(A) Ar(Rectangle)=l*w
= x^2-6x-27=l(x-9)
= x^2-9x+3x-27
= x(x-9)+3(x-9)
= (x+3)(x-9)
Width= (x-9)
Length= (x+3)
Thus, the length of the Rectangle is (x+3) units.
(B) (L+3)*(W+3)=?
= [(x+3)+3]*[(x-9)+3]
= (x+9)*(x-6)
= x^2-6x+9x-54
= x^2+3x-54
Thus, the area of the larger triangle is x^2+3x-54 units