document.write( "Question 1030478: The dimensions of a rectangular garden were 3 m x 10 m. When both dimensions were increased by the same amount, the area of the garden doubled. Find the dimensions of the new garden. plz help \n" ); document.write( "
Algebra.Com's Answer #645353 by mananth(16946)\"\" \"About 
You can put this solution on YOUR website!
The dimensions of a rectangular garden were 3 m x 10 m. When both dimensions were increased by the same amount, the area of the garden doubled. Find the dimensions of the new garden.\r
\n" ); document.write( "\n" ); document.write( "The area of the garden is 3*10 = 30 m^2\r
\n" ); document.write( "\n" ); document.write( "Let the dimensions be increased by x m\r
\n" ); document.write( "\n" ); document.write( "new dimensions\r
\n" ); document.write( "\n" ); document.write( "(3+x) & (10+x)\r
\n" ); document.write( "\n" ); document.write( "both dimensions were increased by the same amount, the area of the garden doubled.
\n" ); document.write( "(3+x)(10+x) = 60 \r
\n" ); document.write( "\n" ); document.write( "x^2+13x+30=60\r
\n" ); document.write( "\n" ); document.write( "x^2+13x-30=0\r
\n" ); document.write( "\n" ); document.write( "x^2+15x-2x-30=0\r
\n" ); document.write( "\n" ); document.write( "x(x+15)-2(x+15)=0\r
\n" ); document.write( "\n" ); document.write( "(x+15)(x-2)=0\r
\n" ); document.write( "\n" ); document.write( "x=-15 OR x=2\r
\n" ); document.write( "\n" ); document.write( "take positive root\r
\n" ); document.write( "\n" ); document.write( "x=2\r
\n" ); document.write( "\n" ); document.write( "the new dimensions are 5m & 12 m\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );