Question

the sides of a rectangle are in the ratio of 2:3 and perimeter is 20 cm. find the sides

Answer 1

$$\begin{gathered} \mathrm{Let}\mathrm{the}\mathrm{length}=3\mathrm{x}\mathrm{cm} \\ \mathrm{then}\mathrm{breadth}=2\mathrm{x}\mathrm{cm} \\ \mathrm{perimeter}=20\mathrm{cm} \\ \Rightarrow 2\left[\mathrm{length}+\mathrm{braedth}\right]=20 \\ \Rightarrow 3\mathrm{x}+2\mathrm{x}=10 \\ \Rightarrow 5\mathrm{x}=10 \\ \Rightarrow \mathrm{x}=2 \\ \mathrm{So},\mathrm{length}=6\mathrm{cm} \\ \mathrm{breadth}=4\mathrm{cm} \end{gathered}$$