document.write( "Question 257193: A rectangle has dimensions of (x + 2) and (3x + 3). Determine the exact value of
\n" ); document.write( "x so that the perimeter and area of the rectangle will have the same numerical
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Algebra.Com's Answer #189176 by ptaylor(2198) $\"\"$ $\"About$

You can put this solution on YOUR website!
Perimeter of rectangle=2L+2W (L=Length, W=Width)=2(x+2)+2(3x+3)
\n" ); document.write( "Area of rectangle=L*W=(x+2)(3x+3)
\n" ); document.write( "So our equation to solve is:
\n" ); document.write( "(x+2)(3x+3)=2(x+2)+2(3x+3) get rid of parens
\n" ); document.write( "3x^2+3x+6x+6=2x+4+6x+6 simplify some
\n" ); document.write( "3x^2+9x+6=8x+10 subtract 8x and also 10 from each side
\n" ); document.write( "3x^2+9x+6-8x-10=8x+10-8x-10 collect like terms
\n" ); document.write( "3x^2+x-4=0 quadatic in standard for; solve using quadratic formula
\n" ); document.write( " $\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"$
\n" ); document.write( " $\"x+=+%28-1+%2B-+sqrt%28+1%5E2%2B4%2A3%2A4+%29%29%2F%282%2A3%29+\"$
\n" ); document.write( " $\"x+=+%28-1+%2B-+sqrt%28+49+%29%29%2F%286%29+\"$
\n" ); document.write( " $\"x+=+%28-1+%2B-+7+%29%2F%286%29+\"$
\n" ); document.write( "x=(-1+7)/6=1-------------------------------ans
\n" ); document.write( "and
\n" ); document.write( "x=(-1-7)/6=-8/6------disregard, x cannot be negative \r
\n" ); document.write( "\n" ); document.write( "CK
\n" ); document.write( "Width=x+2=1+2=3
\n" ); document.write( "Length=3x+3=3+3=6
\n" ); document.write( "Perimeter=2*3+2*6=18
\n" ); document.write( "Area=3*6=18\r
\n" ); document.write( "\n" ); document.write( "Hope this helps--ptaylor \n" ); document.write( "

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