Question

The ratio of length to the width of a sheet of paper is $4:3$ . If the length is $16cm$, find the width?

Answer 1

Let the width of the sheet of paper be $x$.

Then the ratio of length and width of the sheet of paper is $16:x$. It is given that the ratio of length and width is $4:3$

Then both the ratio must be equal.

Then-

$$\begin{gathered} \Rightarrow 4:3=16:x \\ \Rightarrow \frac{4}{3}=\frac{16}{x} \\ \Rightarrow 4x=16\times 3 \\ \Rightarrow 4x=48 \\ \Rightarrow x=\frac{48}{4} \\ \Rightarrow x=12 \end{gathered}$$

Hence, the width of the sheet of paper is $12cm$