document.write( "Question 664238: the length of a rectangular garden is 6m greater than the width. the area is 72m^2. find the dimensions of the garden \n" ); document.write( "

Algebra.Com's Answer #413194 by mananth(16946) $\"\"$ $\"About$

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let width be x m
\n" ); document.write( "length = x+6 m\r
\n" ); document.write( "\n" ); document.write( "area = L* W\r
\n" ); document.write( "\n" ); document.write( "x(x+6) = 72\r
\n" ); document.write( "\n" ); document.write( " $\"x%5E2%2B6x=72\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x%5E2%2B6x-72=0\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x%5E2%2B12x-6x-72=0\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x%28x%2B12%29-6%28x%2B12%29=0\"$ \r
\n" ); document.write( "\n" ); document.write( "(x+12)(x-6)=0\r
\n" ); document.write( "\n" ); document.write( "so x= -12 OR 6\r
\n" ); document.write( "\n" ); document.write( "Width cannot be negative\r
\n" ); document.write( "\n" ); document.write( "There fore width = 6 m\r
\n" ); document.write( "\n" ); document.write( "length = x+6 -------> 6+6=12m \n" ); document.write( "

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