Answer: [tex]w^2+4w-36=0[/tex]
Step-by-step explanation:
Let w = width of the base of the shoebox.
As per given ,
Length = 8+2w centimeters
Area of base = 72 square centimeter
Area of rectangle = Length x width
[tex]\Rightarrow\ 72=w(2w+8)\\\\\Rightarrow\ 72= 2w^2+8w\\\\\Rightarrow\ 2w^2+8w-72=0\\\\\Rightarrow\ w^2+4w-36=0[/tex]
Required equation: [tex]w^2+4w-36=0[/tex]
