welp pls.i’m so confused

Answer:
Length = 17 units
Width = 1 unit
Step-by-step explanation:
[tex]A = l * b[/tex]
[tex]17 = (2x+1) (x-7)\\17 = 2x^{2} -14x+x-7\\17 = 2x^{2} -13x-7\\2x^{2} -13x-7-17=0\\2x^{2} - 13x -24=0\\(2x+3) (x-8)=0\\x=-\frac{3}{2} or x=8\\[/tex]
but x cannot be negative because length and width cannot be negative;
[tex]x\neq -\frac{3}{2} : x = 8[/tex]
Length:-
[tex]=2x +1\\=2(8)+1\\=17units[/tex]
Width:-
[tex]=x-7\\=8-7\\=1 unit[/tex]