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If both the length and the breadth of a rectangle increased by 15% by what percent does the area of the rectangle increase?
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Most Upvoted Answer
If both the length and the breadth of a rectangle increased by 15% by ...
Increase in Length and Breadth:
Let's assume the original length of the rectangle is L and the original breadth is B. After increasing both by 15%, the new length will be 1.15L and the new breadth will be 1.15B.

Calculating the Area:
The area of a rectangle is given by the formula A = length × breadth. Therefore, the original area is A = L × B, and the new area is A' = (1.15L) × (1.15B).

Calculating the Percentage Increase:
To find the percentage increase in the area, we need to calculate the difference between the new area and the original area, and then express it as a percentage of the original area.

The difference between the new area and the original area is given by:
Difference = A' - A = (1.15L) × (1.15B) - L × B

To express the difference as a percentage of the original area, we divide the difference by the original area and multiply by 100:
Percentage Increase = (Difference / A) × 100

Simplifying the Expression:
Let's substitute the values of A' and A into the expression for the difference:
Difference = (1.15L) × (1.15B) - L × B
Difference = 1.3225LB - LB
Difference = 0.3225LB

Now, let's substitute the value of the difference into the expression for the percentage increase:
Percentage Increase = (0.3225LB / A) × 100

Since A = LB, we can simplify further:
Percentage Increase = (0.3225LB / LB) × 100
Percentage Increase = 0.3225 × 100
Percentage Increase = 32.25%

Conclusion:
Therefore, the area of the rectangle increases by 32.25% when both the length and the breadth are increased by 15%.
Community Answer
If both the length and the breadth of a rectangle increased by 15% by ...
(1.15L)*(1.15B)=1.17lb
it means 17 % increase
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Each question is followed by two statements, A and B. Answer each question using the following instructions:Mark option (1) if the question can be answered by using statement A alone but not by using statement B alone.Mark option (2) if the question can be answered by using statement B alone but not by using statement A alone.Mark option (3) if the question can be answered by using either statement alone.Mark option (4) if the question can be answered by using both the statements together but not by either of the statements alone.Mark option (5) if the question cannot be answered on the basis of the two statements.Q. If the breadth of a rectangle is increased by 2 units and the length is decreased by 3 units, the area is unchanged. What is the area of the rectangle?A. If the breadth is decreased by 1 unit and the length is increased by 3 units, the area remains the same.B. If the breadth is increased by 1 unit and the length is increased by 2 units, the area gets doubled.

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If both the length and the breadth of a rectangle increased by 15% by what percent does the area of the rectangle increase?
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