Question

The length and breadth of a rectangle are directly proportional. If the length increases from $6cmto21cm$ and breadth now is $14cm$, then what was the breadth before any change in length occurred?

Answer 1

Length and breadth of a rectangle = Directly proportional

Length of the rectangle $\left(L1\right)=6cm$

Length of the rectangle $\left(L2\right)=21cm$

Breadth of the rectangle $=14cm$

Let the original breadth be =$x$

Thus,

$\frac{L1}{B1}=\frac{L2}{B2}$

Substituting the values –

$\Rightarrow \frac{6}{x}=\frac{21}{14}$

$\Rightarrow 21x=6\times 14$

$\Rightarrow 21x=84$

$\Rightarrow x=\frac{84}{21}$

$\Rightarrow x=4$

Therefore, the original breadth was $4cm$