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 14 cm long and 5 cm wide. What is its area? (a) 70 sq cm (b) 84 sq cm (c) 19 sq cm (d) 38 sq cm
- 2.A rectangle is 14 cm long and 7 cm wide. What is its perimeter? (a) 35 cm (b) 98 cm (c) 42 cm (d) 21 cm
- 3.A rectangle has an area of 156 sq cm and a length of 13 cm. What is its width? (a) 143 cm (b) 12 cm (c) 13 cm (d) 24 cm
- 4.A rectangle is 10 cm long and 8 cm wide. What is its perimeter? (a) 28 cm (b) 18 cm (c) 80 cm (d) 36 cm
- 5.A rectangle has an area of 70 sq cm and a length of 14 cm. What is its width? (a) 56 cm (b) 10 cm (c) 6 cm (d) 5 cm
- 6.A rectangle has an area of 240 sq cm and a length of 20 cm. What is its width? (a) 24 cm (b) 220 cm (c) 13 cm (d) 12 cm
- 7.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 81 sq cm (c) 32 sq cm (d) 64 sq cm
- 8.A rectangle is 16 cm long and 2 cm wide. What is its area? (a) 36 sq cm (b) 18 sq cm (c) 32 sq cm (d) 48 sq cm
- 9.A rectangle is 20 cm long and 3 cm wide. What is its perimeter? (a) 60 cm (b) 23 cm (c) 46 cm (d) 43 cm
- 10.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 49 sq cm (c) 64 sq cm (d) 14 sq cm
- 11.A rectangle has an area of 126 sq cm and a length of 18 cm. What is its width? (a) 108 cm (b) 14 cm (c) 8 cm (d) 7 cm
- 12.A rectangle is 20 cm long and 10 cm wide. What is its perimeter? (a) 30 cm (b) 50 cm (c) 60 cm (d) 200 cm
- 13.A rectangle has an area of 90 sq cm and a length of 10 cm. What is its width? (a) 10 cm (b) 80 cm (c) 9 cm (d) 18 cm
- 14.A rectangle is 18 cm long and 7 cm wide. What is its area? (a) 50 sq cm (b) 126 sq cm (c) 144 sq cm (d) 25 sq cm
- 15.A rectangle has an area of 160 sq cm and a length of 20 cm. What is its width? (a) 16 cm (b) 8 cm (c) 9 cm (d) 140 cm
- 16.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 56 sq cm (c) 196 sq cm (d) 225 sq cm
- 17.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 56 sq cm (b) 28 sq cm (c) 14 sq cm (d) 48 sq cm
- 18.A rectangle has an area of 21 sq cm and a length of 7 cm. What is its width? (a) 3 cm (b) 14 cm (c) 6 cm (d) 4 cm
- 19.A rectangle has an area of 80 sq cm and a length of 20 cm. What is its width? (a) 60 cm (b) 8 cm (c) 5 cm (d) 4 cm
- 20.A rectangle has an area of 16 sq cm and a length of 8 cm. What is its width? (a) 3 cm (b) 4 cm (c) 2 cm (d) 8 cm
- 21.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 24 sq cm (c) 36 sq cm (d) 12 sq cm
- 22.A rectangle has an area of 18 sq cm and a length of 9 cm. What is its width? (a) 9 cm (b) 2 cm (c) 4 cm (d) 3 cm
- 23.A rectangle is 12 cm long and 10 cm wide. What is its perimeter? (a) 44 cm (b) 22 cm (c) 120 cm (d) 34 cm
- 24.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 36 sq cm (c) 20 sq cm (d) 25 sq cm
- 25.A rectangle has an area of 65 sq cm and a length of 13 cm. What is its width? (a) 6 cm (b) 5 cm (c) 52 cm (d) 10 cm
- 26.A rectangle is 11 cm long and 8 cm wide. What is its area? (a) 38 sq cm (b) 19 sq cm (c) 99 sq cm (d) 88 sq cm
- 27.A rectangle is 16 cm long and 3 cm wide. What is its area? (a) 38 sq cm (b) 19 sq cm (c) 64 sq cm (d) 48 sq cm
- 28.A rectangle has an area of 55 sq cm and a length of 11 cm. What is its width? (a) 44 cm (b) 10 cm (c) 6 cm (d) 5 cm
- 29.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 100 sq cm (c) 20 sq cm (d) 121 sq cm
- 30.A rectangle is 12 cm long and 9 cm wide. What is its perimeter? (a) 108 cm (b) 33 cm (c) 21 cm (d) 42 cm
- 31.A rectangle is 10 cm long and 7 cm wide. What is its area? (a) 80 sq cm (b) 17 sq cm (c) 34 sq cm (d) 70 sq cm
- 32.A rectangle has an area of 40 sq cm and a length of 8 cm. What is its width? (a) 10 cm (b) 32 cm (c) 5 cm (d) 6 cm
- 33.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 19 cm (b) 15 cm (c) 9 cm (d) 18 cm
- 34.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 12 cm (b) 19 cm (c) 24 cm (d) 35 cm
- 35.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
- 36.A rectangle has an area of 26 sq cm and a length of 13 cm. What is its width? (a) 13 cm (b) 4 cm (c) 2 cm (d) 3 cm
- 37.A rectangle has an area of 22 sq cm and a length of 11 cm. What is its width? (a) 11 cm (b) 2 cm (c) 3 cm (d) 4 cm
- 38.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 36 sq cm (c) 18 sq cm (d) 81 sq cm
- 39.A rectangle has an area of 57 sq cm and a length of 19 cm. What is its width? (a) 4 cm (b) 6 cm (c) 38 cm (d) 3 cm
- 40.A rectangle has an area of 72 sq cm and a length of 12 cm. What is its width? (a) 7 cm (b) 12 cm (c) 6 cm (d) 60 cm
Answer key
- 70 sq cm
- 42 cm
- 12 cm
- 36 cm
- 5 cm
- 12 cm
- 64 sq cm
- 32 sq cm
- 46 cm
- 49 sq cm
- 7 cm
- 60 cm
- 9 cm
- 126 sq cm
- 8 cm
- 196 sq cm
- 48 sq cm
- 3 cm
- 4 cm
- 2 cm
- 36 sq cm
- 2 cm
- 44 cm
- 25 sq cm
- 5 cm
- 88 sq cm
- 48 sq cm
- 5 cm
- 100 sq cm
- 42 cm
- 70 sq cm
- 5 cm
- 18 cm
- 24 cm
- 9 cm
- 2 cm
- 2 cm
- 81 sq cm
- 3 cm
- 6 cm
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