document.write( "Question 302583: the area of a rectangular room is 104 square feet. The length of the room is 5 feet longer than the width. Find the dimensions of the room \n" ); document.write( "

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Area of a rectange = length * width \r
\n" ); document.write( "\n" ); document.write( "Area = 104 ft^2\r
\n" ); document.write( "\n" ); document.write( "Let's length be L and width be w\r
\n" ); document.write( "\n" ); document.write( "L = w + 5 (The length of the room is 5 feet longer than the width.)\r
\n" ); document.write( "\n" ); document.write( "Area in term of L and w gives: w(w+5) \r
\n" ); document.write( "\n" ); document.write( "Therefore,
\n" ); document.write( "w(w+5) = 104 \r
\n" ); document.write( "\n" ); document.write( "w^2 + 5w - 104 = 0 \r
\n" ); document.write( "\n" ); document.write( "(w + 13)(w-8) = 0 \r
\n" ); document.write( "\n" ); document.write( "w + 13 = 0 , w = - 13 (N/A)
\n" ); document.write( "or
\n" ); document.write( "w - 8 = 0 , w = 8ft \r
\n" ); document.write( "\n" ); document.write( "Length = (w + 5) = 8 + 5 = 13 ft\r
\n" ); document.write( "\n" ); document.write( "Answer: Length = 13 ft and width = 8 ft \r
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