document.write( "Question 337809: You put a flower bed that is 20 by 30ft. you are putting in a uniform border around the outside of the rectangular garden. You have enough to cover 336 sq. feet. How wide should the border be? \n" ); document.write( "
Algebra.Com's Answer #242343 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! You put a flower bed that is 20 by 30ft. you are putting in a uniform border \n" ); document.write( " around the outside of the rectangular garden. \n" ); document.write( " You have enough to cover 336 sq. feet. \n" ); document.write( " How wide should the border be? \n" ); document.write( ": \n" ); document.write( "Let x = the width of the borders \n" ); document.write( ": \n" ); document.write( "Then the overall dimensions (garden & border) will be (2x+20) by (2x+30) \n" ); document.write( ": \n" ); document.write( "Overall area - garden area = border area \n" ); document.write( "(2x+20)*(2x+30) - (20*30) = 336 \n" ); document.write( "FOIL \n" ); document.write( "4x^2 + 60x + 40x + 600 - 600 = 336 \n" ); document.write( "A quadratic equation \n" ); document.write( "4x^2 + 100x - 336 = 0 \n" ); document.write( "Simplify, divide by 4 \n" ); document.write( "x^2 + 25x - 84 = 0 \n" ); document.write( "factors to \n" ); document.write( "(x-3)(x+28) = 0 \n" ); document.write( "the positive solution \n" ); document.write( "x = 3 ft is the width of the border \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check this by finding the overall area (Overall dimensions 26 by 36) \n" ); document.write( "26*36 - 600 = \n" ); document.write( "936 - 600 = 336 \n" ); document.write( " |