Question

The length of a rectangle is three times its width and its perimeter is 96 m. The length is

(a) 12 m
(b) 24 m
(c) 36 m
(d) 48 m

Answer 1

$\begin{array}{l}\left(\text{c}\right)32\mathrm{m}\\ \text{Let the width of the rectangle be}x.\mathrm{Then},\mathrm{its}\mathrm{length}\mathrm{will}\mathrm{be}3x.\\ \\ \text{Perimeter of the rectangle}=96\text{m}\\ \text{Now, 2}(\mathit{\text{l}}+\mathit{\text{b}})=96\\ \Rightarrow 2(3x+x)=96\\ \Rightarrow 2\times 4x=96\\ \Rightarrow 8x=96\\ \Rightarrow x=\frac{\sout{9}{\sout{6}}^{12}}{{\sout{8}}_1}\\ \Rightarrow x=12\\ \therefore \text{Length of the rectangle = 3}\times \text{12 m}=\text{36 m}\end{array}$