document.write( "Question 360614: Mr. Blitzer has a planted a vegtable garden filled with chili pepper plants. He dug the garden bed long and narrow to measure 3 feet by 10 feet, so that he could tend more easily to his plants. He would like to build a brick patio of equal width surrounding the garden. The area that the bricks cover is 100 square feet. How wide should the patio measure? \n" ); document.write( "
Algebra.Com's Answer #257321 by mananth(16946)![]() ![]() You can put this solution on YOUR website! width of garden = 3 \n" ); document.write( "length = 10 \n" ); document.write( "area = 30 ft^2 \n" ); document.write( ".. \n" ); document.write( "let the patio width be p \n" ); document.write( "total width will be 3+2p \n" ); document.write( "total length = 10+2p \n" ); document.write( ".. \n" ); document.write( "Area of patio = 100 ft^2 \n" ); document.write( "... \n" ); document.write( "Total area = (10+2p)(3+2p) \n" ); document.write( "(10+2p)(3+2p)- 30 = 100 \n" ); document.write( "30+26p+4p^2-30=100 \n" ); document.write( "4p^2+26p-100=0 \n" ); document.write( "/2 \n" ); document.write( "2p^2+13p-50=0use quadratic formula \n" ); document.write( "discriminant = 569 \n" ); document.write( "p1=(-13+sqrt(562))/4 \n" ); document.write( "p1= 2.71 feet the width of patio \n" ); document.write( "... \n" ); document.write( "p2= -9.2 negative so ignore \n" ); document.write( ".... \n" ); document.write( "m.ananth@hotmail.ca\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |