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 13 cm long and 7 cm wide. What is its perimeter? (a) 20 cm (b) 33 cm (c) 91 cm (d) 40 cm
- 2.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 22 sq cm (c) 121 sq cm (d) 144 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 209 sq cm and a length of 19 cm. What is its width? (a) 190 cm (b) 11 cm (c) 22 cm (d) 12 cm
- 5.A rectangle is 11 cm long and 3 cm wide. What is its area? (a) 33 sq cm (b) 14 sq cm (c) 28 sq cm (d) 44 sq cm
- 6.A rectangle is 17 cm long and 6 cm wide. What is its area? (a) 46 sq cm (b) 23 sq cm (c) 119 sq cm (d) 102 sq cm
- 7.A rectangle has an area of 70 sq cm and a length of 10 cm. What is its width? (a) 60 cm (b) 14 cm (c) 7 cm (d) 8 cm
- 8.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 8 sq cm (b) 12 sq cm (c) 16 sq cm (d) 18 sq cm
- 9.A rectangle is 16 cm long and 5 cm wide. What is its perimeter? (a) 21 cm (b) 37 cm (c) 80 cm (d) 42 cm
- 10.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 20 sq cm (c) 24 sq cm (d) 10 sq cm
- 11.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 36 sq cm (c) 24 sq cm (d) 12 sq cm
- 12.A rectangle is 16 cm long and 7 cm wide. What is its perimeter? (a) 46 cm (b) 112 cm (c) 39 cm (d) 23 cm
- 13.A rectangle is 10 cm long and 4 cm wide. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 40 sq cm (d) 50 sq cm
- 14.A rectangle has an area of 36 sq cm and a length of 18 cm. What is its width? (a) 2 cm (b) 4 cm (c) 18 cm (d) 3 cm
- 15.A rectangle has an area of 30 sq cm and a length of 10 cm. What is its width? (a) 6 cm (b) 3 cm (c) 20 cm (d) 4 cm
- 16.A rectangle has an area of 8 sq cm and a length of 4 cm. What is its width? (a) 2 cm (b) 1 cm (c) 4 cm (d) 3 cm
- 17.A rectangle has an area of 30 sq cm and a length of 15 cm. What is its width? (a) 4 cm (b) 15 cm (c) 2 cm (d) 3 cm
- 18.A rectangle is 14 cm long and 3 cm wide. What is its perimeter? (a) 42 cm (b) 34 cm (c) 17 cm (d) 31 cm
- 19.A rectangle has an area of 160 sq cm and a length of 20 cm. What is its width? (a) 140 cm (b) 16 cm (c) 8 cm (d) 9 cm
- 20.A rectangle is 14 cm long and 7 cm wide. What is its area? (a) 112 sq cm (b) 98 sq cm (c) 21 sq cm (d) 42 sq cm
- 21.A rectangle is 15 cm long and 4 cm wide. What is its area? (a) 75 sq cm (b) 19 sq cm (c) 38 sq cm (d) 60 sq cm
- 22.A rectangle is 15 cm long and 6 cm wide. What is its perimeter? (a) 36 cm (b) 21 cm (c) 90 cm (d) 42 cm
- 23.A rectangle is 10 cm long and 4 cm wide. What is its perimeter? (a) 24 cm (b) 14 cm (c) 28 cm (d) 40 cm
- 24.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
- 25.A rectangle has an area of 90 sq cm and a length of 15 cm. What is its width? (a) 6 cm (b) 75 cm (c) 7 cm (d) 12 cm
- 26.A rectangle is 15 cm long and 12 cm wide. What is its perimeter? (a) 180 cm (b) 27 cm (c) 42 cm (d) 54 cm
- 27.A rectangle has an area of 165 sq cm and a length of 15 cm. What is its width? (a) 150 cm (b) 11 cm (c) 22 cm (d) 12 cm
- 28.A rectangle is 14 cm long and 7 cm wide. What is its perimeter? (a) 35 cm (b) 98 cm (c) 21 cm (d) 42 cm
- 29.A rectangle has an area of 56 sq cm and a length of 8 cm. What is its width? (a) 48 cm (b) 14 cm (c) 7 cm (d) 8 cm
- 30.A rectangle is 18 cm long and 8 cm wide. What is its perimeter? (a) 144 cm (b) 52 cm (c) 26 cm (d) 44 cm
- 31.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 60 sq cm (c) 225 sq cm (d) 256 sq cm
- 32.A rectangle is 19 cm long and 10 cm wide. What is its area? (a) 58 sq cm (b) 29 sq cm (c) 209 sq cm (d) 190 sq cm
- 33.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 45 sq cm (b) 26 sq cm (c) 13 sq cm (d) 36 sq cm
- 34.A rectangle is 13 cm long and 6 cm wide. What is its area? (a) 19 sq cm (b) 38 sq cm (c) 78 sq cm (d) 91 sq cm
- 35.A rectangle has an area of 140 sq cm and a length of 14 cm. What is its width? (a) 20 cm (b) 11 cm (c) 10 cm (d) 126 cm
- 36.A rectangle has an area of 144 sq cm and a length of 16 cm. What is its width? (a) 9 cm (b) 18 cm (c) 128 cm (d) 10 cm
- 37.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 21 cm (b) 17 cm (c) 10 cm (d) 20 cm
- 38.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
- 39.A rectangle is 9 cm long and 7 cm wide. What is its area? (a) 72 sq cm (b) 16 sq cm (c) 63 sq cm (d) 32 sq cm
- 40.A rectangle has an area of 72 sq cm and a length of 12 cm. What is its width? (a) 7 cm (b) 12 cm (c) 6 cm (d) 60 cm
Answer key
- 40 cm
- 121 sq cm
- 196 sq cm
- 11 cm
- 33 sq cm
- 102 sq cm
- 7 cm
- 12 sq cm
- 42 cm
- 16 sq cm
- 36 sq cm
- 46 cm
- 40 sq cm
- 2 cm
- 3 cm
- 2 cm
- 2 cm
- 34 cm
- 8 cm
- 98 sq cm
- 60 sq cm
- 42 cm
- 28 cm
- 144 sq cm
- 6 cm
- 54 cm
- 11 cm
- 42 cm
- 7 cm
- 52 cm
- 225 sq cm
- 190 sq cm
- 36 sq cm
- 78 sq cm
- 10 cm
- 9 cm
- 20 cm
- 64 sq cm
- 63 sq cm
- 6 cm
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