document.write( "Question 26320: Find the dimensions of a rectangle whose perimeter is 46m ans whose area is 126 m^2. (Hint: Let the width be w. Use the perimeter to find the length in terms of w.) \n" ); document.write( "
Algebra.Com's Answer #14191 by stanbon(75887)\"\" \"About 
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Perimeter=2l+2w=46
\n" ); document.write( "Divide by 2 to get l+w=23
\n" ); document.write( "Also, Area=lw=126
\n" ); document.write( "Use substitution to solve:
\n" ); document.write( "l=23-w
\n" ); document.write( "Sustitute to get: (23-w)(w)=126
\n" ); document.write( "w^2-23w+126=0
\n" ); document.write( "(w-9)(w-14)=0
\n" ); document.write( "w=9 or w=14
\n" ); document.write( "If w=9, then l=23-9=14
\n" ); document.write( "If w=14, then l=23-14=9
\n" ); document.write( "So, the dimentions are 9 and 14.\r
\n" ); document.write( "\n" ); document.write( "Cheers
\n" ); document.write( "Stan H.
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