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 7 cm long and 4 cm wide. What is its area? (a) 11 sq cm (b) 35 sq cm (c) 22 sq cm (d) 28 sq cm
- 2.A rectangle has an area of 105 sq cm and a length of 15 cm. What is its width? (a) 14 cm (b) 90 cm (c) 8 cm (d) 7 cm
- 3.A rectangle has an area of 160 sq cm and a length of 20 cm. What is its width? (a) 16 cm (b) 140 cm (c) 8 cm (d) 9 cm
- 4.A rectangle is 13 cm long and 3 cm wide. What is its area? (a) 52 sq cm (b) 16 sq cm (c) 39 sq cm (d) 32 sq cm
- 5.A rectangle has an area of 120 sq cm and a length of 12 cm. What is its width? (a) 108 cm (b) 20 cm (c) 10 cm (d) 11 cm
- 6.A rectangle is 8 cm long and 5 cm wide. What is its perimeter? (a) 13 cm (b) 26 cm (c) 21 cm (d) 40 cm
- 7.A rectangle has an area of 45 sq cm and a length of 9 cm. What is its width? (a) 5 cm (b) 36 cm (c) 6 cm (d) 10 cm
- 8.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 26 sq cm (b) 49 sq cm (c) 13 sq cm (d) 42 sq cm
- 9.A rectangle has an area of 117 sq cm and a length of 13 cm. What is its width? (a) 18 cm (b) 10 cm (c) 9 cm (d) 104 cm
- 10.A rectangle is 17 cm long and 6 cm wide. What is its area? (a) 46 sq cm (b) 23 sq cm (c) 102 sq cm (d) 119 sq cm
- 11.A rectangle has an area of 132 sq cm and a length of 12 cm. What is its width? (a) 120 cm (b) 22 cm (c) 12 cm (d) 11 cm
- 12.A rectangle is 9 cm long and 6 cm wide. What is its area? (a) 15 sq cm (b) 30 sq cm (c) 63 sq cm (d) 54 sq cm
- 13.A rectangle is 18 cm long and 3 cm wide. What is its perimeter? (a) 39 cm (b) 21 cm (c) 42 cm (d) 54 cm
- 14.A rectangle has an area of 156 sq cm and a length of 13 cm. What is its width? (a) 13 cm (b) 12 cm (c) 143 cm (d) 24 cm
- 15.A rectangle is 19 cm long and 12 cm wide. What is its perimeter? (a) 228 cm (b) 62 cm (c) 31 cm (d) 50 cm
- 16.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 42 sq cm (b) 24 sq cm (c) 12 sq cm (d) 35 sq cm
- 17.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 19 sq cm (b) 9 sq cm (c) 24 sq cm (d) 18 sq cm
- 18.A square has a perimeter of 24 cm. What is its area? (a) 36 sq cm (b) 12 sq cm (c) 49 sq cm (d) 24 sq cm
- 19.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 25 sq cm (c) 10 sq cm (d) 20 sq cm
- 20.A rectangle has an area of 60 sq cm and a length of 15 cm. What is its width? (a) 45 cm (b) 5 cm (c) 8 cm (d) 4 cm
- 21.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 48 sq cm (c) 24 sq cm (d) 144 sq cm
- 22.A rectangle has an area of 150 sq cm and a length of 15 cm. What is its width? (a) 11 cm (b) 135 cm (c) 10 cm (d) 20 cm
- 23.A square has a perimeter of 28 cm. What is its area? (a) 49 sq cm (b) 64 sq cm (c) 14 sq cm (d) 28 sq cm
- 24.A rectangle is 17 cm long and 8 cm wide. What is its perimeter? (a) 25 cm (b) 136 cm (c) 42 cm (d) 50 cm
- 25.A rectangle is 20 cm long and 6 cm wide. What is its area? (a) 120 sq cm (b) 52 sq cm (c) 140 sq cm (d) 26 sq cm
- 26.A rectangle has an area of 114 sq cm and a length of 19 cm. What is its width? (a) 6 cm (b) 95 cm (c) 12 cm (d) 7 cm
- 27.A rectangle is 12 cm long and 4 cm wide. What is its area? (a) 16 sq cm (b) 48 sq cm (c) 60 sq cm (d) 32 sq cm
- 28.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 144 sq cm (c) 121 sq cm (d) 22 sq cm
- 29.A rectangle has an area of 180 sq cm and a length of 15 cm. What is its width? (a) 13 cm (b) 24 cm (c) 165 cm (d) 12 cm
- 30.A rectangle is 13 cm long and 9 cm wide. What is its area? (a) 130 sq cm (b) 44 sq cm (c) 22 sq cm (d) 117 sq cm
- 31.A rectangle is 15 cm long and 2 cm wide. What is its perimeter? (a) 17 cm (b) 30 cm (c) 34 cm (d) 32 cm
- 32.A rectangle is 10 cm long and 9 cm wide. What is its area? (a) 100 sq cm (b) 90 sq cm (c) 38 sq cm (d) 19 sq cm
- 33.A rectangle is 20 cm long and 4 cm wide. What is its perimeter? (a) 80 cm (b) 24 cm (c) 44 cm (d) 48 cm
- 34.A rectangle has an area of 176 sq cm and a length of 16 cm. What is its width? (a) 11 cm (b) 22 cm (c) 160 cm (d) 12 cm
- 35.A rectangle is 11 cm long and 2 cm wide. What is its area? (a) 13 sq cm (b) 33 sq cm (c) 26 sq cm (d) 22 sq cm
- 36.A rectangle is 19 cm long and 5 cm wide. What is its area? (a) 48 sq cm (b) 95 sq cm (c) 24 sq cm (d) 114 sq cm
- 37.A rectangle is 19 cm long and 7 cm wide. What is its perimeter? (a) 45 cm (b) 133 cm (c) 26 cm (d) 52 cm
- 38.A rectangle is 14 cm long and 9 cm wide. What is its perimeter? (a) 46 cm (b) 37 cm (c) 126 cm (d) 23 cm
- 39.A rectangle is 16 cm long and 3 cm wide. What is its perimeter? (a) 48 cm (b) 38 cm (c) 35 cm (d) 19 cm
- 40.A rectangle is 14 cm long and 3 cm wide. What is its area? (a) 42 sq cm (b) 34 sq cm (c) 17 sq cm (d) 56 sq cm
Answer key
- 28 sq cm
- 7 cm
- 8 cm
- 39 sq cm
- 10 cm
- 26 cm
- 5 cm
- 42 sq cm
- 9 cm
- 102 sq cm
- 11 cm
- 54 sq cm
- 42 cm
- 12 cm
- 62 cm
- 35 sq cm
- 18 sq cm
- 36 sq cm
- 25 sq cm
- 4 cm
- 144 sq cm
- 10 cm
- 49 sq cm
- 50 cm
- 120 sq cm
- 6 cm
- 48 sq cm
- 121 sq cm
- 12 cm
- 117 sq cm
- 34 cm
- 90 sq cm
- 48 cm
- 11 cm
- 22 sq cm
- 95 sq cm
- 52 cm
- 46 cm
- 38 cm
- 42 sq cm
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