The percentage increase in the area of a rectangle, if each of its sides is increased by 20%

• A. 33%
• B. 22%
• C. 55%
• D. 44%

Answer: (D)

Let original length = x metres and original breadth = y metres. Original area = xy sq.m  Increased length  =  120 100  and Increased breadth =  120 100     New area =  120 100 x * 120 100 y = 36 25 x y   m 2     The difference between the Original area  and New area  is:   36 25 x y - x y   11 25 x y  Increase % = 11 25 x y x y * 100 = 44%