document.write( "Question 332210: I have a space that is 9 ft long and 6 ft wide. I want to increase the dimensions of the space by the same distance each way and have the area of the new space 5 times the area of the present space. How many ft should I add to both the width and the length? Thanks \n" ); document.write( "

Algebra.Com's Answer #238097 by mananth(16949) $\"\"$ $\"About$

You can put this solution on YOUR website!
length = 9 ft
\n" ); document.write( "width = 6 ft.
\n" ); document.write( "..
\n" ); document.write( "area = 9*6 = 54sq.ft
\n" ); document.write( "..
\n" ); document.write( "increase length & width by same amount = x
\n" ); document.write( "length = (x+9)
\n" ); document.write( "width = (x+6)
\n" ); document.write( "new area = (x+6)(x+9)
\n" ); document.write( "new area = 5 * present area
\n" ); document.write( "(x+6)(x+9)=5*54
\n" ); document.write( "x^2+15x+54=5*54
\n" ); document.write( "x^2+15x+54-270=0
\n" ); document.write( "x^2+15x-216=0
\n" ); document.write( "x^2+24x-9x-216=0
\n" ); document.write( "x(x+24)-9(x+24)=0
\n" ); document.write( "(x+24)(x-9)=0
\n" ); document.write( "x=9 feet has to be added to length & width
\n" ); document.write( "the new dimensions will be 18 by 15 feet.\r
\n" ); document.write( "\n" ); document.write( "CHECK
\n" ); document.write( "18*15= 5*54
\n" ); document.write( "270=270 \n" ); document.write( "

\n" );