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 has an area of 8 sq cm and a length of 4 cm. What is its width? (a) 3 cm (b) 4 cm (c) 2 cm (d) 1 cm
- 2.A rectangle is 14 cm long and 7 cm wide. What is its area? (a) 42 sq cm (b) 21 sq cm (c) 98 sq cm (d) 112 sq cm
- 3.A rectangle has an area of 35 sq cm and a length of 7 cm. What is its width? (a) 6 cm (b) 28 cm (c) 5 cm (d) 10 cm
- 4.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 49 sq cm (b) 13 sq cm (c) 26 sq cm (d) 42 sq cm
- 5.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 12 sq cm (c) 36 sq cm (d) 24 sq cm
- 6.A rectangle is 13 cm long and 3 cm wide. What is its perimeter? (a) 16 cm (b) 29 cm (c) 39 cm (d) 32 cm
- 7.A square has a perimeter of 32 cm. What is its area? (a) 64 sq cm (b) 81 sq cm (c) 16 sq cm (d) 32 sq cm
- 8.A rectangle is 10 cm long and 8 cm wide. What is its perimeter? (a) 28 cm (b) 80 cm (c) 18 cm (d) 36 cm
- 9.A rectangle is 13 cm long and 10 cm wide. What is its perimeter? (a) 23 cm (b) 46 cm (c) 130 cm (d) 36 cm
- 10.A rectangle has an area of 126 sq cm and a length of 18 cm. What is its width? (a) 14 cm (b) 108 cm (c) 8 cm (d) 7 cm
- 11.A rectangle is 13 cm long and 2 cm wide. What is its perimeter? (a) 15 cm (b) 30 cm (c) 28 cm (d) 26 cm
- 12.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 100 sq cm (c) 121 sq cm (d) 20 sq cm
- 13.A rectangle is 16 cm long and 4 cm wide. What is its area? (a) 40 sq cm (b) 20 sq cm (c) 80 sq cm (d) 64 sq cm
- 14.A rectangle has an area of 24 sq cm and a length of 8 cm. What is its width? (a) 16 cm (b) 3 cm (c) 6 cm (d) 4 cm
- 15.A square has a perimeter of 44 cm. What is its area? (a) 121 sq cm (b) 144 sq cm (c) 44 sq cm (d) 22 sq cm
- 16.A rectangle is 19 cm long and 9 cm wide. What is its area? (a) 28 sq cm (b) 56 sq cm (c) 190 sq cm (d) 171 sq cm
- 17.A rectangle is 11 cm long and 9 cm wide. What is its perimeter? (a) 40 cm (b) 20 cm (c) 99 cm (d) 31 cm
- 18.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 14 cm (b) 12 cm (c) 16 cm (d) 8 cm
- 19.A rectangle is 11 cm long and 2 cm wide. What is its area? (a) 33 sq cm (b) 22 sq cm (c) 26 sq cm (d) 13 sq cm
- 20.A rectangle is 20 cm long and 5 cm wide. What is its area? (a) 50 sq cm (b) 25 sq cm (c) 120 sq cm (d) 100 sq cm
- 21.A rectangle is 13 cm long and 11 cm wide. What is its area? (a) 48 sq cm (b) 24 sq cm (c) 156 sq cm (d) 143 sq cm
- 22.A rectangle has an area of 55 sq cm and a length of 11 cm. What is its width? (a) 10 cm (b) 6 cm (c) 5 cm (d) 44 cm
- 23.A rectangle has an area of 50 sq cm and a length of 10 cm. What is its width? (a) 40 cm (b) 10 cm (c) 5 cm (d) 6 cm
- 24.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
- 25.A rectangle is 10 cm long and 5 cm wide. What is its perimeter? (a) 25 cm (b) 30 cm (c) 15 cm (d) 50 cm
- 26.A rectangle is 11 cm long and 2 cm wide. What is its perimeter? (a) 13 cm (b) 26 cm (c) 22 cm (d) 24 cm
- 27.A rectangle is 19 cm long and 12 cm wide. What is its perimeter? (a) 31 cm (b) 62 cm (c) 228 cm (d) 50 cm
- 28.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 56 sq cm (c) 196 sq cm (d) 28 sq cm
- 29.A rectangle is 9 cm long and 8 cm wide. What is its area? (a) 17 sq cm (b) 81 sq cm (c) 72 sq cm (d) 34 sq cm
- 30.A rectangle has an area of 150 sq cm and a length of 15 cm. What is its width? (a) 135 cm (b) 11 cm (c) 20 cm (d) 10 cm
- 31.A rectangle has an area of 104 sq cm and a length of 13 cm. What is its width? (a) 8 cm (b) 91 cm (c) 9 cm (d) 16 cm
- 32.A rectangle has an area of 22 sq cm and a length of 11 cm. What is its width? (a) 2 cm (b) 4 cm (c) 11 cm (d) 3 cm
- 33.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 28 sq cm (c) 49 sq cm (d) 64 sq cm
- 34.A square has a perimeter of 52 cm. What is its area? (a) 169 sq cm (b) 52 sq cm (c) 196 sq cm (d) 26 sq cm
- 35.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 30 sq cm (c) 60 sq cm (d) 225 sq cm
- 36.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
- 37.A rectangle is 15 cm long and 12 cm wide. What is its perimeter? (a) 54 cm (b) 27 cm (c) 180 cm (d) 42 cm
- 38.A rectangle has an area of 140 sq cm and a length of 20 cm. What is its width? (a) 7 cm (b) 14 cm (c) 8 cm (d) 120 cm
- 39.A rectangle is 12 cm long and 4 cm wide. What is its perimeter? (a) 28 cm (b) 32 cm (c) 48 cm (d) 16 cm
- 40.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 24 sq cm (c) 169 sq cm (d) 144 sq cm
Answer key
- 2 cm
- 98 sq cm
- 5 cm
- 42 sq cm
- 36 sq cm
- 32 cm
- 64 sq cm
- 36 cm
- 46 cm
- 7 cm
- 30 cm
- 100 sq cm
- 64 sq cm
- 3 cm
- 121 sq cm
- 171 sq cm
- 40 cm
- 16 cm
- 22 sq cm
- 100 sq cm
- 143 sq cm
- 5 cm
- 5 cm
- 10 cm
- 30 cm
- 26 cm
- 62 cm
- 196 sq cm
- 72 sq cm
- 10 cm
- 8 cm
- 2 cm
- 49 sq cm
- 169 sq cm
- 225 sq cm
- 4 cm
- 54 cm
- 7 cm
- 32 cm
- 144 sq cm
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