Question 739857
L*W = A


(x+2)(3x-7) = 30


3x^2-7x+6x-14 = 30


3x^2-7x+6x-14-30 = 0


3x^2-x-44 = 0


(3x+11)(x-4) = 0


3x+11=0 or x-4=0


3x=-11 or x=4


x=-11/3 or x=4


Ignore the negative solution.


So the only solution is x = 4


Length: x+2 = 4+2 = 6


So the actual length is 6 inches.