) 52 cm
- 25.A rectangle has an area of 77 sq cm and a length of 11 cm. What is its width? (a) 8 cm (b) 66 cm (c) 7 cm (d) 14 cm
- 26.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 64 sq cm (c) 32 sq cm (d) 16 sq cm
- 27.A rectangle is 17 cm long and 9 cm wide. What is its area? (a) 26 sq cm (b) 52 sq cm (c) 153 sq cm (d) 170 sq cm
- 28.A rectangle is 16 cm long and 3 cm wide. What is its perimeter? (a) 35 cm (b) 48 cm (c) 38 cm (d) 19 cm
- 29.A rectangle is 12 cm long and 4 cm wide. What is its area? (a) 48 sq cm (b) 32 sq cm (c) 16 sq cm (d) 60 sq cm
- 30.A rectangle is 9 cm long and 5 cm wide. What is its perimeter? (a) 23 cm (b) 14 cm (c) 45 cm (d) 28 cm
- 31.A rectangle is 20 cm long and 6 cm wide. What is its area? (a) 120 sq cm (b) 52 sq cm (c) 140 sq cm (d) 26 sq cm
- 32.A rectangle has an area of 28 sq cm and a length of 7 cm. What is its width? (a) 5 cm (b) 8 cm (c) 21 cm (d) 4 cm
- 33.A rectangle is 9 cm long and 7 cm wide. What is its perimeter? (a) 32 cm (b) 16 cm (c) 25 cm (d) 63 cm
- 34.A rectangle has an area of 78 sq cm and a length of 13 cm. What is its width? (a) 65 cm (b) 6 cm (c) 12 cm (d) 7 cm
- 35.A rectangle has an area of 35 sq cm and a length of 7 cm. What is its width? (a) 28 cm (b) 10 cm (c) 6 cm (d) 5 cm
- 36.A rectangle has an area of 24 sq cm and a length of 12 cm. What is its width? (a) 12 cm (b) 4 cm (c) 3 cm (d) 2 cm
- 37.A rectangle is 11 cm long and 3 cm wide. What is its area? (a) 14 sq cm (b) 28 sq cm (c) 44 sq cm (d) 33 sq cm
- 38.A rectangle is 15 cm long and 11 cm wide. What is its perimeter? (a) 41 cm (b) 26 cm (c) 52 cm (d) 165 cm
- 39.A rectangle has an area of 12 sq cm and a length of 6 cm. What is its width? (a) 2 cm (b) 4 cm (c) 6 cm (d) 3 cm
- 40.A rectangle is 18 cm long and 11 cm wide. What is its perimeter? (a) 198 cm (b) 58 cm (c) 29 cm (d) 47 cm
Answer key
- 77 sq cm
- 20 cm
- 90 sq cm
- 169 sq cm
- 45 sq cm
- 9 cm
- 5 cm
- 9 cm
- 196 sq cm
- 42 cm
- 26 cm
- 18 cm
- 36 sq cm
- 81 sq cm
- 2 cm
- 144 sq cm
- 8 cm
- 6 cm
- 225 sq cm
- 18 sq cm
- 12 cm
- 32 sq cm
- 50 sq cm
- 52 cm
- 7 cm
- 64 sq cm
- 153 sq cm
- 38 cm
- 48 sq cm
- 28 cm
- 120 sq cm
- 4 cm
- 32 cm
- 6 cm
- 5 cm
- 2 cm
- 33 sq cm
- 52 cm
- 2 cm
- 58 cm
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