document.write( "Question 972887: My daughter and I are arguing over this problem. So a second opinion would be greatly appreciated. \r
\n" ); document.write( "\n" ); document.write( "A rectangle has a length that is 4 feet greater than its width. If each side of the rectangle is increased by 3 feet, write an equation to represent the area of the new rectangle. My daughter's answer was
\n" ); document.write( "4x^2+15x+9.\r
\n" ); document.write( "\n" ); document.write( "Please show steps. I incorrectly submitted wrong numbers before, so having difficulty explaining.
\n" ); document.write( "Thanks in advance and any feedback is appreciated. \n" ); document.write( "

Algebra.Com's Answer #595142 by MathTherapy(10552) $\"\"$ $\"About$

You can put this solution on YOUR website!

\n" ); document.write( "My daughter and I are arguing over this problem. So a second opinion would be greatly appreciated. \r
\n" ); document.write( "\n" ); document.write( "A rectangle has a length that is 4 feet greater than its width. If each side of the rectangle is increased by 3 feet, write an equation to represent the area of the new rectangle. My daughter's answer was
\n" ); document.write( "4x^2+15x+9.\r
\n" ); document.write( "\n" ); document.write( "Please show steps. I incorrectly submitted wrong numbers before, so having difficulty explaining.
\n" ); document.write( "Thanks in advance and any feedback is appreciated.
\n" ); document.write( "

Let rectangle's width be W
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document.write( "Then its length = W + 4
\n" );
document.write( "An increase of 3 feet makes the new width: W + 3
\n" );
document.write( "An increase of 3 feet makes the new length: W + 4 + 3, or W + 7
\n" );
document.write( "New area = new width, times new length, OR (W + 3)(W + 7)
\n" );
document.write( "This expands, by distribution, to: Area =  \n" );
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