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The length of a rectangle is halved, while its breadth is tripled. What is the percentage change in area?
- a)25% increase
- b)50% increase
- c)50% decrease
- d)75% decrease
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
The length of a rectangle is halved, while its breadth is tripled. Wha...
Let original length = x
and original breadth = y
Original area = xy.
New length = x/2
New breadth = 3y.
New area = (x/2 × 3y) = (3/2)xy
∴ Increase % = (1/2)xy × (1/xy) × 100%
= 50%
and original breadth = y
Original area = xy.
New length = x/2
New breadth = 3y.
New area = (x/2 × 3y) = (3/2)xy
∴ Increase % = (1/2)xy × (1/xy) × 100%
= 50%
Most Upvoted Answer
The length of a rectangle is halved, while its breadth is tripled. Wha...
Solution:
Let's assume the length and breadth of the rectangle be L and B respectively.
Given that the length of the rectangle is halved and its breadth is tripled.
Therefore, new length = L/2
And new breadth = 3B
The new area of the rectangle can be calculated as:
New Area = (L/2) * 3B
New Area = (3/2) LB
The percentage change in area can be calculated as:
Increase in area = New area - Old area
Increase in area = (3/2) LB - LB
Increase in area = (1/2) LB
Percentage increase in area = (Increase in area / Old area) * 100%
Percentage increase in area = [(1/2) LB / LB] * 100%
Percentage increase in area = 50%
Therefore, the percentage change in area is 50% increase. Option B is the correct answer.
Let's assume the length and breadth of the rectangle be L and B respectively.
Given that the length of the rectangle is halved and its breadth is tripled.
Therefore, new length = L/2
And new breadth = 3B
The new area of the rectangle can be calculated as:
New Area = (L/2) * 3B
New Area = (3/2) LB
The percentage change in area can be calculated as:
Increase in area = New area - Old area
Increase in area = (3/2) LB - LB
Increase in area = (1/2) LB
Percentage increase in area = (Increase in area / Old area) * 100%
Percentage increase in area = [(1/2) LB / LB] * 100%
Percentage increase in area = 50%
Therefore, the percentage change in area is 50% increase. Option B is the correct answer.
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The length of a rectangle is halved, while its breadth is tripled. What is the percentage change in area?a)25% increaseb)50% increasec)50% decreased)75% decreaseCorrect answer is option 'B'. Can you explain this answer?
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