The length of a rectangle is twice its breadth. If its length is decreased by 5 cm and breadth is increased by 5 cm, the area of the rectangle is increased by 65 sq. cm. Find the length of the rectangle.  Choose the correct choice from the following:
A) 12cm
B) 14cm
C) 16cm
D) 18cm
E) 20cm
Explanation:   Let breadth = x. Then, length = 2x. Then,   (2x - 5) (x + 5) - 2x * x = 65 =&gt; 5x - 25 = 65 =&gt; x = 16.   Length of the rectangle = 16 cm.   Answer: Option 16cm
<result>C</result>
The length of a rectangle is twice its breadth. If its length is decreased by 5 cm and breadth is increased by 5 cm, the area of the rectangle is increased by 65 sq. cm. Find the length of the rectangle.