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 48 cm. What is its area? (a) 144 sq cm (b) 48 sq cm (c) 169 sq cm (d) 24 sq cm
- 2.A rectangle is 12 cm long and 4 cm wide. What is its perimeter? (a) 16 cm (b) 28 cm (c) 48 cm (d) 32 cm
- 3.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 42 sq cm (b) 35 sq cm (c) 24 sq cm (d) 12 sq cm
- 4.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
- 5.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
- 6.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 64 sq cm (c) 28 sq cm (d) 49 sq cm
- 7.A rectangle has an area of 170 sq cm and a length of 17 cm. What is its width? (a) 20 cm (b) 153 cm (c) 11 cm (d) 10 cm
- 8.A rectangle has an area of 30 sq cm and a length of 10 cm. What is its width? (a) 4 cm (b) 6 cm (c) 3 cm (d) 20 cm
- 9.A rectangle is 11 cm long and 8 cm wide. What is its perimeter? (a) 19 cm (b) 30 cm (c) 88 cm (d) 38 cm
- 10.A rectangle is 19 cm long and 12 cm wide. What is its area? (a) 62 sq cm (b) 228 sq cm (c) 31 sq cm (d) 247 sq cm
- 11.A rectangle is 9 cm long and 6 cm wide. What is its area? (a) 30 sq cm (b) 63 sq cm (c) 54 sq cm (d) 15 sq cm
- 12.A rectangle has an area of 48 sq cm and a length of 16 cm. What is its width? (a) 32 cm (b) 6 cm (c) 4 cm (d) 3 cm
- 13.A rectangle is 16 cm long and 10 cm wide. What is its area? (a) 176 sq cm (b) 160 sq cm (c) 52 sq cm (d) 26 sq cm
- 14.A rectangle is 11 cm long and 8 cm wide. What is its area? (a) 19 sq cm (b) 99 sq cm (c) 88 sq cm (d) 38 sq cm
- 15.A rectangle has an area of 18 sq cm and a length of 6 cm. What is its width? (a) 6 cm (b) 3 cm (c) 12 cm (d) 4 cm
- 16.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 36 sq cm (c) 49 sq cm (d) 24 sq cm
- 17.A rectangle is 18 cm long and 8 cm wide. What is its area? (a) 144 sq cm (b) 52 sq cm (c) 162 sq cm (d) 26 sq cm
- 18.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 9 sq cm (b) 24 sq cm (c) 19 sq cm (d) 18 sq cm
- 19.A rectangle has an area of 156 sq cm and a length of 13 cm. What is its width? (a) 24 cm (b) 143 cm (c) 13 cm (d) 12 cm
- 20.A rectangle has an area of 34 sq cm and a length of 17 cm. What is its width? (a) 17 cm (b) 4 cm (c) 3 cm (d) 2 cm
- 21.A rectangle is 13 cm long and 11 cm wide. What is its area? (a) 48 sq cm (b) 156 sq cm (c) 24 sq cm (d) 143 sq cm
- 22.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 32 sq cm (b) 22 sq cm (c) 11 sq cm (d) 24 sq cm
- 23.A rectangle is 10 cm long and 8 cm wide. What is its area? (a) 90 sq cm (b) 36 sq cm (c) 18 sq cm (d) 80 sq cm
- 24.A rectangle has an area of 120 sq cm and a length of 20 cm. What is its width? (a) 100 cm (b) 7 cm (c) 12 cm (d) 6 cm
- 25.A rectangle has an area of 44 sq cm and a length of 11 cm. What is its width? (a) 8 cm (b) 33 cm (c) 5 cm (d) 4 cm
- 26.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
- 27.A rectangle is 16 cm long and 8 cm wide. What is its perimeter? (a) 128 cm (b) 40 cm (c) 48 cm (d) 24 cm
- 28.A rectangle is 15 cm long and 11 cm wide. What is its perimeter? (a) 52 cm (b) 26 cm (c) 165 cm (d) 41 cm
- 29.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 12 cm (b) 14 cm (c) 16 cm (d) 8 cm
- 30.A square has a perimeter of 44 cm. What is its area? (a) 121 sq cm (b) 22 sq cm (c) 144 sq cm (d) 44 sq cm
- 31.A rectangle is 20 cm long and 2 cm wide. What is its perimeter? (a) 42 cm (b) 22 cm (c) 44 cm (d) 40 cm
- 32.A rectangle is 12 cm long and 4 cm wide. What is its area? (a) 16 sq cm (b) 48 sq cm (c) 32 sq cm (d) 60 sq cm
- 33.A rectangle is 19 cm long and 3 cm wide. What is its perimeter? (a) 41 cm (b) 44 cm (c) 57 cm (d) 22 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 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 square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 196 sq cm (c) 169 sq cm (d) 26 sq cm
- 37.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 20 sq cm (c) 100 sq cm (d) 121 sq cm
- 38.A rectangle is 16 cm long and 5 cm wide. What is its perimeter? (a) 37 cm (b) 42 cm (c) 21 cm (d) 80 cm
- 39.A rectangle is 10 cm long and 7 cm wide. What is its perimeter? (a) 17 cm (b) 27 cm (c) 70 cm (d) 34 cm
- 40.A rectangle has an area of 130 sq cm and a length of 13 cm. What is its width? (a) 10 cm (b) 20 cm (c) 11 cm (d) 117 cm
Answer key
- 144 sq cm
- 32 cm
- 35 sq cm
- 30 cm
- 22 cm
- 49 sq cm
- 10 cm
- 3 cm
- 38 cm
- 228 sq cm
- 54 sq cm
- 3 cm
- 160 sq cm
- 88 sq cm
- 3 cm
- 36 sq cm
- 144 sq cm
- 18 sq cm
- 12 cm
- 2 cm
- 143 sq cm
- 24 sq cm
- 80 sq cm
- 6 cm
- 4 cm
- 36 cm
- 48 cm
- 52 cm
- 16 cm
- 121 sq cm
- 44 cm
- 48 sq cm
- 44 cm
- 9 cm
- 12 cm
- 169 sq cm
- 100 sq cm
- 42 cm
- 34 cm
- 10 cm
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