Question

How to find the breadth of a rectangle if length and perimeter are given.

Answer 1

Find the breadth of a rectangle:

$\mathrm{P}=2(\mathrm{l}+\mathrm{b})$

$\mathrm{P}=$Perimeter of the rectangle.

$\mathrm{l}=$length of the rectangle.

$\mathrm{b}=$breadth of the rectangle.

$$\begin{gathered} \Rightarrow 2(\mathrm{l}+\mathrm{b})=\mathrm{P} \\ \Rightarrow 2\mathrm{l}+2\mathrm{b}=\mathrm{P} \\ \Rightarrow 2\mathrm{b}=\mathrm{P}-2\mathrm{l} \\ \Rightarrow \mathrm{b}=\frac{\mathrm{P}-2\mathrm{l}}{2} \end{gathered}$$

Therefore, the breadth of the rectangle $=\frac{\mathrm{P}-2\mathrm{l}}{\mathrm{b}}$.