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A worksheet has a area of 54 square inches and a perimeter of 30 inches what are the dimensions of the figure

 Mar 26, 2015

Best Answer 

 #1
avatar+118613 
+5

A worksheet has a area of 54 square inches and a perimeter of 30 inches what are the dimensions of the figure

 

xy=54                       y=54/x

2(x+y)=30                x+y=15

 

$$\\x+\frac{54}{x}=15\\
x^2+54=15x\\
x^2-15x+54=0\\$$

 

$${{\mathtt{x}}}^{{\mathtt{2}}}{\mathtt{\,-\,}}{\mathtt{15}}{\mathtt{\,\times\,}}{\mathtt{x}}{\mathtt{\,\small\textbf+\,}}{\mathtt{54}} = {\mathtt{0}} \Rightarrow \left\{ \begin{array}{l}{\mathtt{x}} = {\mathtt{6}}\\
{\mathtt{x}} = {\mathtt{9}}\\
\end{array} \right\}$$

 Mar 27, 2015
 #1
avatar+118613 
+5
Best Answer

A worksheet has a area of 54 square inches and a perimeter of 30 inches what are the dimensions of the figure

 

xy=54                       y=54/x

2(x+y)=30                x+y=15

 

$$\\x+\frac{54}{x}=15\\
x^2+54=15x\\
x^2-15x+54=0\\$$

 

$${{\mathtt{x}}}^{{\mathtt{2}}}{\mathtt{\,-\,}}{\mathtt{15}}{\mathtt{\,\times\,}}{\mathtt{x}}{\mathtt{\,\small\textbf+\,}}{\mathtt{54}} = {\mathtt{0}} \Rightarrow \left\{ \begin{array}{l}{\mathtt{x}} = {\mathtt{6}}\\
{\mathtt{x}} = {\mathtt{9}}\\
\end{array} \right\}$$

Melody Mar 27, 2015

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