Area of a rectangle is Length times width.
The Width is given as X and the length is 2x+3
Now you have x * 2x+3 = 230
Multiplying x to 2x+3 = 2x^2 +3x
2x^2 +3x = 230
Subtract 230 from both sides:
2x^2+3x-230 = 0
Factor the polynomial:
(x-10) (2x+23) = 0
Solve for each x:
x = 10 and X = -11.5
Since a side of a rectangle can't be a negative number x = 10.
The width = x = 10 yards.
The length = 2(10) +3 = 23 yards.
