Question 707187
x(2x - 1) = 36


2x^2 - x = 36


2x^2 - x - 36 = 0


(2x - 9)(x + 4) = 0


2x-9 = 0 or x+4 = 0


2x = 9 or x = -4


x = 9/2 or x = -4


x = 4.5 or x = -4


Toss out the negative solution.


So x = 4.5, 2x-1 = 2(4.5)-1 = 8


Therefore, the rectangle has a length of 8 m and a width of 4.5 m