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Dmitriy789 [7]
3 years ago
9

A rectangle has twice the area of a square. the rectangle is 18 inch by 4 inch . what is the perimeter of the square

Mathematics
2 answers:
Westkost [7]3 years ago
8 0
Rectangle:

A = BH
   = (18)(4)
   = 72

Finding area of square:

72 = 2x
/2     /2
36 = x

Finding perimeter of square using area:

P = √a * 4
   = √36 * 4
   = 6 * 4
   = 24

Therefore the perimeter of the square is 24 inches. I am not sure so sorry for any mistakes.
OverLord2011 [107]3 years ago
4 0
\bf 
\textit{area of a rectangle}\\\\
A_r=lw\quad 
\begin{cases}
l=length\\
w=width\\
-----\\
l=18\\
w=4
\end{cases}\implies A_r=18\cdot 4\implies A_r=72\\\\
-------------------------------\\\\

\bf \textit{area of a square}\\\\
A_s=lw\quad 
\textit{area of a rectangle}\\\\
A_r=lw\quad 
\begin{cases}
l=length\\
w=width\\
l=w=x
\end{cases}\implies A_s=x\cdot x\implies A_s=x^2\\\\
-------------------------------\\\\
A_r=2\cdot  A_s\implies  72=2x^2\implies\cfrac{72}{2}=x^2\implies 36=x^2
\\\\\\
\sqrt{36}=x\implies \boxed{6=x}

the square has 4 sides, thus its perimeter is 6+6+6+6.
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