document.write( "Question 339032: A rectangular counter top is 16 inches longer than it is wide. If the area of the counter top is 420 square inches, find the length and and the width. \n" ); document.write( "
Algebra.Com's Answer #243023 by mananth(16946)\"\" \"About 
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let width be x
\n" ); document.write( "length = x+16 inches
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\n" ); document.write( "Area of rectangle A = L*W
\n" ); document.write( "420 = x(x+16)
\n" ); document.write( "420 = x^2 16x
\n" ); document.write( "x^2+16x -420 =0
\n" ); document.write( "x^2+30x-14x-420=0
\n" ); document.write( "x(x+30)-14(x+30)=0
\n" ); document.write( "(x+30)(x-14)=0
\n" ); document.write( "x= 14 inches the width.
\n" ); document.write( "The length = x+16
\n" ); document.write( "= 14+16=30 inches.
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