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 36 cm. What is its area? (a) 18 sq cm (b) 36 sq cm (c) 81 sq cm (d) 100 sq cm
- 2.A square has a perimeter of 32 cm. What is its area? (a) 64 sq cm (b) 32 sq cm (c) 81 sq cm (d) 16 sq cm
- 3.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
- 4.A rectangle is 13 cm long and 9 cm wide. What is its perimeter? (a) 44 cm (b) 35 cm (c) 117 cm (d) 22 cm
- 5.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 36 sq cm (c) 10 sq cm (d) 20 sq cm
- 6.A rectangle is 15 cm long and 4 cm wide. What is its area? (a) 19 sq cm (b) 38 sq cm (c) 75 sq cm (d) 60 sq cm
- 7.A rectangle has an area of 30 sq cm and a length of 10 cm. What is its width? (a) 20 cm (b) 6 cm (c) 4 cm (d) 3 cm
- 8.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 35 cm (b) 24 cm (c) 12 cm (d) 19 cm
- 9.A rectangle is 20 cm long and 9 cm wide. What is its area? (a) 180 sq cm (b) 200 sq cm (c) 29 sq cm (d) 58 sq cm
- 10.A rectangle is 12 cm long and 2 cm wide. What is its area? (a) 24 sq cm (b) 28 sq cm (c) 36 sq cm (d) 14 sq cm
- 11.A rectangle is 10 cm long and 6 cm wide. What is its area? (a) 32 sq cm (b) 16 sq cm (c) 70 sq cm (d) 60 sq cm
- 12.A rectangle has an area of 228 sq cm and a length of 19 cm. What is its width? (a) 13 cm (b) 12 cm (c) 24 cm (d) 209 cm
- 13.A rectangle is 9 cm long and 7 cm wide. What is its perimeter? (a) 32 cm (b) 63 cm (c) 25 cm (d) 16 cm
- 14.A rectangle is 16 cm long and 10 cm wide. What is its area? (a) 176 sq cm (b) 160 sq cm (c) 26 sq cm (d) 52 sq cm
- 15.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 12 sq cm (c) 18 sq cm (d) 8 sq cm
- 16.A rectangle is 19 cm long and 3 cm wide. What is its perimeter? (a) 44 cm (b) 22 cm (c) 57 cm (d) 41 cm
- 17.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 10 sq cm (b) 28 sq cm (c) 20 sq cm (d) 21 sq cm
- 18.A rectangle is 8 cm long and 7 cm wide. What is its perimeter? (a) 15 cm (b) 56 cm (c) 30 cm (d) 23 cm
- 19.A rectangle is 11 cm long and 9 cm wide. What is its area? (a) 99 sq cm (b) 110 sq cm (c) 40 sq cm (d) 20 sq cm
- 20.A rectangle is 16 cm long and 5 cm wide. What is its area? (a) 96 sq cm (b) 21 sq cm (c) 80 sq cm (d) 42 sq cm
- 21.A rectangle is 19 cm long and 2 cm wide. What is its area? (a) 42 sq cm (b) 21 sq cm (c) 57 sq cm (d) 38 sq cm
- 22.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 24 sq cm (d) 16 sq cm
- 23.A rectangle is 13 cm long and 8 cm wide. What is its area? (a) 42 sq cm (b) 21 sq cm (c) 104 sq cm (d) 117 sq cm
- 24.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
- 25.A rectangle is 11 cm long and 3 cm wide. What is its area? (a) 28 sq cm (b) 33 sq cm (c) 44 sq cm (d) 14 sq cm
- 26.A rectangle is 19 cm long and 8 cm wide. What is its perimeter? (a) 46 cm (b) 152 cm (c) 54 cm (d) 27 cm
- 27.A square has a perimeter of 44 cm. What is its area? (a) 121 sq cm (b) 144 sq cm (c) 44 sq cm (d) 22 sq cm
- 28.A rectangle is 20 cm long and 10 cm wide. What is its area? (a) 30 sq cm (b) 60 sq cm (c) 200 sq cm (d) 220 sq cm
- 29.A rectangle has an area of 140 sq cm and a length of 14 cm. What is its width? (a) 11 cm (b) 20 cm (c) 10 cm (d) 126 cm
- 30.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 12 sq cm (b) 24 sq cm (c) 42 sq cm (d) 35 sq cm
- 31.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 10 cm (b) 20 cm (c) 16 cm (d) 24 cm
- 32.A rectangle is 8 cm long and 5 cm wide. What is its perimeter? (a) 26 cm (b) 13 cm (c) 21 cm (d) 40 cm
- 33.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 13 cm (b) 20 cm (c) 26 cm (d) 42 cm
- 34.A rectangle is 20 cm long and 10 cm wide. What is its perimeter? (a) 200 cm (b) 50 cm (c) 60 cm (d) 30 cm
- 35.A rectangle is 15 cm long and 3 cm wide. What is its area? (a) 36 sq cm (b) 45 sq cm (c) 18 sq cm (d) 60 sq cm
- 36.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 36 sq cm (b) 12 sq cm (c) 27 sq cm (d) 24 sq cm
- 37.A rectangle is 11 cm long and 2 cm wide. What is its perimeter? (a) 22 cm (b) 24 cm (c) 13 cm (d) 26 cm
- 38.A rectangle is 16 cm long and 7 cm wide. What is its area? (a) 128 sq cm (b) 23 sq cm (c) 46 sq cm (d) 112 sq cm
- 39.A rectangle has an area of 8 sq cm and a length of 4 cm. What is its width? (a) 4 cm (b) 2 cm (c) 1 cm (d) 3 cm
- 40.A rectangle is 16 cm long and 4 cm wide. What is its perimeter? (a) 20 cm (b) 36 cm (c) 64 cm (d) 40 cm
Answer key
- 81 sq cm
- 64 sq cm
- 225 sq cm
- 44 cm
- 25 sq cm
- 60 sq cm
- 3 cm
- 24 cm
- 180 sq cm
- 24 sq cm
- 60 sq cm
- 12 cm
- 32 cm
- 160 sq cm
- 12 sq cm
- 44 cm
- 21 sq cm
- 30 cm
- 99 sq cm
- 80 sq cm
- 38 sq cm
- 16 sq cm
- 104 sq cm
- 49 sq cm
- 33 sq cm
- 54 cm
- 121 sq cm
- 200 sq cm
- 10 cm
- 35 sq cm
- 20 cm
- 26 cm
- 26 cm
- 60 cm
- 45 sq cm
- 27 sq cm
- 26 cm
- 112 sq cm
- 2 cm
- 40 cm
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