Question

If the ratio of the length to the breath of a rectangle be 5 : 3 and perimeter is 144 m, find the length of the rectangle.

Answer 1

$$\begin{gathered} \mathrm{Let}\mathrm{the}\mathrm{length}\mathrm{is}5\mathrm{x}\mathrm{and}\mathrm{breadth}\mathrm{is}3\mathrm{x}. \\ \mathrm{Perimeter}=144\mathrm{m} \\ 2\left(\mathrm{l}+\mathrm{b}\right)=144 \\ 2\times \left(5\mathrm{x}+3\mathrm{x}\right)=144 \\ 2\times 8\mathrm{x}=144 \\ 16\mathrm{x}=144 \\ \mathrm{x}=9 \\ \mathrm{So}\mathrm{length}\mathrm{of}\mathrm{rectangle}=5\mathrm{x}=5\times 9=45\mathrm{m} \end{gathered}$$