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 18 cm long and 6 cm wide. What is its perimeter? (a) 24 cm (b) 48 cm (c) 42 cm (d) 108 cm
- 2.A rectangle is 20 cm long and 12 cm wide. What is its area? (a) 240 sq cm (b) 32 sq cm (c) 260 sq cm (d) 64 sq cm
- 3.A square has a perimeter of 44 cm. What is its area? (a) 121 sq cm (b) 144 sq cm (c) 22 sq cm (d) 44 sq cm
- 4.A rectangle is 19 cm long and 11 cm wide. What is its perimeter? (a) 209 cm (b) 30 cm (c) 60 cm (d) 49 cm
- 5.A rectangle is 10 cm long and 3 cm wide. What is its perimeter? (a) 13 cm (b) 26 cm (c) 30 cm (d) 23 cm
- 6.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 30 sq cm (c) 225 sq cm (d) 60 sq cm
- 7.A rectangle has an area of 228 sq cm and a length of 19 cm. What is its width? (a) 13 cm (b) 24 cm (c) 12 cm (d) 209 cm
- 8.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 28 cm (b) 11 cm (c) 22 cm (d) 18 cm
- 9.A rectangle has an area of 75 sq cm and a length of 15 cm. What is its width? (a) 5 cm (b) 60 cm (c) 6 cm (d) 10 cm
- 10.A rectangle is 20 cm long and 8 cm wide. What is its area? (a) 56 sq cm (b) 160 sq cm (c) 180 sq cm (d) 28 sq cm
- 11.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 20 cm (b) 10 cm (c) 16 cm (d) 18 cm
- 12.A rectangle has an area of 36 sq cm and a length of 12 cm. What is its width? (a) 24 cm (b) 6 cm (c) 4 cm (d) 3 cm
- 13.A rectangle is 10 cm long and 8 cm wide. What is its perimeter? (a) 80 cm (b) 18 cm (c) 28 cm (d) 36 cm
- 14.A rectangle is 20 cm long and 5 cm wide. What is its area? (a) 100 sq cm (b) 25 sq cm (c) 50 sq cm (d) 120 sq cm
- 15.A rectangle has an area of 140 sq cm and a length of 14 cm. What is its width? (a) 126 cm (b) 11 cm (c) 20 cm (d) 10 cm
- 16.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 30 cm (b) 22 cm (c) 17 cm (d) 11 cm
- 17.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 28 sq cm (c) 225 sq cm (d) 56 sq cm
- 18.A rectangle is 10 cm long and 7 cm wide. What is its area? (a) 17 sq cm (b) 70 sq cm (c) 80 sq cm (d) 34 sq cm
- 19.A square has a perimeter of 52 cm. What is its area? (a) 26 sq cm (b) 169 sq cm (c) 196 sq cm (d) 52 sq cm
- 20.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 49 sq cm (d) 64 sq cm
- 21.A rectangle has an area of 90 sq cm and a length of 10 cm. What is its width? (a) 80 cm (b) 9 cm (c) 10 cm (d) 18 cm
- 22.A rectangle is 14 cm long and 8 cm wide. What is its perimeter? (a) 36 cm (b) 112 cm (c) 44 cm (d) 22 cm
- 23.A rectangle is 9 cm long and 6 cm wide. What is its perimeter? (a) 30 cm (b) 15 cm (c) 54 cm (d) 24 cm
- 24.A rectangle has an area of 108 sq cm and a length of 18 cm. What is its width? (a) 6 cm (b) 7 cm (c) 12 cm (d) 90 cm
- 25.A rectangle is 10 cm long and 9 cm wide. What is its area? (a) 19 sq cm (b) 90 sq cm (c) 100 sq cm (d) 38 sq cm
- 26.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 8 sq cm (b) 18 sq cm (c) 12 sq cm (d) 16 sq cm
- 27.A rectangle has an area of 76 sq cm and a length of 19 cm. What is its width? (a) 57 cm (b) 4 cm (c) 5 cm (d) 8 cm
- 28.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 24 sq cm (c) 169 sq cm (d) 144 sq cm
- 29.A rectangle is 16 cm long and 10 cm wide. What is its area? (a) 26 sq cm (b) 160 sq cm (c) 176 sq cm (d) 52 sq cm
- 30.A rectangle is 18 cm long and 9 cm wide. What is its perimeter? (a) 27 cm (b) 162 cm (c) 45 cm (d) 54 cm
- 31.A rectangle is 12 cm long and 9 cm wide. What is its area? (a) 120 sq cm (b) 108 sq cm (c) 21 sq cm (d) 42 sq cm
- 32.A rectangle is 15 cm long and 7 cm wide. What is its area? (a) 120 sq cm (b) 22 sq cm (c) 105 sq cm (d) 44 sq cm
- 33.A rectangle is 19 cm long and 4 cm wide. What is its perimeter? (a) 46 cm (b) 42 cm (c) 23 cm (d) 76 cm
- 34.A rectangle has an area of 171 sq cm and a length of 19 cm. What is its width? (a) 18 cm (b) 10 cm (c) 152 cm (d) 9 cm
- 35.A rectangle has an area of 112 sq cm and a length of 14 cm. What is its width? (a) 9 cm (b) 16 cm (c) 98 cm (d) 8 cm
- 36.A rectangle is 12 cm long and 3 cm wide. What is its area? (a) 36 sq cm (b) 30 sq cm (c) 48 sq cm (d) 15 sq cm
- 37.A rectangle has an area of 24 sq cm and a length of 12 cm. What is its width? (a) 3 cm (b) 2 cm (c) 4 cm (d) 12 cm
- 38.A rectangle has an area of 77 sq cm and a length of 11 cm. What is its width? (a) 7 cm (b) 14 cm (c) 66 cm (d) 8 cm
- 39.A rectangle is 8 cm long and 4 cm wide. What is its perimeter? (a) 32 cm (b) 24 cm (c) 20 cm (d) 12 cm
- 40.A rectangle is 18 cm long and 3 cm wide. What is its perimeter? (a) 42 cm (b) 54 cm (c) 39 cm (d) 21 cm
Answer key
- 48 cm
- 240 sq cm
- 121 sq cm
- 60 cm
- 26 cm
- 225 sq cm
- 12 cm
- 22 cm
- 5 cm
- 160 sq cm
- 20 cm
- 3 cm
- 36 cm
- 100 sq cm
- 10 cm
- 22 cm
- 196 sq cm
- 70 sq cm
- 169 sq cm
- 49 sq cm
- 9 cm
- 44 cm
- 30 cm
- 6 cm
- 90 sq cm
- 12 sq cm
- 4 cm
- 144 sq cm
- 160 sq cm
- 54 cm
- 108 sq cm
- 105 sq cm
- 46 cm
- 9 cm
- 8 cm
- 36 sq cm
- 2 cm
- 7 cm
- 24 cm
- 42 cm
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