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 240 sq cm and a length of 20 cm. What is its width? (a) 12 cm (b) 24 cm (c) 220 cm (d) 13 cm
- 2.A rectangle is 15 cm long and 6 cm wide. What is its perimeter? (a) 90 cm (b) 21 cm (c) 42 cm (d) 36 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 10 cm long and 8 cm wide. What is its area? (a) 80 sq cm (b) 18 sq cm (c) 90 sq cm (d) 36 sq cm
- 5.A rectangle is 17 cm long and 2 cm wide. What is its area? (a) 19 sq cm (b) 34 sq cm (c) 38 sq cm (d) 51 sq cm
- 6.A rectangle has an area of 72 sq cm and a length of 12 cm. What is its width? (a) 6 cm (b) 12 cm (c) 60 cm (d) 7 cm
- 7.A rectangle has an area of 228 sq cm and a length of 19 cm. What is its width? (a) 209 cm (b) 24 cm (c) 13 cm (d) 12 cm
- 8.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 225 sq cm (c) 30 sq cm (d) 256 sq cm
- 9.A rectangle is 12 cm long and 6 cm wide. What is its area? (a) 84 sq cm (b) 72 sq cm (c) 18 sq cm (d) 36 sq cm
- 10.A rectangle is 15 cm long and 9 cm wide. What is its perimeter? (a) 48 cm (b) 135 cm (c) 24 cm (d) 39 cm
- 11.A rectangle is 19 cm long and 5 cm wide. What is its perimeter? (a) 24 cm (b) 95 cm (c) 43 cm (d) 48 cm
- 12.A rectangle is 10 cm long and 5 cm wide. What is its perimeter? (a) 25 cm (b) 30 cm (c) 50 cm (d) 15 cm
- 13.A rectangle is 14 cm long and 9 cm wide. What is its area? (a) 140 sq cm (b) 126 sq cm (c) 46 sq cm (d) 23 sq cm
- 14.A rectangle has an area of 130 sq cm and a length of 13 cm. What is its width? (a) 20 cm (b) 10 cm (c) 117 cm (d) 11 cm
- 15.A rectangle has an area of 132 sq cm and a length of 12 cm. What is its width? (a) 12 cm (b) 22 cm (c) 11 cm (d) 120 cm
- 16.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 26 sq cm (c) 196 sq cm (d) 169 sq cm
- 17.A rectangle has an area of 128 sq cm and a length of 16 cm. What is its width? (a) 8 cm (b) 16 cm (c) 9 cm (d) 112 cm
- 18.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 100 sq cm (c) 40 sq cm (d) 121 sq cm
- 19.A rectangle is 20 cm long and 3 cm wide. What is its area? (a) 80 sq cm (b) 23 sq cm (c) 60 sq cm (d) 46 sq cm
- 20.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 81 sq cm (c) 64 sq cm (d) 16 sq cm
- 21.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 36 sq cm (d) 25 sq cm
- 22.A rectangle is 10 cm long and 6 cm wide. What is its perimeter? (a) 60 cm (b) 26 cm (c) 32 cm (d) 16 cm
- 23.A rectangle is 13 cm long and 11 cm wide. What is its area? (a) 24 sq cm (b) 156 sq cm (c) 48 sq cm (d) 143 sq cm
- 24.A rectangle is 11 cm long and 2 cm wide. What is its perimeter? (a) 26 cm (b) 22 cm (c) 24 cm (d) 13 cm
- 25.A square has a perimeter of 24 cm. What is its area? (a) 36 sq cm (b) 12 sq cm (c) 24 sq cm (d) 49 sq cm
- 26.A rectangle has an area of 52 sq cm and a length of 13 cm. What is its width? (a) 8 cm (b) 39 cm (c) 4 cm (d) 5 cm
- 27.A rectangle is 10 cm long and 4 cm wide. What is its perimeter? (a) 40 cm (b) 14 cm (c) 28 cm (d) 24 cm
- 28.A rectangle is 19 cm long and 3 cm wide. What is its area? (a) 22 sq cm (b) 57 sq cm (c) 44 sq cm (d) 76 sq cm
- 29.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 36 sq cm (b) 13 sq cm (c) 26 sq cm (d) 45 sq cm
- 30.A rectangle is 9 cm long and 5 cm wide. What is its perimeter? (a) 45 cm (b) 23 cm (c) 28 cm (d) 14 cm
- 31.A rectangle is 20 cm long and 5 cm wide. What is its perimeter? (a) 50 cm (b) 100 cm (c) 25 cm (d) 45 cm
- 32.A rectangle has an area of 108 sq cm and a length of 12 cm. What is its width? (a) 10 cm (b) 18 cm (c) 96 cm (d) 9 cm
- 33.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 24 sq cm (c) 144 sq cm (d) 48 sq cm
- 34.A rectangle is 19 cm long and 8 cm wide. What is its area? (a) 171 sq cm (b) 152 sq cm (c) 27 sq cm (d) 54 sq cm
- 35.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 24 cm (b) 12 cm (c) 35 cm (d) 19 cm
- 36.A rectangle is 12 cm long and 9 cm wide. What is its area? (a) 21 sq cm (b) 42 sq cm (c) 120 sq cm (d) 108 sq cm
- 37.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 24 sq cm (b) 20 sq cm (c) 30 sq cm (d) 10 sq cm
- 38.A rectangle has an area of 68 sq cm and a length of 17 cm. What is its width? (a) 8 cm (b) 51 cm (c) 5 cm (d) 4 cm
- 39.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 24 sq cm (b) 32 sq cm (c) 40 sq cm (d) 12 sq cm
- 40.A rectangle is 11 cm long and 8 cm wide. What is its perimeter? (a) 38 cm (b) 30 cm (c) 88 cm (d) 19 cm
Answer key
- 12 cm
- 42 cm
- 121 sq cm
- 80 sq cm
- 34 sq cm
- 6 cm
- 12 cm
- 225 sq cm
- 72 sq cm
- 48 cm
- 48 cm
- 30 cm
- 126 sq cm
- 10 cm
- 11 cm
- 169 sq cm
- 8 cm
- 100 sq cm
- 60 sq cm
- 64 sq cm
- 25 sq cm
- 32 cm
- 143 sq cm
- 26 cm
- 36 sq cm
- 4 cm
- 28 cm
- 57 sq cm
- 36 sq cm
- 28 cm
- 50 cm
- 9 cm
- 144 sq cm
- 152 sq cm
- 24 cm
- 108 sq cm
- 24 sq cm
- 4 cm
- 32 sq cm
- 38 cm
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