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 91 sq cm and a length of 13 cm. What is its width? (a) 78 cm (b) 8 cm (c) 14 cm (d) 7 cm
- 2.A rectangle is 12 cm long and 9 cm wide. What is its perimeter? (a) 21 cm (b) 42 cm (c) 108 cm (d) 33 cm
- 3.A rectangle has an area of 180 sq cm and a length of 20 cm. What is its width? (a) 18 cm (b) 10 cm (c) 160 cm (d) 9 cm
- 4.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 30 sq cm (b) 56 sq cm (c) 64 sq cm (d) 15 sq cm
- 5.A rectangle has an area of 12 sq cm and a length of 4 cm. What is its width? (a) 8 cm (b) 4 cm (c) 3 cm (d) 6 cm
- 6.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 28 sq cm (c) 64 sq cm (d) 49 sq cm
- 7.A rectangle is 16 cm long and 8 cm wide. What is its area? (a) 128 sq cm (b) 144 sq cm (c) 24 sq cm (d) 48 sq cm
- 8.A rectangle has an area of 20 sq cm and a length of 10 cm. What is its width? (a) 4 cm (b) 10 cm (c) 3 cm (d) 2 cm
- 9.A rectangle is 10 cm long and 3 cm wide. What is its area? (a) 26 sq cm (b) 13 sq cm (c) 40 sq cm (d) 30 sq cm
- 10.A rectangle is 19 cm long and 9 cm wide. What is its perimeter? (a) 47 cm (b) 171 cm (c) 28 cm (d) 56 cm
- 11.A rectangle is 14 cm long and 10 cm wide. What is its area? (a) 48 sq cm (b) 24 sq cm (c) 140 sq cm (d) 154 sq cm
- 12.A rectangle is 18 cm long and 11 cm wide. What is its area? (a) 29 sq cm (b) 58 sq cm (c) 216 sq cm (d) 198 sq cm
- 13.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 64 sq cm (c) 81 sq cm (d) 32 sq cm
- 14.A rectangle has an area of 156 sq cm and a length of 13 cm. What is its width? (a) 143 cm (b) 13 cm (c) 12 cm (d) 24 cm
- 15.A rectangle is 12 cm long and 11 cm wide. What is its area? (a) 144 sq cm (b) 46 sq cm (c) 132 sq cm (d) 23 sq cm
- 16.A rectangle has an area of 50 sq cm and a length of 10 cm. What is its width? (a) 10 cm (b) 6 cm (c) 40 cm (d) 5 cm
- 17.A rectangle has an area of 27 sq cm and a length of 9 cm. What is its width? (a) 4 cm (b) 3 cm (c) 18 cm (d) 6 cm
- 18.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 20 sq cm (c) 36 sq cm (d) 25 sq cm
- 19.A rectangle is 13 cm long and 6 cm wide. What is its perimeter? (a) 78 cm (b) 32 cm (c) 38 cm (d) 19 cm
- 20.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 26 sq cm (c) 169 sq cm (d) 52 sq cm
- 21.A rectangle has an area of 180 sq cm and a length of 15 cm. What is its width? (a) 24 cm (b) 12 cm (c) 165 cm (d) 13 cm
- 22.A rectangle is 19 cm long and 12 cm wide. What is its area? (a) 62 sq cm (b) 247 sq cm (c) 31 sq cm (d) 228 sq cm
- 23.A rectangle has an area of 171 sq cm and a length of 19 cm. What is its width? (a) 18 cm (b) 152 cm (c) 10 cm (d) 9 cm
- 24.A rectangle has an area of 132 sq cm and a length of 12 cm. What is its width? (a) 22 cm (b) 12 cm (c) 11 cm (d) 120 cm
- 25.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 56 sq cm (c) 225 sq cm (d) 28 sq cm
- 26.A rectangle has an area of 45 sq cm and a length of 15 cm. What is its width? (a) 3 cm (b) 4 cm (c) 30 cm (d) 6 cm
- 27.A rectangle is 18 cm long and 9 cm wide. What is its perimeter? (a) 162 cm (b) 27 cm (c) 54 cm (d) 45 cm
- 28.A rectangle has an area of 72 sq cm and a length of 9 cm. What is its width? (a) 9 cm (b) 16 cm (c) 63 cm (d) 8 cm
- 29.A rectangle is 12 cm long and 6 cm wide. What is its area? (a) 84 sq cm (b) 36 sq cm (c) 18 sq cm (d) 72 sq cm
- 30.A rectangle is 20 cm long and 10 cm wide. What is its area? (a) 220 sq cm (b) 30 sq cm (c) 200 sq cm (d) 60 sq cm
- 31.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 20 sq cm (c) 121 sq cm (d) 100 sq cm
- 32.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 42 cm (b) 20 cm (c) 26 cm (d) 13 cm
- 33.A rectangle is 16 cm long and 5 cm wide. What is its area? (a) 42 sq cm (b) 96 sq cm (c) 80 sq cm (d) 21 sq cm
- 34.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 22 cm (b) 18 cm (c) 11 cm (d) 28 cm
- 35.A rectangle has an area of 44 sq cm and a length of 11 cm. What is its width? (a) 33 cm (b) 4 cm (c) 5 cm (d) 8 cm
- 36.A rectangle is 8 cm long and 7 cm wide. What is its perimeter? (a) 23 cm (b) 30 cm (c) 56 cm (d) 15 cm
- 37.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 24 sq cm (b) 12 sq cm (c) 32 sq cm (d) 40 sq cm
- 38.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 21 sq cm (b) 18 sq cm (c) 14 sq cm (d) 9 sq cm
- 39.A rectangle has an area of 30 sq cm and a length of 6 cm. What is its width? (a) 10 cm (b) 5 cm (c) 6 cm (d) 24 cm
- 40.A rectangle is 19 cm long and 11 cm wide. What is its area? (a) 30 sq cm (b) 209 sq cm (c) 60 sq cm (d) 228 sq cm
Answer key
- 7 cm
- 42 cm
- 9 cm
- 56 sq cm
- 3 cm
- 49 sq cm
- 128 sq cm
- 2 cm
- 30 sq cm
- 56 cm
- 140 sq cm
- 198 sq cm
- 64 sq cm
- 12 cm
- 132 sq cm
- 5 cm
- 3 cm
- 25 sq cm
- 38 cm
- 169 sq cm
- 12 cm
- 228 sq cm
- 9 cm
- 11 cm
- 196 sq cm
- 3 cm
- 54 cm
- 8 cm
- 72 sq cm
- 200 sq cm
- 100 sq cm
- 26 cm
- 80 sq cm
- 22 cm
- 4 cm
- 30 cm
- 32 sq cm
- 14 sq cm
- 5 cm
- 209 sq cm
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