In a rectangular shape the breath of the perimeter can be expressed as

1 answer

In the context of a rectangle, there seems to be some confusion in the phrasing of your question. If by "breath" you mean "breadth" (which is another word for width), and you're trying to relate it to the perimeter, we can indeed express the width given the length and perimeter of the rectangle.

The formula for the perimeter \( P \) of a rectangle can be expressed as:
\[ P = 2 \times ( \text{length} + \text{width} ) \]

Let's denote the length by \( L \) and the width (or breadth) by \( W \).

Rewriting the formula in terms of the width, we have:
\[ P = 2L + 2W \]

To solve for \( W \) (the width or breadth), rearrange the equation:
\[ 2W = P - 2L \]
\[ W = \frac{P - 2L}{2} \]

Thus, the breadth (or width) of the rectangle, in terms of its perimeter and length, can be expressed as:
\[ W = \frac{P - 2L}{2} \]

This expression allows you to calculate the width if you know the rectangle's perimeter and length.