document.write( "Question 105982: The sum of the length and the width of a rectangular region is equal to 205 feet, whereas the corresponding positive difference is 35 feet. Find the area of the enclosed rectangular region. ( Use 2-variable approaches) \n" ); document.write( "

Algebra.Com's Answer #77123 by alvinjohnburgos(11) $\"\"$ $\"About$

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If:
\n" ); document.write( "L = length
\n" ); document.write( "W = width
\n" ); document.write( "The sum of the length and the width of a rectangular region is equal to 205 feet:
\n" ); document.write( "eqn 1: $\"L+%2B+W+=+205\"$
\n" ); document.write( "the corresponding positive difference is 35 feet:
\n" ); document.write( "eqn 2: $\"L+-+W+=+35\"$
\n" ); document.write( "We will use the substitution method.
\n" ); document.write( "Isolate W:
\n" ); document.write( " $\"L+%2B+W+=+205\"$
\n" ); document.write( " $\"W+=+205+-+L\"$
\n" ); document.write( "Substitute (205 - L) in eq. 2:
\n" ); document.write( " $\"L+-+W+=+35\"$
\n" ); document.write( " $\"L+-+%28205+-+L%29+=+35\"$
\n" ); document.write( " $\"L+-+205+%2B+L+=+35\"$
\n" ); document.write( " $\"2L+=+240\"$
\n" ); document.write( " $\"L+=+120+feet\"$
\n" ); document.write( " $\"W+=+205+-+L+=+205+-+120+=+85+feet\"$
\n" ); document.write( "Area of the rectangular region is:
\n" ); document.write( " $\"A+=+LW+=+%28120%29%2885%29+=+10200\"$
\n" ); document.write( "The area of the rectangular region is 10200ft^2. \n" ); document.write( "

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