Question

The percentage increase in the area of a rectangle, if each of its sides is increased by 20% is:
A.0.4
B.0.42
C.0.44
D.0.46

Answer 1

Answer:   C) 44%

Explanation:

Let original length = x metres and original breadth = y metres.

Original area = xy sq.m 

Increased length  = 120100120100 and Increased breadth = 120100120100 

 

New area = 120100x*120100y=3625xy m2120100x*120100y=3625xy m2 

 

The difference between the Original area  and New area  is:  

3625xy−xy3625xy-xy

 

1125xy1125xy Increase % =(1125xyxy/)*1001125xyxy*100= 44%

Answer 2

Answer:   C) 44%

Explanation:

Let original length = x metres and original breadth = y metres.

Original area = xy sq.m 

Increased length  = 120100120100 and Increased breadth = 120100120100 

 

New area = 120100x*120100y=3625xy m2120100x*120100y=3625xy m2 

 

The difference between the Original area  and New area  is:  

3625xy−xy3625xy-xy

 

1125xy1125xy Increase % = (1125xyxy/)*1001125xyxy*100= 44%