document.write( "Question 1138281: In order to double the carpeted area in an office lobby,a decorator adds a strip of carpet on all 4 sides of a 4yd. by 6 yd. rectangle that is now carpeted.
\n" ); document.write( " How wide is the strip? \n" ); document.write( "

Algebra.Com's Answer #756110 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+x+\"$ = the widths of the added strips
\n" ); document.write( " $\"+2x+\"$ = the width that is added to the sides
\n" ); document.write( "convert yards to feet
\n" ); document.write( " $\"+12+%2B+2x+%29%2A%28+18+%2B+2x+%29+=+2%2A12%2A18+\"$
\n" ); document.write( " $\"+216+%2B+36x+%2B+24x+%2B+4x%5E2+=+432+\"$
\n" ); document.write( " $\"+4x%5E2+%2B+60x+-+216+=+0+\"$
\n" ); document.write( " $\"+x%5E2+%2B+15x+-+54+=+0+\"$
\n" ); document.write( "Use quadratic formula
\n" ); document.write( " $\"+x+=+%28-15+%2B-+sqrt%28+15%5E2-4%2A1%2A%28-54%29+%29%29%2F%282%2A1%29+\"$
\n" ); document.write( " $\"+x+=+%28-15+%2B-+sqrt%28+225+%2B+216+%29%29%2F2+\"$
\n" ); document.write( " $\"+x+=+%28+-15+%2B+sqrt%28+441+%29+%29%2F2+\"$
\n" ); document.write( " $\"+x+=+%28+-15+%2B+21+%29%2F2+\"$
\n" ); document.write( " $\"+x+=+3+\"$ ft
\n" ); document.write( "This is 1 yd so the strip is 1 yd wide.
\n" ); document.write( "I converted to feet thinking there might
\n" ); document.write( "be fractions of a yd in answer
\n" ); document.write( "--------------------------------------------
\n" ); document.write( "check:
\n" ); document.write( " $\"+%28+12+%2B+2x+%29%2A%28+18+%2B+2x+%29+=+432+\"$
\n" ); document.write( " $\"+%28+12+%2B+2%2A3+%29%2A%28+18+%2B+2%2A3+%29+=+432+\"$
\n" ); document.write( " $\"+18%2A24+=+432+\"$
\n" ); document.write( " $\"+432+=+432+\"$
\n" ); document.write( "OK
\n" ); document.write( " \n" ); document.write( "

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