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 square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 196 sq cm (c) 26 sq cm (d) 169 sq cm
- 2.A rectangle has an area of 80 sq cm and a length of 16 cm. What is its width? (a) 5 cm (b) 6 cm (c) 64 cm (d) 10 cm
- 3.A rectangle is 16 cm long and 10 cm wide. What is its area? (a) 26 sq cm (b) 160 sq cm (c) 52 sq cm (d) 176 sq cm
- 4.A rectangle has an area of 154 sq cm and a length of 14 cm. What is its width? (a) 12 cm (b) 11 cm (c) 22 cm (d) 140 cm
- 5.A square has a perimeter of 36 cm. What is its area? (a) 81 sq cm (b) 36 sq cm (c) 18 sq cm (d) 100 sq cm
- 6.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 45 sq cm (b) 28 sq cm (c) 14 sq cm (d) 54 sq cm
- 7.A rectangle is 20 cm long and 7 cm wide. What is its perimeter? (a) 140 cm (b) 54 cm (c) 27 cm (d) 47 cm
- 8.A rectangle has an area of 100 sq cm and a length of 20 cm. What is its width? (a) 10 cm (b) 80 cm (c) 6 cm (d) 5 cm
- 9.A rectangle is 19 cm long and 9 cm wide. What is its area? (a) 56 sq cm (b) 190 sq cm (c) 171 sq cm (d) 28 sq cm
- 10.A rectangle has an area of 204 sq cm and a length of 17 cm. What is its width? (a) 24 cm (b) 12 cm (c) 187 cm (d) 13 cm
- 11.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 24 sq cm (b) 42 sq cm (c) 12 sq cm (d) 35 sq cm
- 12.A rectangle has an area of 72 sq cm and a length of 18 cm. What is its width? (a) 8 cm (b) 54 cm (c) 5 cm (d) 4 cm
- 13.A rectangle has an area of 35 sq cm and a length of 7 cm. What is its width? (a) 28 cm (b) 6 cm (c) 5 cm (d) 10 cm
- 14.A rectangle is 14 cm long and 7 cm wide. What is its perimeter? (a) 21 cm (b) 42 cm (c) 35 cm (d) 98 cm
- 15.A rectangle is 13 cm long and 2 cm wide. What is its area? (a) 15 sq cm (b) 26 sq cm (c) 39 sq cm (d) 30 sq cm
- 16.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 10 cm (b) 21 cm (c) 17 cm (d) 20 cm
- 17.A square has a perimeter of 44 cm. What is its area? (a) 121 sq cm (b) 44 sq cm (c) 22 sq cm (d) 144 sq cm
- 18.A rectangle has an area of 128 sq cm and a length of 16 cm. What is its width? (a) 112 cm (b) 9 cm (c) 16 cm (d) 8 cm
- 19.A rectangle has an area of 27 sq cm and a length of 9 cm. What is its width? (a) 3 cm (b) 6 cm (c) 4 cm (d) 18 cm
- 20.A rectangle has an area of 60 sq cm and a length of 10 cm. What is its width? (a) 7 cm (b) 12 cm (c) 6 cm (d) 50 cm
- 21.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 40 sq cm (b) 12 sq cm (c) 32 sq cm (d) 24 sq cm
- 22.A rectangle is 18 cm long and 3 cm wide. What is its area? (a) 42 sq cm (b) 54 sq cm (c) 72 sq cm (d) 21 sq cm
- 23.A rectangle is 20 cm long and 11 cm wide. What is its area? (a) 31 sq cm (b) 220 sq cm (c) 240 sq cm (d) 62 sq cm
- 24.A rectangle has an area of 52 sq cm and a length of 13 cm. What is its width? (a) 5 cm (b) 8 cm (c) 39 cm (d) 4 cm
- 25.A rectangle is 14 cm long and 10 cm wide. What is its perimeter? (a) 24 cm (b) 48 cm (c) 140 cm (d) 38 cm
- 26.A rectangle is 15 cm long and 12 cm wide. What is its area? (a) 195 sq cm (b) 54 sq cm (c) 180 sq cm (d) 27 sq cm
- 27.A rectangle is 9 cm long and 4 cm wide. What is its perimeter? (a) 22 cm (b) 13 cm (c) 26 cm (d) 36 cm
- 28.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
- 29.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
- 30.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 30 sq cm (b) 56 sq cm (c) 15 sq cm (d) 64 sq cm
- 31.A rectangle has an area of 66 sq cm and a length of 11 cm. What is its width? (a) 6 cm (b) 55 cm (c) 7 cm (d) 12 cm
- 32.A rectangle is 10 cm long and 5 cm wide. What is its perimeter? (a) 50 cm (b) 15 cm (c) 25 cm (d) 30 cm
- 33.A rectangle has an area of 143 sq cm and a length of 13 cm. What is its width? (a) 130 cm (b) 11 cm (c) 12 cm (d) 22 cm
- 34.A rectangle is 10 cm long and 3 cm wide. What is its area? (a) 26 sq cm (b) 40 sq cm (c) 13 sq cm (d) 30 sq cm
- 35.A rectangle is 9 cm long and 2 cm wide. What is its perimeter? (a) 20 cm (b) 11 cm (c) 22 cm (d) 18 cm
- 36.A rectangle is 15 cm long and 12 cm wide. What is its perimeter? (a) 54 cm (b) 42 cm (c) 27 cm (d) 180 cm
- 37.A rectangle has an area of 180 sq cm and a length of 18 cm. What is its width? (a) 162 cm (b) 20 cm (c) 11 cm (d) 10 cm
- 38.A rectangle is 9 cm long and 7 cm wide. What is its perimeter? (a) 63 cm (b) 16 cm (c) 25 cm (d) 32 cm
- 39.A rectangle has an area of 90 sq cm and a length of 10 cm. What is its width? (a) 9 cm (b) 80 cm (c) 18 cm (d) 10 cm
- 40.A rectangle has an area of 220 sq cm and a length of 20 cm. What is its width? (a) 12 cm (b) 200 cm (c) 11 cm (d) 22 cm
Answer key
- 169 sq cm
- 5 cm
- 160 sq cm
- 11 cm
- 81 sq cm
- 45 sq cm
- 54 cm
- 5 cm
- 171 sq cm
- 12 cm
- 35 sq cm
- 4 cm
- 5 cm
- 42 cm
- 26 sq cm
- 20 cm
- 121 sq cm
- 8 cm
- 3 cm
- 6 cm
- 32 sq cm
- 54 sq cm
- 220 sq cm
- 4 cm
- 48 cm
- 180 sq cm
- 26 cm
- 196 sq cm
- 91 sq cm
- 56 sq cm
- 6 cm
- 30 cm
- 11 cm
- 30 sq cm
- 22 cm
- 54 cm
- 10 cm
- 32 cm
- 9 cm
- 11 cm
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