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

n ?

Mathematics

1 answer:

nalin [4]3 years ago

5 0

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

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