document.write( "Question 951262: The dimensions of a rectangle garden were 3 yards by 10 yard. When both dimensions are increased by equal amounts,the area of the garden doubled. Find the dimensions of the new garden \n" ); document.write( "
Algebra.Com's Answer #580910 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! The dimensions of a rectangle garden were 3 yards by 10 yard. When both dimensions are increased by equal amounts,the area of the garden doubled. Find the dimensions of the new garden \n" ); document.write( "*** \n" ); document.write( "let x=amt both dimensions are increased by \n" ); document.write( "area=length*width \n" ); document.write( "original area=10*3=30 \n" ); document.write( "double the area=60 \n" ); document.write( "x+3=new dimension of width \n" ); document.write( "x+10=new dimension of length \n" ); document.write( ".. \n" ); document.write( "(x+3)(x+10)=60 \n" ); document.write( "x^2+13x+30=60 \n" ); document.write( "x^2+13x-30=0 \n" ); document.write( "(x+15)(x-2)=0 \n" ); document.write( "x=2 \n" ); document.write( "x+3=5 \n" ); document.write( "x+10=12 \n" ); document.write( "new dimension of width=5 yds \n" ); document.write( "new dimension of length=12 yds \n" ); document.write( " |