The perimeter of a square is double that of rectangle. If the perimeter of the square is 120 meter, and length and breadth of the rectangle are in ratio 3:2, find the breadth of the rectangle.
Let the length of rectangle(l) = 3x m
Breadth of rectangle(b) = 2x m
Now Perimeter of square = 2 × Perimeter of rectangle
⇒ 120 = 2 × 2(l + b)
⇒ 120 = 4(3x + 2x)
⇒ 30 = 5x
⇒ x = 6 m
∴ Length of rectangle = 3x = 3(6) = 18 m
Breadth of rectangle = 2x = 2(6) 12 m