Question

The Perimeter Of A Rectanglular Garden Is 84 Feet . The Length Of The Garden Is Twice The Width . What Is The Width Of The Garden ?

Answer 1

`\bf \stackrel{\textit{perimeter of a rectangle}}{P=2L+2W\implies 2(L+W)}~~ \begin{cases} L=length\\ W=width\\ --------\\ P=84\\ L=\stackrel{\textit{twice the width}}{2W} \end{cases} \\\\\\ 84=2(L+W)\implies \cfrac{84}{2}=L+W\implies 42=L+W \\\\\\ 42=(2W)+W\implies 42=3W\implies \cfrac{42}{3}=W\implies 14=W`