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The breadth of a rectangle is increased by 2 units. Its perimeter is now increased by?
  • a)
    2 units
  • b)
    4 units
  • c)
    8 units
  • d)
    16 units
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The breadth of a rectangle is increased by 2 units. Its perimeter is n...
We are given the following in the question:
The breadth of a rectangle is increased by 2 units.
Let l be the original length and b be the original breadth.
New breadth = b + 2
The perimeter of rectangle =
The perimeter of new rectangle =
Hence, the perimeter of rectangle increases by 4 units. 
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Most Upvoted Answer
The breadth of a rectangle is increased by 2 units. Its perimeter is n...
Question Analysis:
We are given a rectangle and asked to find the increase in its perimeter when its breadth is increased by 2 units. We need to determine the change in the perimeter of the rectangle.

Given:
- Initial breadth of the rectangle
- Increase in breadth by 2 units

To Find:
- Increase in the perimeter of the rectangle

Solution:
Let's assume the initial breadth of the rectangle is "b" units and the length is "l" units.

Initial Perimeter:
The perimeter of a rectangle is given by the formula: P = 2(l + b)
So, the initial perimeter of the rectangle is: P1 = 2(l + b)

Perimeter after increasing the breadth:
When the breadth of the rectangle is increased by 2 units, the new breadth becomes (b + 2) units.
The length remains the same.

The new perimeter after increasing the breadth can be calculated as:
P2 = 2(l + (b + 2)) = 2l + 2b + 4

Change in Perimeter:
The change in perimeter can be found by subtracting the initial perimeter from the new perimeter:
Change in perimeter = P2 - P1 = (2l + 2b + 4) - (2l + b)
Simplifying, we get:
Change in perimeter = 2b + 4 - b = b + 4

Conclusion:
The increase in the perimeter of the rectangle when its breadth is increased by 2 units is (b + 4) units.
Therefore, the correct answer is option B) 4 units.
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The breadth of a rectangle is increased by 2 units. Its perimeter is now increased by?a)2 unitsb)4 unitsc)8 unitsd)16 unitsCorrect answer is option 'B'. Can you explain this answer?
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