document.write( "Question 697473: If one side of a square is tripled and another side is increased by 4cm,the area of the resulting rectangle is 180cm^2.What is the length of the side of the original square? \n" ); document.write( "
Algebra.Com's Answer #430048 by mananth(16946)![]() ![]() You can put this solution on YOUR website! let side of square be x\r \n" ); document.write( "\n" ); document.write( "3x & x+4 are the new dimensions\r \n" ); document.write( "\n" ); document.write( "Area = L * W\r \n" ); document.write( "\n" ); document.write( "3x(x+4) = 180 \n" ); document.write( "3x^2+12x=180 \n" ); document.write( "3x^2+12x-180=0\r \n" ); document.write( "\n" ); document.write( "/3 \n" ); document.write( "x^2+4x-60=0\r \n" ); document.write( "\n" ); document.write( "x^2+10x-4x-60=0 \n" ); document.write( "x(x+10)-4(x+10)=0 \n" ); document.write( "(x+10)(x-4)=0\r \n" ); document.write( "\n" ); document.write( "x=-10 OR 4\r \n" ); document.write( "\n" ); document.write( "x cannot be negative \n" ); document.write( "therefore the side of square is 4cm \n" ); document.write( " |