document.write( "Question 380165: Bob and Kevin both have square vegetable gardens. Kevin's garden is 10 feet longer than Bob's garden, and its area is four times the area of Bob's garden. What are the dimensions of Bob's garden? \n" ); document.write( "
Algebra.Com's Answer #269820 by mananth(16946)![]() ![]() You can put this solution on YOUR website! Bob's garden -side length be x feet \n" ); document.write( "Area = x*x=x^2 \n" ); document.write( ".. \n" ); document.write( "Kevin's garden - side length = x+10 feet \n" ); document.write( ".. \n" ); document.write( "so area = (x+10)*(x+10) \n" ); document.write( "=x^+20x+100 \n" ); document.write( ".. \n" ); document.write( "x^2+20x+100=4x^2 \n" ); document.write( "3x^2-20x-100=0 \n" ); document.write( "3x^2-30x+10x-100=0 \n" ); document.write( "3x(x-10)+10(x-10)=0 \n" ); document.write( "(x-10)(3x+10)=0 \n" ); document.write( "x= 10 \n" ); document.write( "Bob's garden dimensions = 10 feet by 10 feet \n" ); document.write( "... \n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( " |