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

Correct Answer: 50%

Explanation:

Let original length = x and original breadth = y.


Original area = xy. 


New length = x/2 and New breadth=3y 


New area =  3 2 x y  


Therefore,  Increase in area = New area-original area =  3 2 x y - x y = 1 2 x y  


 


Therefore,  Increase % =  i n c r e a s e   i n   a r e a   o r i g i n a l   a r e a * 100 = 1 2 x y x y * 100 = 50  %


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