document.write( "Question 929354: The length and width of a rectangle are 7m and 5m, respectively. When each dimension is increased by the same amount, the area is tripled. Find the dimensions of the new rectangle to the nearest tenth of a meter. \n" ); document.write( "

Algebra.Com's Answer #564227 by ewatrrr(24785) $\"\"$ $\"About$

You can put this solution on YOUR website!

 
\n" );
document.write( "Hi,
\n" );
document.write( "     .
\n" );
document.write( "A = lw
\n" );
document.write( "Question States***
\n" );
document.write( "(7m + x)(5m + x) = 3(7m)(5m)
\n" );
document.write( "35 + 12x + x^2 = 105
\n" );
document.write( "x^2 + 12x - 70 = 0 (tossing out negative solution for unit measure)
\n" );
document.write( " x = 4.3 rounded
\n" );
document.write( "11.3m  by 9.3m are the dimensions of the new rectangle to the nearest tenth of a meter
\n" );
document.write( " \n" );
document.write( "\n" );
document.write( " \n" );
document.write( "\n" );
document.write( "Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation  (in our case ) has the following solutons:
\n" );
document.write( "  
\n" );
document.write( "  
\n" );
document.write( "  
\n" );
document.write( "  For these solutions to exist, the discriminant  should not be a negative number.
\n" );
document.write( "  
\n" );
document.write( "  First, we need to compute the discriminant : .
\n" );
document.write( "  
\n" );
document.write( "  Discriminant d=424 is greater than zero. That means that there are two solutions: .
\n" );
document.write( "  
\n" );
document.write( "    
\n" );
document.write( "    
\n" );
document.write( "    
\n" );
document.write( "    Quadratic expression  can be factored:
\n" );
document.write( "  
\n" );
document.write( "  Again, the answer is: 4.295630140987, -16.295630140987.\n" );
document.write( "Here's your graph:
\n" );
document.write( "\n" );
document.write( " 
\n" );
document.write( " \n" );
document.write( "

\n" );