document.write( "Question 199928: The length of a rectangle is 5 cm more than the width. The area of the rectangle is 36 square cm. What is the length? \n" ); document.write( "

Algebra.Com's Answer #150294 by nerdybill(7384) $\"\"$ $\"About$

You can put this solution on YOUR website!
The length of a rectangle is 5 cm more than the width. The area of the rectangle is 36 square cm. What is the length?
\n" ); document.write( ".
\n" ); document.write( "Let w = width
\n" ); document.write( "then
\n" ); document.write( "w+5 = length
\n" ); document.write( ".
\n" ); document.write( "w(w+5) = 36
\n" ); document.write( "w^2+5w = 36
\n" ); document.write( "w^2+5w-36 = 0
\n" ); document.write( "(w+9)(w-4)=0
\n" ); document.write( "w = {-9, 4}
\n" ); document.write( "Tossing out the negative solution we are left with:
\n" ); document.write( "w = 4 cm
\n" ); document.write( ".
\n" ); document.write( "length:
\n" ); document.write( ".
\n" ); document.write( "Length then, is
\n" ); document.write( "w+4 = 4+4 = 8 cm
\n" ); document.write( ".
\n" ); document.write( " \n" ); document.write( "

\n" );