Question

Question no. 7

7. The length and the breadth of a rectangular school playground are in the ratio 7 : 5. If the length of the playground is 112 m, what is its perimeter ?

Answer 1

$$\begin{gathered} \mathrm{Let}\mathrm{the}\mathrm{length}\mathrm{and}\mathrm{the}\mathrm{breadth}\mathrm{of}\mathrm{the}\mathrm{playground}\mathrm{be}7\mathrm{x}\mathrm{m}\mathrm{and}5\mathrm{x}\mathrm{m}. \\ \mathrm{Now},\mathrm{length}\mathrm{of}\mathrm{the}\mathrm{playground}=112\mathrm{m} \\ \Rightarrow 7\mathrm{x}=112 \\ \Rightarrow \mathrm{x}=\frac{112}{7}=16 \\ \mathrm{So},\mathrm{breadth}\mathrm{of}\mathrm{the}\mathrm{rectangle}=5\mathrm{x}=5\times 16=80\mathrm{m} \\ \mathrm{Perimeter}=2\left[\mathrm{length}+\mathrm{breadth}\right]=2\left[112+80\right]=2\times 192=384\mathrm{m} \end{gathered}$$