Answer:
9
Explanation:
width =x
\text{length = }x+1
length = x+1
\text{width}\cdot\text{length}=\text{area}
width⋅length=area
x(x+1)=
x(x+1)=
\,\,72
72
x^2+x=
x
2
+x=
\,\,72
72
-72=
−72=
\,\,-72
−72
x^2+x-72=0
x
2
+x−72=0
Set to Zero
(x-8)(x+9)=0
(x−8)(x+9)=0
Factor
x-8=0 \hspace{30px} x+9=0
x−8=0x+9=0
Set factors to zero
x=8 \hspace{40px} x=-9
x=8x=−9
\text{width}=8
width=8
Ignore the negative solution.
\text{length}=x+1
length=x+1
8+1
8+1