document.write( "Question 134544: a rectangular room has an area of 189 square feet and a perimeter of 55 feet. what are the dimensions of the room? Find exact solution. \n" ); document.write( "

Algebra.Com's Answer #98420 by vleith(2983) $\"\"$ $\"About$

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Formula for Area of a rectangle? A = l*w
\n" ); document.write( "Formula for perimeter of a rectangle? P = 2l + 2w\r
\n" ); document.write( "\n" ); document.write( "Given A = 189, P = 55\r
\n" ); document.write( "\n" ); document.write( " $\"189+=+l%2Aw\"$
\n" ); document.write( " $\"55+=+2l+%2B+2w\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"189%2Fw+=+l+\"$
\n" ); document.write( " $\"55+=+2%28189%2Fw%29+%2B+2w+\"$
\n" ); document.write( " $\"55+=+378%2Fw+%2B+2w+\"$
\n" ); document.write( " $\"55w+=+378+%2B+2w%5E2\"$
\n" ); document.write( " $\"0+=+2w%5E2+-+55w+%2B+378\"$ \r
\n" ); document.write( "\n" ); document.write( "Use the quadratic equation
\n" ); document.write( " $\"w+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"$
\n" ); document.write( " $\"w+=+%2855+%2B-+sqrt%28+55%5E2-4%2A2%2A378+%29%29%2F%282%2A2%29+\"$
\n" ); document.write( " $\"w+=+%2855+%2B-+sqrt%28+3025-3024+%29%29%2F%282%2A2%29+\"$
\n" ); document.write( "w = 54/4, 56/4
\n" ); document.write( "w = 13.5
\n" ); document.write( "l = 14 \n" ); document.write( "

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