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 has an area of 171 sq cm and a length of 19 cm. What is its width? (a) 152 cm (b) 18 cm (c) 10 cm (d) 9 cm
- 2.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
- 3.A rectangle is 13 cm long and 9 cm wide. What is its area? (a) 44 sq cm (b) 22 sq cm (c) 130 sq cm (d) 117 sq cm
- 4.A rectangle has an area of 90 sq cm and a length of 18 cm. What is its width? (a) 10 cm (b) 6 cm (c) 72 cm (d) 5 cm
- 5.A rectangle has an area of 143 sq cm and a length of 13 cm. What is its width? (a) 11 cm (b) 130 cm (c) 22 cm (d) 12 cm
- 6.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 169 sq cm (c) 52 sq cm (d) 26 sq cm
- 7.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 100 sq cm (c) 121 sq cm (d) 20 sq cm
- 8.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 14 sq cm (c) 28 sq cm (d) 49 sq cm
- 9.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 24 sq cm (c) 144 sq cm (d) 169 sq cm
- 10.A rectangle is 11 cm long and 2 cm wide. What is its perimeter? (a) 13 cm (b) 22 cm (c) 24 cm (d) 26 cm
- 11.A rectangle has an area of 240 sq cm and a length of 20 cm. What is its width? (a) 13 cm (b) 24 cm (c) 220 cm (d) 12 cm
- 12.A rectangle has an area of 160 sq cm and a length of 16 cm. What is its width? (a) 11 cm (b) 20 cm (c) 10 cm (d) 144 cm
- 13.A rectangle is 13 cm long and 9 cm wide. What is its perimeter? (a) 22 cm (b) 44 cm (c) 35 cm (d) 117 cm
- 14.A rectangle has an area of 24 sq cm and a length of 8 cm. What is its width? (a) 6 cm (b) 4 cm (c) 16 cm (d) 3 cm
- 15.A rectangle is 20 cm long and 11 cm wide. What is its area? (a) 31 sq cm (b) 62 sq cm (c) 240 sq cm (d) 220 sq cm
- 16.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 256 sq cm (c) 60 sq cm (d) 225 sq cm
- 17.A rectangle is 8 cm long and 5 cm wide. What is its perimeter? (a) 26 cm (b) 40 cm (c) 13 cm (d) 21 cm
- 18.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 16 sq cm (c) 64 sq cm (d) 81 sq cm
- 19.A rectangle is 14 cm long and 8 cm wide. What is its area? (a) 44 sq cm (b) 112 sq cm (c) 126 sq cm (d) 22 sq cm
- 20.A rectangle has an area of 80 sq cm and a length of 10 cm. What is its width? (a) 70 cm (b) 8 cm (c) 16 cm (d) 9 cm
- 21.A rectangle is 9 cm long and 4 cm wide. What is its perimeter? (a) 13 cm (b) 26 cm (c) 22 cm (d) 36 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) 140 cm (c) 12 cm (d) 11 cm
- 23.A rectangle is 20 cm long and 6 cm wide. What is its area? (a) 140 sq cm (b) 26 sq cm (c) 52 sq cm (d) 120 sq cm
- 24.A rectangle is 11 cm long and 10 cm wide. What is its area? (a) 121 sq cm (b) 110 sq cm (c) 21 sq cm (d) 42 sq cm
- 25.A rectangle is 13 cm long and 6 cm wide. What is its area? (a) 78 sq cm (b) 19 sq cm (c) 38 sq cm (d) 91 sq cm
- 26.A rectangle has an area of 120 sq cm and a length of 20 cm. What is its width? (a) 100 cm (b) 12 cm (c) 7 cm (d) 6 cm
- 27.A rectangle has an area of 12 sq cm and a length of 4 cm. What is its width? (a) 6 cm (b) 4 cm (c) 3 cm (d) 8 cm
- 28.A rectangle is 16 cm long and 7 cm wide. What is its perimeter? (a) 39 cm (b) 46 cm (c) 23 cm (d) 112 cm
- 29.A rectangle is 16 cm long and 2 cm wide. What is its area? (a) 36 sq cm (b) 48 sq cm (c) 32 sq cm (d) 18 sq cm
- 30.A rectangle is 20 cm long and 2 cm wide. What is its area? (a) 40 sq cm (b) 60 sq cm (c) 22 sq cm (d) 44 sq cm
- 31.A rectangle is 20 cm long and 6 cm wide. What is its perimeter? (a) 26 cm (b) 120 cm (c) 46 cm (d) 52 cm
- 32.A rectangle is 20 cm long and 4 cm wide. What is its perimeter? (a) 44 cm (b) 24 cm (c) 48 cm (d) 80 cm
- 33.A rectangle has an area of 209 sq cm and a length of 19 cm. What is its width? (a) 190 cm (b) 22 cm (c) 12 cm (d) 11 cm
- 34.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 28 sq cm (c) 56 sq cm (d) 225 sq cm
- 35.A rectangle has an area of 216 sq cm and a length of 18 cm. What is its width? (a) 13 cm (b) 24 cm (c) 12 cm (d) 198 cm
- 36.A rectangle is 13 cm long and 5 cm wide. What is its perimeter? (a) 65 cm (b) 36 cm (c) 18 cm (d) 31 cm
- 37.A rectangle is 13 cm long and 2 cm wide. What is its area? (a) 26 sq cm (b) 39 sq cm (c) 15 sq cm (d) 30 sq cm
- 38.A rectangle is 18 cm long and 4 cm wide. What is its perimeter? (a) 44 cm (b) 72 cm (c) 22 cm (d) 40 cm
- 39.A rectangle is 12 cm long and 2 cm wide. What is its perimeter? (a) 26 cm (b) 14 cm (c) 24 cm (d) 28 cm
- 40.A rectangle is 15 cm long and 5 cm wide. What is its perimeter? (a) 20 cm (b) 40 cm (c) 35 cm (d) 75 cm
Answer key
- 9 cm
- 121 sq cm
- 117 sq cm
- 5 cm
- 11 cm
- 169 sq cm
- 100 sq cm
- 49 sq cm
- 144 sq cm
- 26 cm
- 12 cm
- 10 cm
- 44 cm
- 3 cm
- 220 sq cm
- 225 sq cm
- 26 cm
- 64 sq cm
- 112 sq cm
- 8 cm
- 26 cm
- 11 cm
- 120 sq cm
- 110 sq cm
- 78 sq cm
- 6 cm
- 3 cm
- 46 cm
- 32 sq cm
- 40 sq cm
- 52 cm
- 48 cm
- 11 cm
- 196 sq cm
- 12 cm
- 36 cm
- 26 sq cm
- 44 cm
- 28 cm
- 40 cm
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