The length of a rectangle is halved, while its breadth is tripled. What is the percentage change in area?

A 50% increase
B 25% increase
C 50% decrease
D 75% decrease

Correct Answer: 50% increase

Let, the lenght of rectangle = x and breadth = y Area = xy ATQ, length = x2Breath  = 3y Area  = x2×3y = 32xyChange in area  =  32xy  - xy = (32 - 1)xy = (3 - 22) xy  = 12xy = 0.5xy in xy increased  =  0.5 xy " 1  "  = 0.5xyxy" 100 "  = 0.5xy ×100xyThe percentage change in  area  =  50% 
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