Answer: 2. \(\frac{148-12h}{12+2h}\)
Step-by-step explanation:
Given: Cary calculated the surface area of a box in the shape of a rectangular prism.
The equation written by Cary to represent the width and height of the box. :
\(148=2(6w+6h+hw)\)
If we open the bracket on the right side, we get
\(148=12w+12h+2hw\\\\\Rightarrow148=12h+12w+2hw\\\\\Rightarrow148=12h+w(12+2h)\\\\\Rightarrow148-12h=w(12+2h)\\\\\Rightarroww=\frac{148-12h}{12+2h}\)
Hence the equation is equivalent to the equation written by Cary after solved for w \(w=\frac{74-6h}{h+6}\) is \(\frac{148-12h}{12+2h}\)
