Mathematics - Application of Derivative Question with Solution | TestHub

Let one side of quadrilateral be $x$ and another side be $y$ so, $2(x+y)=34$ or, $(x+y)=\mathrm{17......}(i)$ We know from the basic principle that for a given perimeter square has the maximum area, so, $x=y$ and putting this value in equation (i) $$\begin{array}{l}\mathrm{x}=\mathrm{y}=\frac{17}{2}\\ \text{ Area }=\mathrm{x}\cdot \mathrm{y}=\frac{17}{2}\times \frac{17}{2}=\frac{289}{4}=72.25\end{array}$$