Question

The length of a rectangular plot is 3 folds its width. Half the area of the plot is covered by a playground whose area is 363 square meter. What is the length of the plot?​

Answer 1

Given,

Area of half of the playground $\[ = 363{m^2}\]$

Solution,

Consider the length is 3x and width is x of the rectangular plot.

$\[\begin{array}{l}\frac{{3{x^2}}}{2} = 363\\ \Rightarrow {x^2} = 242\\ \Rightarrow x = 15.55m\end{array}\]$

Length of plot,

$\[\begin{array}{l} = 3x\\ = 3 \times 15.55m\\ = 46.66m\end{array}\]$

Hence the length of the rectangular plot is $\[46.66m\]$.