The length of a rectangle is doubled while its breadth is halved. what is the percentage change in the area. ?
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1Q:
The length of a rectangle is halved, while its breadth is tripled. What is the percentage change in area?
A) 20%
B) 30%
C) 40%
D) 50%
Answer: D) 50%
Explanation:
Let original length = x and original breadth = y.
Original area = xy.
New length = x/2 and New breadth=3y
New area = 32xy
Therefore, Increase in area = New area-original area = 32xy−xy=12xy
Therefore, Increase % = increase in area original area*100=(12xyxy/)*100=50 %
The length of a rectangle is halved, while its breadth is tripled. What is the percentage change in area?
A) 20%
B) 30%
C) 40%
D) 50%
Answer: D) 50%
Explanation:
Let original length = x and original breadth = y.
Original area = xy.
New length = x/2 and New breadth=3y
New area = 32xy
Therefore, Increase in area = New area-original area = 32xy−xy=12xy
Therefore, Increase % = increase in area original area*100=(12xyxy/)*100=50 %
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