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.
NameDateTime takenScore ___ / 40
- 1.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 9 sq cm (b) 18 sq cm (c) 14 sq cm (d) 21 sq cm
- 2.A rectangle has an area of 143 sq cm and a length of 13 cm. What is its width? (a) 130 cm (b) 22 cm (c) 12 cm (d) 11 cm
- 3.A rectangle is 15 cm long and 12 cm wide. What is its perimeter? (a) 54 cm (b) 180 cm (c) 42 cm (d) 27 cm
- 4.A rectangle is 11 cm long and 2 cm wide. What is its area? (a) 13 sq cm (b) 22 sq cm (c) 26 sq cm (d) 33 sq cm
- 5.A rectangle has an area of 220 sq cm and a length of 20 cm. What is its width? (a) 11 cm (b) 22 cm (c) 200 cm (d) 12 cm
- 6.A rectangle is 12 cm long and 10 cm wide. What is its perimeter? (a) 120 cm (b) 22 cm (c) 34 cm (d) 44 cm
- 7.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 16 sq cm (c) 64 sq cm (d) 81 sq cm
- 8.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 24 cm (b) 22 cm (c) 19 cm (d) 11 cm
- 9.A rectangle has an area of 40 sq cm and a length of 8 cm. What is its width? (a) 5 cm (b) 32 cm (c) 6 cm (d) 10 cm
- 10.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
- 11.A rectangle is 11 cm long and 8 cm wide. What is its perimeter? (a) 38 cm (b) 19 cm (c) 88 cm (d) 30 cm
- 12.A rectangle is 15 cm long and 8 cm wide. What is its perimeter? (a) 23 cm (b) 38 cm (c) 46 cm (d) 120 cm
- 13.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 49 sq cm (c) 24 sq cm (d) 36 sq cm
- 14.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 30 sq cm (c) 225 sq cm (d) 60 sq cm
- 15.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 225 sq cm (c) 28 sq cm (d) 196 sq cm
- 16.A rectangle has an area of 180 sq cm and a length of 15 cm. What is its width? (a) 13 cm (b) 165 cm (c) 24 cm (d) 12 cm
- 17.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 42 sq cm (b) 26 sq cm (c) 49 sq cm (d) 13 sq cm
- 18.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 10 sq cm (c) 36 sq cm (d) 20 sq cm
- 19.A rectangle is 11 cm long and 9 cm wide. What is its area? (a) 99 sq cm (b) 40 sq cm (c) 110 sq cm (d) 20 sq cm
- 20.A rectangle has an area of 126 sq cm and a length of 18 cm. What is its width? (a) 8 cm (b) 14 cm (c) 7 cm (d) 108 cm
- 21.A rectangle has an area of 90 sq cm and a length of 18 cm. What is its width? (a) 72 cm (b) 5 cm (c) 6 cm (d) 10 cm
- 22.A rectangle is 10 cm long and 2 cm wide. What is its perimeter? (a) 12 cm (b) 22 cm (c) 20 cm (d) 24 cm
- 23.A rectangle has an area of 192 sq cm and a length of 16 cm. What is its width? (a) 176 cm (b) 13 cm (c) 24 cm (d) 12 cm
- 24.A rectangle has an area of 168 sq cm and a length of 14 cm. What is its width? (a) 24 cm (b) 154 cm (c) 13 cm (d) 12 cm
- 25.A rectangle is 17 cm long and 5 cm wide. What is its perimeter? (a) 44 cm (b) 22 cm (c) 85 cm (d) 39 cm
- 26.A square has a perimeter of 48 cm. What is its area? (a) 144 sq cm (b) 169 sq cm (c) 48 sq cm (d) 24 sq cm
- 27.A rectangle has an area of 165 sq cm and a length of 15 cm. What is its width? (a) 150 cm (b) 11 cm (c) 12 cm (d) 22 cm
- 28.A rectangle has an area of 171 sq cm and a length of 19 cm. What is its width? (a) 152 cm (b) 10 cm (c) 18 cm (d) 9 cm
- 29.A rectangle has an area of 76 sq cm and a length of 19 cm. What is its width? (a) 5 cm (b) 4 cm (c) 57 cm (d) 8 cm
- 30.A rectangle has an area of 98 sq cm and a length of 14 cm. What is its width? (a) 7 cm (b) 8 cm (c) 84 cm (d) 14 cm
- 31.A rectangle has an area of 190 sq cm and a length of 19 cm. What is its width? (a) 20 cm (b) 171 cm (c) 11 cm (d) 10 cm
- 32.A rectangle is 11 cm long and 7 cm wide. What is its perimeter? (a) 77 cm (b) 36 cm (c) 29 cm (d) 18 cm
- 33.A rectangle is 19 cm long and 10 cm wide. What is its area? (a) 29 sq cm (b) 58 sq cm (c) 190 sq cm (d) 209 sq cm
- 34.A square has a perimeter of 40 cm. What is its area? (a) 100 sq cm (b) 40 sq cm (c) 121 sq cm (d) 20 sq cm
- 35.A rectangle is 9 cm long and 7 cm wide. What is its area? (a) 72 sq cm (b) 16 sq cm (c) 32 sq cm (d) 63 sq cm
- 36.A rectangle is 13 cm long and 8 cm wide. What is its area? (a) 104 sq cm (b) 21 sq cm (c) 42 sq cm (d) 117 sq cm
- 37.A rectangle has an area of 170 sq cm and a length of 17 cm. What is its width? (a) 153 cm (b) 11 cm (c) 20 cm (d) 10 cm
- 38.A rectangle has an area of 6 sq cm and a length of 3 cm. What is its width? (a) 4 cm (b) 3 cm (c) 1 cm (d) 2 cm
- 39.A rectangle has an area of 112 sq cm and a length of 14 cm. What is its width? (a) 8 cm (b) 9 cm (c) 16 cm (d) 98 cm
- 40.A rectangle is 15 cm long and 3 cm wide. What is its area? (a) 36 sq cm (b) 60 sq cm (c) 45 sq cm (d) 18 sq cm
Answer key
- 14 sq cm
- 11 cm
- 54 cm
- 22 sq cm
- 11 cm
- 44 cm
- 64 sq cm
- 22 cm
- 5 cm
- 2 cm
- 38 cm
- 46 cm
- 36 sq cm
- 225 sq cm
- 196 sq cm
- 12 cm
- 42 sq cm
- 25 sq cm
- 99 sq cm
- 7 cm
- 5 cm
- 24 cm
- 12 cm
- 12 cm
- 44 cm
- 144 sq cm
- 11 cm
- 9 cm
- 4 cm
- 7 cm
- 10 cm
- 36 cm
- 190 sq cm
- 100 sq cm
- 63 sq cm
- 104 sq cm
- 10 cm
- 2 cm
- 8 cm
- 45 sq cm
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