Question

The length of a rectangular plot of area $65\frac{1}{3}{\mathrm{m}}^2\mathrm{is}12\frac{1}{4}\mathrm{m}$. What is the width of the plot?

Answer 1

Area of rectangle = Length of rectangle $\times$ Width of rectangle
$$\begin{gathered} 65\frac{1}{3}=12\frac{1}{4}\times \mathrm{Width}\mathrm{of}\mathrm{the}\mathrm{rectangle} \\ \frac{(65\times 3)+1}{3}=\left[\frac{(12\times 4)+1}{4}\right]\times \mathrm{Width}\mathrm{of}\mathrm{the}\mathrm{rectangle} \\ \frac{196}{3}=\frac{49}{4}\times \mathrm{Width}\mathrm{of}\mathrm{the}\mathrm{rectangle} \\ \mathrm{Width}\mathrm{of}\mathrm{the}\mathrm{rectangle}=\frac{\cancel{{196}^4}}{3}\times \frac{4}{\cancel{49}}=\frac{16}{3}\mathrm{m} \end{gathered}$$