document.write( "Question 1061450: The area of a rectangle garden is 36 meters.the width is 4 m longer than one third of the length find the length and the width of the garden \n" ); document.write( "
Algebra.Com's Answer #677111 by Cromlix(4381) You can put this solution on YOUR website! Hi there, \n" ); document.write( "Make length = x \n" ); document.write( "Width = 4 + x/3 \n" ); document.write( "Area = Length x width \n" ); document.write( "36 = x(4 + x/3) \n" ); document.write( "36 = 4x + x^2/3 \n" ); document.write( "Rearrange into y = ax^2 + bx + c \n" ); document.write( "x^2/3 + 4x - 36 = 0 \n" ); document.write( "Multiply throughout by 3 \n" ); document.write( "x^2 + 12x - 108 = 0 \n" ); document.write( "(x + 18)(x - 6) = 0 \n" ); document.write( "x + 18 = 0 \n" ); document.write( "x = -18 (Disregard as -ve) \n" ); document.write( "x - 6 = 0 \n" ); document.write( "x = 6 \n" ); document.write( "Length = 6m \n" ); document.write( "Width = 6m \n" ); document.write( "Hope this helps :-) \n" ); document.write( " |