The area of a square is 4096 sq cm Find the ratio of the breadth and the length of a rectangle whose......

The area of a square is 4096 sq cm. Find the ratio of the breadth and the length of a rectangle whose length is twice the side of the square and breadth is 24 cm less than the side of the square.

Let the length and the breadth of the rectangle be l cm and b cm respectively. Let the side of the square be a cm. 
a2 = 4096 = 212 
a = (212)1/2 = 26 = 64 
L = 2a and b = a - 24 
b : l = a - 24 : 2a = 40 : 128 = 5 : 16

By: MIRZA SADDAM HUSSAIN