Question

The length of a rectangle is twice its breadth and its perimeter is 96 m. The length of the rectangle is

(a) 28 m
(b) 30 m
(c) 32 m
(d) 36 m

Answer 1

$$\begin{gathered} \left(\mathrm{c}\right)32\mathrm{m} \\ \begin{array}{l}\text{Let the length and breadth of the rectangle be l m and b m, respectively.}\\ \mathrm{According}\mathrm{to}\mathrm{the}\mathrm{question},\mathrm{we}\mathrm{have}:\\ \mathit{\text{l}}=\text{2}\mathit{\text{b ...}}\left(\text{i}\right)\\ \text{2}(\mathit{\text{l}}+\mathit{\text{b}})=\text{96 ...}\left(\text{ii}\right)\\ \text{Now, 2}(\text{2}\mathit{\text{b}}+\mathit{\text{b}})=\text{96}\\ \Rightarrow \text{6}\mathit{\text{b}}=96\\ \Rightarrow \mathit{\text{b}}=16\\ \therefore \text{Length}=16\times 2\mathrm{m}=32\text{m}\\ \end{array} \end{gathered}$$