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The length of rectangle is increased by 30% and the breadth is decreased by 25%. What is the percentage change in the area of the rectangle due to this?

  • a)
    2.5% increase

  • b)
    25% decrease

  • c)
    25% increase

  • d)
    2.5% decrease

Correct answer is option 'D'. Can you explain this answer?
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The length of rectangle is increased by 30% and the breadth is decreas...


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Most Upvoted Answer
The length of rectangle is increased by 30% and the breadth is decreas...
Let Length = 100, Breadth =100 Hence, Area = 10000
Now, Length =130, Breadth = 75 Hence, Area = 130 x 75 = 9750 
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The length of rectangle is increased by 30% and the breadth is decreas...
To find the percentage change in the area of the rectangle, we need to calculate the initial area and the final area after the changes in length and breadth have been made.

Let's assume the initial length of the rectangle is L and the initial breadth is B.

Initial area = L * B

After the length is increased by 30%, the new length is 1.3L.
After the breadth is decreased by 25%, the new breadth is 0.75B.

Final area = (1.3L) * (0.75B) = 0.975LB

To find the percentage change, we need to calculate the difference between the final and initial area and then express it as a percentage of the initial area.

Change in area = Final area - Initial area = 0.975LB - LB = -0.025LB

Percentage change = (Change in area / Initial area) * 100
= (-0.025LB / LB) * 100
= -2.5%

Hence, the percentage change in the area of the rectangle is a 2.5% decrease, which corresponds to option 'D'.
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The length of rectangle is increased by 30% and the breadth is decreased by 25%. What is the percentage change in the area of the rectangle due to this?a)2.5% increaseb)25% decreasec)25% increased)2.5% decreaseCorrect answer is option 'D'. Can you explain this answer?
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