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If the length and breadth of a rectangle are doubled, how many times the perimeter of the old rectangle will that of the new rectangle be ?
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If the length and breadth of a rectangle are doubled, how many times t...
**Doubling the Length and Breadth of a Rectangle: Perimeter Comparison**

When the length and breadth of a rectangle are doubled, the resulting rectangle will have a different perimeter compared to the original rectangle. This can be explained mathematically by examining the relationship between the dimensions and perimeter of a rectangle.

**Understanding Perimeter**

The perimeter of a rectangle is the sum of all its side lengths. In a rectangle, opposite sides are equal in length, so we can simplify the perimeter calculation to:

Perimeter = 2 * (Length + Breadth)

**Original Rectangle**

Let's assume the original rectangle has a length of L and a breadth of B. Therefore, its perimeter can be calculated as:

Perimeter1 = 2 * (L + B)

**New Rectangle with Doubled Dimensions**

When the length and breadth of the rectangle are doubled, the new dimensions become 2L and 2B. The perimeter of the new rectangle can be calculated as:

Perimeter2 = 2 * (2L + 2B) = 4 * (L + B)

**Comparing Perimeters**

To determine the relationship between the perimeters of the two rectangles, we can compare the formulas:

Perimeter2 / Perimeter1 = (4 * (L + B)) / (2 * (L + B))

Since (L + B) appears in both the numerator and denominator, it cancels out:

Perimeter2 / Perimeter1 = 4 / 2 = 2

Therefore, the perimeter of the new rectangle will be twice the perimeter of the original rectangle.

**Conclusion**

When the length and breadth of a rectangle are doubled, the resulting rectangle will have a perimeter that is twice the perimeter of the original rectangle. This is due to the fact that the perimeter is directly proportional to the sum of the lengths of all sides, and doubling both the length and breadth effectively doubles this sum.
Community Answer
If the length and breadth of a rectangle are doubled, how many times t...
Divide the number of times with the permiterical and breadthical numbers
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If the length and breadth of a rectangle are doubled, how many times the perimeter of the old rectangle will that of the new rectangle be ?
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