Answer :
Answer:
The dimensions of the rectangle in terms of x are (x+6) and (x-3).
Step-by-step explanation:
The area of the triangle = LENGTH X WIDTH
Now, here the given expression for area is [tex]x^{2} + 3x -18[/tex]
Factorize the given expression, we get
[tex]x^{2} + 3x -18 = x^{2} + 6x -3x -18[/tex]
or, [tex]x^{2} + 6x -3x -18 = 0[/tex]
⇒[tex]x(x+6)-3(x+6) =0[/tex]
⇒[tex](x+6)(x-3) =0[/tex]
So, the given area expression [tex]x^{2} + 3x -18 = (x+6)(x-3)[/tex]
Hence, the dimensions of the rectangle are (x+6) and (x-3).