document.write( "Question 31402: I know the formula for a rectangle P=2L+2W and A=LH, but what if the
\n" ); document.write( "area and P are given? here is my question.
\n" ); document.write( "Is it possible to have a rectangle with an area of 24 square meters and a
\n" ); document.write( "perimeter of 96 meters? Give proof.
\n" ); document.write( "How do I use the formulas for this problem? Help.
\n" ); document.write( "Zack \n" ); document.write( "

Algebra.Com's Answer #18105 by Paul(988) $\"\"$ $\"About$

You can put this solution on YOUR website!
To see if this happens, lew x be the length and let y be the width:
\n" ); document.write( "2(x+y)=96
\n" ); document.write( "y=48-x (subsitution:)
\n" ); document.write( "AreA:
\n" ); document.write( "xy=24
\n" ); document.write( "Subsitute for y:
\n" ); document.write( "x(48-x)=24
\n" ); document.write( "48x-x^2=24
\n" ); document.write( "-x^2+48x-24=0
\n" ); document.write( "x^2-48x+24=0
\n" ); document.write( "Use the 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( " $\"x+=+%2848+%2B-+sqrt%28+%28-48%29%5E2-4%2A1%2A24+%29%29%2F%282%2A1%29+\"$ --> REMOVE NEGATIVE SIGN
\n" ); document.write( " $\"x+=+%2848+%2B+sqrt%28+2304-96+%29%29%2F%282%29+\"$
\n" ); document.write( " $\"x+=+%2848+%2B+sqrt%28+2208+%29%29%2F%282%29+\"$
\n" ); document.write( "x=47
\n" ); document.write( "y=1\r
\n" ); document.write( "\n" ); document.write( "47*1=47
\n" ); document.write( "So it is not possible.
\n" ); document.write( "Paul. \n" ); document.write( "

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